VandenBroeck and Keller, Equation (6)

Time bar (total: 18.0s)

analyze281.0ms (1.6%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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: 144.0ms
ival-mult: 74.0ms (51.5% of total)
ival-div: 21.0ms (14.6% of total)
ival-tan: 20.0ms (13.9% of total)
ival-pi: 13.0ms (9% of total)
ival-sub: 13.0ms (9% of total)
const: 3.0ms (2.1% of total)
backward-pass: 1.0ms (0.7% of total)

sample4.4s (24.4%)

Results
3.5s3810×1valid
377.0ms4357×0valid
199.0ms89×2valid
1.0ms2×5exit
Precisions
Click to see histograms. Total time spent on operations: 3.8s
ival-tan: 2.9s (77.7% of total)
ival-mult: 530.0ms (14% of total)
ival-div: 94.0ms (2.5% of total)
ival-sub: 79.0ms (2.1% of total)
backward-pass: 65.0ms (1.7% of total)
ival-pi: 63.0ms (1.7% of total)
const: 15.0ms (0.4% of total)
Bogosity

preprocess127.0ms (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)

IterNodesCost
02876
19466
229266
377266
4170066
5267966
6361066
7424866
8436066
9436866
01012
12611
26511
315211
426711
547011
671211
799211
8140611
9220511
10238611
11247011
12248611
0248611
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)

explain448.0ms (2.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1240-0-(tan.f64 (*.f64 (PI.f64) l))
480-0-(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
20-0-(/.f64 #s(literal 1 binary64) (*.f64 F F))
00-0-(PI.f64)
00-0-F
00-0-l
00-0-(*.f64 F F)
00-0-(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (PI.f64) l)
Results
137.0ms68×2valid
132.0ms152×1valid
89.0ms24×3valid
27.0ms268×0valid
Compiler

Compiled 108 to 32 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 332.0ms
ival-tan: 280.0ms (84.3% of total)
ival-mult: 27.0ms (8.1% of total)
backward-pass: 8.0ms (2.4% of total)
ival-div: 7.0ms (2.1% of total)
ival-pi: 6.0ms (1.8% of total)
ival-sub: 4.0ms (1.2% of total)
const: 1.0ms (0.3% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 8 computations (42.9% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
▶76.9%
(-.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)

simplify56.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓cost-diff128
(-.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)

IterNodesCost
01273
13469
27669
316269
427769
548669
677169
7104869
8148569
9240169
10258169
11266569
12268169
0268169
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

localize269.0ms (1.5%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(*.f64 (PI.f64) l)
✓accuracy82.6%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
✓accuracy54.2%
(tan.f64 (*.f64 (PI.f64) l))
✓accuracy99.6%
(*.f64 (PI.f64) l)
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 F F))
✓accuracy81.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓accuracy54.2%
(tan.f64 (*.f64 (PI.f64) l))
Results
93.0ms76×1valid
82.0ms34×2valid
41.0ms12×3valid
29.0ms134×0valid
Compiler

Compiled 79 to 13 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 179.0ms
ival-tan: 147.0ms (82.3% of total)
ival-mult: 11.0ms (6.2% of total)
ival-div: 7.0ms (3.9% of total)
ival-sub: 6.0ms (3.4% of total)
backward-pass: 6.0ms (3.4% of total)
ival-pi: 2.0ms (1.1% of total)
const: 1.0ms (0.6% of total)

series23.0ms (0.1%)

Counts
8 → 132
Calls
Call 1
Inputs
#<alt (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))>
#<alt (* (/ 1 (* F F)) (tan (* (PI) l)))>
#<alt (* (PI) l)>
#<alt (PI)>
#<alt (- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))>
#<alt (/ (tan (* (PI) l)) (* F F))>
#<alt (tan (* (PI) l))>
#<alt (/ 1 (* F F))>
Outputs
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
Calls

33 calls:

TimeVariablePointExpression
12.0ms
l
@0
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
2.0ms
F
@0
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
1.0ms
l
@inf
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
1.0ms
l
@-inf
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
1.0ms
F
@0
(* (/ 1 (* F F)) (tan (* (PI) l)))

rewrite351.0ms (1.9%)

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)

IterNodesCost
01250
110049
266449
0848449
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))))
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(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64))
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(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) F))
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(*.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))))
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(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))
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(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 F)) #s(literal -1 binary64)))
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(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
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(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) F))
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(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)))
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(*.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))
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simplify462.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
5744×*-lowering-*.f32
5744×*-lowering-*.f64
3298×+-lowering-+.f64
3298×+-lowering-+.f32
1758×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01492431
14702287
217552051
081352051
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* l (- (PI) (/ (PI) (pow F 2))))
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(* l (PI))
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(* -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))
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(/ (* l (PI)) (pow F 2))
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(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* l (PI))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ 1 (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))
Outputs
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(* 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))))
(*.f64 l (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F)) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (-.f64 (/.f64 (/.f64 (PI.f64) F) F) (PI.f64))))
(* 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))))
(*.f64 l (+.f64 (PI.f64) (-.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (*.f64 l (*.f64 l (-.f64 #s(literal 0 binary64) (/.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 F F))))))) (/.f64 (/.f64 (PI.f64) F) F))))
(* 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))))
(*.f64 l (+.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (-.f64 #s(literal 0 binary64) (/.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 F F))) (*.f64 (*.f64 l l) (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (*.f64 F F)))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64)) F))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64))))))))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (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)))))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (/.f64 (PI.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 (/.f64 (PI.f64) F) F) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) (*.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 (/.f64 (PI.f64) F) F) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) F) (*.f64 (*.f64 l l) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 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 (/.f64 (PI.f64) F) F) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) F) (*.f64 (*.f64 l l) (+.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F)) (*.f64 (*.f64 l l) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (*.f64 F F)))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64)) F))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64)))))))))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(* 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))))
(*.f64 l (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F)) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (-.f64 (/.f64 (/.f64 (PI.f64) F) F) (PI.f64))))
(* 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))))
(*.f64 l (+.f64 (PI.f64) (-.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (*.f64 l (*.f64 l (-.f64 #s(literal 0 binary64) (/.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 F F))))))) (/.f64 (/.f64 (PI.f64) F) F))))
(* 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))))
(*.f64 l (+.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (-.f64 #s(literal 0 binary64) (/.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 F F))) (*.f64 (*.f64 l l) (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (*.f64 F F)))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64)) F))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64))))))))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (/.f64 (PI.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 (/.f64 (PI.f64) F) F) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) (*.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 (/.f64 (PI.f64) F) F) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) F) (*.f64 (*.f64 l l) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 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 (/.f64 (PI.f64) F) F) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) F) (*.f64 (*.f64 l l) (+.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F)) (*.f64 (*.f64 l l) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (*.f64 F F)))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64)) F))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64)))))))))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))))
(* 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)

eval119.0ms (0.7%)

Compiler

Compiled 25493 to 1634 computations (93.6% saved)

prune94.0ms (0.5%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New95714971
Fresh000
Picked022
Done000
Total95716973
Accuracy
99.5%
Counts
973 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.4%
(/.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)))))
77.4%
(-.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)))
77.4%
(-.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)))
▶77.1%
(-.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
▶82.8%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
▶82.8%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
▶77.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (/.f64 (PI.f64) F)) F))
53.7%
(-.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)))
72.3%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
77.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l)) (*.f64 F F)))
✓77.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
71.7%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
✓76.9%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
41.7%
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
71.7%
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
▶72.9%
(*.f64 l (PI.f64))
Compiler

Compiled 534 to 322 computations (39.7% saved)

simplify124.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓cost-diff6656
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓cost-diff6656
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l)
✓cost-diff6656
(-.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
✓cost-diff128
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
✓cost-diff0
(/.f64 (*.f64 l (/.f64 (PI.f64) F)) F)
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff128
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (/.f64 (PI.f64) F)) F))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 l (PI.f64))
✓cost-diff0
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff0
(-.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)

IterNodesCost
025151
161150
2125150
3271150
4507150
5923150
62011150
75282150
87828150
08196150
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 (16.2%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓accuracy98.5%
(tan.f64 (*.f64 (PI.f64) l))
✓accuracy94.5%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
✓accuracy55.7%
(PI.f64)
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
✓accuracy99.8%
(*.f64 (PI.f64) l)
✓accuracy98.5%
(tan.f64 (*.f64 (PI.f64) l))
✓accuracy55.7%
(PI.f64)
✓accuracy99.8%
(*.f64 l (/.f64 (PI.f64) F))
✓accuracy99.8%
(*.f64 (PI.f64) l)
✓accuracy99.8%
(/.f64 (PI.f64) F)
✓accuracy55.7%
(PI.f64)
✓accuracy99.8%
(*.f64 l (PI.f64))
✓accuracy55.7%
(PI.f64)
✓accuracy99.8%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
✓accuracy99.8%
(*.f64 (PI.f64) l)
✓accuracy98.5%
(tan.f64 (*.f64 (PI.f64) l))
✓accuracy55.7%
(PI.f64)
Results
2.8s117×5exit
40.0ms135×0valid
3.0ms4×1valid
Compiler

Compiled 180 to 26 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.7s
ival-tan: 2.6s (94.8% of total)
ival-div: 46.0ms (1.7% of total)
ival-mult: 35.0ms (1.3% of total)
backward-pass: 32.0ms (1.2% of total)
ival-sub: 16.0ms (0.6% of total)
ival-cbrt: 8.0ms (0.3% of total)
ival-pi: 4.0ms (0.1% of total)
const: 1.0ms (0% of total)

series32.0ms (0.2%)

Counts
18 → 300
Calls
Call 1
Inputs
#<alt (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))>
#<alt (* (PI) l)>
#<alt (PI)>
#<alt (/ (/ (tan (* (PI) l)) F) F)>
#<alt (* l (PI))>
#<alt (- (* (PI) l) (/ (* 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 (/ (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))))>
#<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))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (- (PI) (/ (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) (/ (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))>
#<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)) F)>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (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 (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
Calls

75 calls:

TimeVariablePointExpression
16.0ms
F
@-inf
(/ (tan (* (PI) l)) (* F F))
2.0ms
l
@inf
(- (* (PI) l) (/ (* l (/ (PI) F)) F))
1.0ms
l
@0
(/ (tan (* (PI) l)) F)
0.0ms
l
@0
(- (* (PI) l) (/ (* l (/ (PI) F)) F))
0.0ms
F
@inf
(/ (tan (* (PI) l)) F)

rewrite394.0ms (2.2%)

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)

IterNodesCost
025106
1182105
21542105
09036105
Stop Event
1×iter limit
1×node limit
Counts
18 → 778
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))
(/ (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))))
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(/.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))

simplify319.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
5466×*-lowering-*.f32
5466×*-lowering-*.f64
4312×+-lowering-+.f64
4312×+-lowering-+.f32
1314×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01984453
16524229
223003883
084583883
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
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(* 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)))))
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(* l (PI))
(* l (PI))
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(* l (PI))
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(* l (PI))
(* l (PI))
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(* 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))
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(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
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(+ (* -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))))
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(* -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))
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(/ (* l (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)))
(+ (* -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))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (* l (PI)) F)
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* 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)))))
Outputs
(* l (- (PI) (/ (PI) (pow F 2))))
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(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
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(* l (- (+ (PI) (* (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))))
(*.f64 l (+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 l (*.f64 l (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F))) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)) (*.f64 (PI.f64) (PI.f64)))) F)) F) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) F) (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F)) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64))))))))))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
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(* l (PI))
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(* l (PI))
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(* l (PI))
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(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 l (*.f64 l (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) 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 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) F) F) (*.f64 (*.f64 l l) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F)))))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
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(*.f64 l (+.f64 (/.f64 (PI.f64) F) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) F) (*.f64 (*.f64 l l) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)) (*.f64 (PI.f64) (PI.f64)))) F))))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(*.f64 l (+.f64 (/.f64 (PI.f64) F) (*.f64 l (*.f64 l (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) F) (*.f64 (*.f64 l l) (+.f64 (*.f64 l (*.f64 l (+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (/.f64 #s(literal -1/5040 binary64) F)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F)) (*.f64 (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F)))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)) (*.f64 (PI.f64) (PI.f64)))) F))))) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)) (*.f64 (PI.f64) (PI.f64)))) F))))))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (cos.f64 (*.f64 l (PI.f64))))
(/ (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)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 l (*.f64 l (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) 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 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) F) F) (*.f64 (*.f64 l l) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F)))))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) F) F) (*.f64 l (*.f64 l (+.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F)) (*.f64 l (*.f64 l (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)) (*.f64 (PI.f64) (PI.f64)))) F)) F) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) F) (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F)) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64))))))))))))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))

eval259.0ms (1.4%)

Compiler

Compiled 40063 to 3387 computations (91.5% saved)

prune184.0ms (1%)

Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New1780141794
Fresh459
Picked325
Done022
Total1787231810
Accuracy
99.6%
Counts
1810 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.8%
(/.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)))))
15.2%
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
40.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))))
77.4%
(/.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)))))
▶40.6%
(-.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))))))
77.4%
(-.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)))
77.4%
(-.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)))
59.0%
(-.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))
▶77.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
▶59.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))))))
77.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
✓82.8%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
77.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
77.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) F)) F))
✓77.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
▶77.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
71.7%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
✓76.9%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
40.7%
(*.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))))))
71.7%
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
▶71.7%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
72.4%
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓72.9%
(*.f64 l (PI.f64))
Compiler

Compiled 833 to 454 computations (45.5% saved)

simplify240.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))
✓cost-diff256
(/.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)))))
✓cost-diff256
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
✓cost-diff896
(-.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))))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))))))))
✓cost-diff256
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))))))
✓cost-diff0
(/.f64 (/.f64 l (/.f64 F (PI.f64))) F)
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff128
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
✓cost-diff0
(/.f64 (PI.f64) (*.f64 F F))
✓cost-diff0
(PI.f64)
✓cost-diff0
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
✓cost-diff0
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
✓cost-diff0
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff128
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
Rules
4728×*-lowering-*.f32
4728×*-lowering-*.f64
2976×/-lowering-/.f32
2976×/-lowering-/.f64
1622×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040364
1130358
2436340
32107324
47192324
08112324
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) (/ (PI) (* F F))))
l
(- (PI) (/ (PI) (* F F)))
(PI)
(/ (PI) (* F F))
(* F F)
F
(- (* (PI) l) (/ (/ l (/ F (PI))) F))
(* (PI) l)
(PI)
l
(/ (/ l (/ F (PI))) F)
(/ l (/ F (PI)))
(/ F (PI))
F
(- (* (PI) l) (/ (/ 1 F) (/ F (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))))))
(* (PI) l)
(PI)
l
(/ (/ 1 F) (/ F (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3)))))))
(/ 1 F)
1
F
(/ F (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))))
(* 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
(- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))) (* l (+ (PI) (/ (PI) (* F F))))))
(/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F)))))
(* (PI) (* l (* (PI) l)))
(PI)
(* l (* (PI) l))
l
(* (PI) l)
(* l (+ (PI) (/ (PI) (* F F))))
(+ (PI) (/ (PI) (* F F)))
(/ (PI) (* F F))
(* F F)
F
(/ (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))) (* l (+ (PI) (/ (PI) (* F F)))))
(/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F)))
(/ (/ (* (PI) l) F) F)
(/ (* (PI) l) F)
(/ F (/ (* (PI) l) F))
Outputs
(- (* (PI) l) (* (/ (PI) F) (/ l F)))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(* (/ (PI) F) (/ l F))
(/.f64 (PI.f64) (/.f64 F (/.f64 l F)))
(/ (PI) F)
(/.f64 (PI.f64) F)
F
(/ l F)
(/.f64 l F)
(* l (- (PI) (/ (PI) (* F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
l
(- (PI) (/ (PI) (* F F)))
(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
(PI)
(PI.f64)
(/ (PI) (* F F))
(/.f64 (/.f64 (PI.f64) F) F)
(* F F)
(*.f64 F F)
F
(- (* (PI) l) (/ (/ l (/ F (PI))) F))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ l (/ F (PI))) F)
(/.f64 (PI.f64) (/.f64 F (/.f64 l F)))
(/ l (/ F (PI)))
(/.f64 (*.f64 (PI.f64) l) F)
(/ F (PI))
(/.f64 F (PI.f64))
F
(- (* (PI) l) (/ (/ 1 F) (/ F (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) #s(literal 1 binary64)) (PI.f64)) (*.f64 F F))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ 1 F) (/ F (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3)))))))
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) #s(literal 1 binary64)) (PI.f64)) (/.f64 (/.f64 l F) F))
(/ 1 F)
(/.f64 #s(literal 1 binary64) F)
1
#s(literal 1 binary64)
F
(/ F (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))))
(/.f64 (/.f64 F l) (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) #s(literal 1 binary64)) (PI.f64)))
(* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3)))))
(*.f64 l (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) #s(literal 1 binary64)) (PI.f64)))
(+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))
(*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) #s(literal 1 binary64)) (PI.f64))
(* l (* l (* (* (PI) (* (PI) (PI))) 1/3)))
(*.f64 (PI.f64) (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) l)))))
(* l (* (* (PI) (* (PI) (PI))) 1/3))
(*.f64 (PI.f64) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) l))))
(* (* (PI) (* (PI) (PI))) 1/3)
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.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)
(- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))) (* l (+ (PI) (/ (PI) (* F F))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) l)) (/.f64 (PI.f64) (*.f64 F (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F)))))))
(/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F)))))
(*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))
(* (PI) (* l (* (PI) l)))
(*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))
(PI)
(PI.f64)
(* l (* (PI) l))
(*.f64 l (*.f64 (PI.f64) l))
l
(* (PI) l)
(*.f64 (PI.f64) l)
(* l (+ (PI) (/ (PI) (* F F))))
(*.f64 (PI.f64) (+.f64 l (/.f64 (/.f64 l F) F)))
(+ (PI) (/ (PI) (* F F)))
(+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
(/ (PI) (* F F))
(/.f64 (/.f64 (PI.f64) F) F)
(* F F)
(*.f64 F F)
F
(/ (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))) (* l (+ (PI) (/ (PI) (* F F)))))
(/.f64 (/.f64 (PI.f64) F) (*.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F)))))
(/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F)))
(*.f64 l (/.f64 (PI.f64) (*.f64 F (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))))
(/ (/ (* (PI) l) F) F)
(/.f64 (PI.f64) (/.f64 F (/.f64 l F)))
(/ (* (PI) l) F)
(/.f64 (*.f64 (PI.f64) l) F)
(/ F (/ (* (PI) l) F))
(/.f64 F (/.f64 (*.f64 (PI.f64) l) F))

localize173.0ms (1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(/.f64 (PI.f64) (*.f64 F F))
✓accuracy93.9%
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
✓accuracy66.8%
(/.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)))))
✓accuracy62.9%
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
✓accuracy98.4%
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy95.0%
(/.f64 F (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))))
✓accuracy94.8%
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))))))))
✓accuracy99.8%
(/.f64 (/.f64 l (/.f64 F (PI.f64))) F)
✓accuracy99.7%
(/.f64 l (/.f64 F (PI.f64)))
✓accuracy99.7%
(/.f64 F (PI.f64))
✓accuracy99.6%
(*.f64 (PI.f64) l)
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
✓accuracy99.2%
(/.f64 (PI.f64) (*.f64 F F))
✓accuracy93.9%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
✓accuracy100.0%
(PI.f64)
✓accuracy99.7%
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
✓accuracy99.6%
(*.f64 (PI.f64) l)
✓accuracy99.6%
(/.f64 (PI.f64) F)
Results
109.0ms256×0valid
Compiler

Compiled 390 to 41 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-div: 23.0ms (39.1% of total)
ival-mult: 21.0ms (35.7% 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: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series32.0ms (0.2%)

Counts
22 → 384
Calls
Call 1
Inputs
#<alt (- (* (PI) l) (* (/ (PI) F) (/ l F)))>
#<alt (* (PI) l)>
#<alt (PI)>
#<alt (* (/ (PI) F) (/ l F))>
#<alt (* l (- (PI) (/ (PI) (* F F))))>
#<alt (- (PI) (/ (PI) (* F F)))>
#<alt (/ (PI) (* F F))>
#<alt (- (* (PI) l) (/ (/ l (/ F (PI))) F))>
#<alt (/ (/ l (/ F (PI))) F)>
#<alt (- (* (PI) l) (/ (/ 1 F) (/ F (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))))))>
#<alt (/ (/ 1 F) (/ F (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3)))))))>
#<alt (- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))) (* l (+ (PI) (/ (PI) (* F F))))))>
#<alt (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F)))))>
#<alt (/ (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))) (* l (+ (PI) (/ (PI) (* F F)))))>
#<alt (* (PI) (* l (* (PI) l)))>
#<alt (/ (PI) F)>
#<alt (/ F (PI))>
#<alt (/ l (/ F (PI)))>
#<alt (/ F (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))))>
#<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 (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))>
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))>
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))>
#<alt (PI)>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (PI)>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
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#<alt (* l (PI))>
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#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
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#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (- (PI) (/ (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) (* 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 (/ (* 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 (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))>
#<alt (* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))>
#<alt (* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))>
#<alt (* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))>
#<alt (* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))>
#<alt (* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))>
#<alt (* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))>
#<alt (* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))>
#<alt (* -1 (* l (- (* -1 (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2))))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))))>
#<alt (* -1 (* l (- (* -1 (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2))))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))))>
#<alt (* -1 (* l (- (* -1 (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2))))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))))>
#<alt (* -1 (* l (- (* -1 (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2))))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (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)) (* (pow F 2) (+ (* -1 (* l (PI))) (* l (PI)))))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (+ (* l (PI)) (* (pow F 2) (+ (* -1 (* l (PI))) (* l (PI)))))) (* l (PI))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 4))) (* l (PI))) (/ (* l (PI)) (pow F 2)))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 4))) (* l (PI))) (/ (* l (PI)) (pow F 2)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 4))) (* l (PI))) (/ (* l (PI)) (pow F 2)))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 4))) (* l (PI))) (/ (* l (PI)) (pow F 2)))>
#<alt (/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (+ (* -1 (* (pow F 2) (* l (PI)))) (* l (PI))))>
#<alt (* (pow F 2) (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (* l (PI))) (* l (PI))))))>
#<alt (* (pow F 2) (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (- (* -1 (* (pow F 2) (* l (PI)))) (* -1 (* l (PI))))) (* l (PI))))))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))>
#<alt (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))>
#<alt (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (+ (* -1 (* (pow F 2) (* l (PI)))) (* l (PI))) (pow F 2))>
#<alt (/ (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (* l (PI))) (* l (PI))))) (pow F 2))>
#<alt (/ (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (- (* -1 (* (pow F 2) (* l (PI)))) (* -1 (* l (PI))))) (* l (PI))))) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 4))>
#<alt (/ (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) (pow F 4))>
#<alt (/ (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))) (pow F 4))>
#<alt (/ (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))) (pow F 4))>
#<alt (/ (* l (PI)) (pow F 4))>
#<alt (/ (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) (pow F 4))>
#<alt (/ (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))) (pow F 4))>
#<alt (/ (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))) (pow F 4))>
#<alt (* (pow l 2) (pow (PI) 2))>
#<alt (* (pow l 2) (pow (PI) 2))>
#<alt (* (pow l 2) (pow (PI) 2))>
#<alt (* (pow l 2) (pow (PI) 2))>
#<alt (* (pow l 2) (pow (PI) 2))>
#<alt (* (pow l 2) (pow (PI) 2))>
#<alt (* (pow l 2) (pow (PI) 2))>
#<alt (* (pow l 2) (pow (PI) 2))>
#<alt (* (pow l 2) (pow (PI) 2))>
#<alt (* (pow l 2) (pow (PI) 2))>
#<alt (* (pow l 2) (pow (PI) 2))>
#<alt (* (pow l 2) (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 (/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))>
#<alt (/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))>
#<alt (/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))>
#<alt (/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))>
#<alt (/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))>
#<alt (/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))>
#<alt (/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))>
#<alt (/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))>
#<alt (/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))>
#<alt (/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))>
#<alt (/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))>
#<alt (/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))>
#<alt (/ F (* l (PI)))>
#<alt (/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)>
#<alt (/ (+ (* (pow l 2) (- (* 1/9 (* F (* (pow l 2) (pow (PI) 3)))) (* 1/3 (* F (PI))))) (/ F (PI))) l)>
#<alt (/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1/27 (* F (* (pow l 2) (pow (PI) 5)))) (* -1/9 (* F (pow (PI) 3))))) (* 1/3 (* F (PI))))) (/ F (PI))) l)>
#<alt (* 3 (/ F (* (pow l 3) (pow (PI) 3))))>
#<alt (/ (+ (* -9 (/ F (* (pow l 2) (pow (PI) 5)))) (* 3 (/ F (pow (PI) 3)))) (pow l 3))>
#<alt (/ (- (+ (* 3 (/ F (pow (PI) 3))) (* 27 (/ F (* (pow l 4) (pow (PI) 7))))) (* 9 (/ F (* (pow l 2) (pow (PI) 5))))) (pow l 3))>
#<alt (/ (- (+ (* -81 (/ F (* (pow l 6) (pow (PI) 9)))) (* 3 (/ F (pow (PI) 3)))) (+ (* -27 (/ F (* (pow l 4) (pow (PI) 7)))) (* 9 (/ F (* (pow l 2) (pow (PI) 5)))))) (pow l 3))>
#<alt (* 3 (/ F (* (pow l 3) (pow (PI) 3))))>
#<alt (* -1 (/ (+ (* -3 (/ F (pow (PI) 3))) (* 9 (/ F (* (pow l 2) (pow (PI) 5))))) (pow l 3)))>
#<alt (* -1 (/ (+ (* -27 (/ F (* (pow l 4) (pow (PI) 7)))) (+ (* -3 (/ F (pow (PI) 3))) (* 9 (/ F (* (pow l 2) (pow (PI) 5)))))) (pow l 3)))>
#<alt (* -1 (/ (+ (* -27 (/ F (* (pow l 4) (pow (PI) 7)))) (+ (* -3 (/ F (pow (PI) 3))) (+ (* 9 (/ F (* (pow l 2) (pow (PI) 5)))) (* 81 (/ F (* (pow l 6) (pow (PI) 9))))))) (pow l 3)))>
#<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

96 calls:

TimeVariablePointExpression
7.0ms
l
@inf
(- (* (PI) l) (/ (/ 1 F) (/ F (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))))))
2.0ms
l
@0
(- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))) (* l (+ (PI) (/ (PI) (* F F))))))
1.0ms
l
@0
(- (* (PI) l) (/ (/ 1 F) (/ F (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))))))
1.0ms
l
@inf
(- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))) (* l (+ (PI) (/ (PI) (* F F))))))
1.0ms
F
@0
(- (* (PI) l) (/ (/ 1 F) (/ F (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))))))

rewrite362.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
4158×*-lowering-*.f32
4158×*-lowering-*.f64
2064×pow-lowering-pow.f64
2064×pow-lowering-pow.f32
1872×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040200
1320182
23663180
08152180
Stop Event
1×iter limit
1×node limit
Counts
22 → 916
Calls
Call 1
Inputs
(- (* (PI) l) (* (/ (PI) F) (/ l F)))
(* (PI) l)
(PI)
(* (/ (PI) F) (/ l F))
(* l (- (PI) (/ (PI) (* F F))))
(- (PI) (/ (PI) (* F F)))
(/ (PI) (* F F))
(- (* (PI) l) (/ (/ l (/ F (PI))) F))
(/ (/ l (/ F (PI))) F)
(- (* (PI) l) (/ (/ 1 F) (/ F (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))))))
(/ (/ 1 F) (/ F (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3)))))))
(- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))) (* l (+ (PI) (/ (PI) (* F F))))))
(/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F)))))
(/ (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))) (* l (+ (PI) (/ (PI) (* F F)))))
(* (PI) (* l (* (PI) l)))
(/ (PI) F)
(/ F (PI))
(/ l (/ F (PI)))
(/ F (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))))
(* (PI) (* (PI) (PI)))
(* (* (PI) (* (PI) (PI))) 1/3)
(* l (+ (PI) (/ (PI) (* F F))))
Outputs
(+.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))
(+.f64 (*.f64 (PI.f64) l) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))))
(+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (*.f64 (PI.f64) l) F)) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (*.f64 (PI.f64) l))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(-.f64 (*.f64 (PI.f64) l) (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l))) (+.f64 (*.f64 (*.f64 (PI.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 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F))) (+.f64 (*.f64 (*.f64 (PI.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 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) l) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.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 (/.f64 F (/.f64 (*.f64 (PI.f64) l) F)) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))) (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (*.f64 (*.f64 (PI.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) (*.f64 (PI.f64) l)) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (*.f64 (*.f64 (PI.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) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (+.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F))))))) (/.f64 (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (*.f64 (*.f64 (PI.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) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (+.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F))))))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (+.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F))))) (/.f64 (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (+.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F))))))
(fma.f64 (PI.f64) l (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))
(fma.f64 (PI.f64) l (neg.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))))
(fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 l l)) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(fma.f64 l (PI.f64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))
(fma.f64 l (PI.f64) (neg.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))))
(fma.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(fma.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (neg.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(fma.f64 (*.f64 (PI.f64) (*.f64 l l)) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(fma.f64 (*.f64 (PI.f64) (*.f64 l l)) (/.f64 (PI.f64) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(fma.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (neg.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (*.f64 (PI.f64) (*.f64 l l)) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (neg.f64 (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 (PI.f64) (*.f64 l l)) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(fma.f64 (*.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(fma.f64 (/.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (*.f64 l l)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l l)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (/.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
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(*.f64 (/.f64 (/.f64 F l) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 l l)) (*.f64 (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 l l)))))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 l l)) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 l l)) (PI.f64)))))
(*.f64 (/.f64 (/.f64 F l) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 l l))))) (-.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 l l))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) F) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 l l))) (-.f64 #s(literal 0 binary64) l))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #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)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.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 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))
(*.f64 (*.f64 (PI.f64) (*.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 (/.f64 (*.f64 (PI.f64) l) F) F))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(fma.f64 l (PI.f64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(fma.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(fma.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(fma.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(/.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l))) (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F)))) (+.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (-.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))) F)) (/.f64 (*.f64 (PI.f64) l) (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))))
(/.f64 (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 F F) F) (*.f64 (*.f64 F F) 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 l (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F)))) (-.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 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 F F) F) (*.f64 (*.f64 F F) F)))) l) (+.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 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F))) l) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)

simplify292.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
4688×*-lowering-*.f32
4688×*-lowering-*.f64
2294×/-lowering-/.f32
2294×/-lowering-/.f64
1402×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02164276
16914179
224473974
083743974
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
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))
(* 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)))
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(/ (* 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) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))
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(* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))
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(* (pow l 3) (- (/ (PI) (pow l 2)) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))))
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))
(* -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)))))))
(* -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)))))))
(* -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)))))))
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))
(/ (- (* (pow F 2) (* l (PI))) (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))) (pow F 2))
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(+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI)))
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(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))
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(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))
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(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))
(/ (* l (PI)) (pow F 2))
(* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2))))
(* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2))))
(* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2))))
(* 1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))
(* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))
(* 1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))))
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))))
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))))
(* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))
(* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))
(* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))
(* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))
(* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))
(* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))
(* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))
(* l (- (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2)))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))
(* -1 (* l (- (* -1 (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2))))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))))
(* -1 (* l (- (* -1 (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2))))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))))
(* -1 (* l (- (* -1 (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2))))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))))
(* -1 (* l (- (* -1 (/ (pow (PI) 2) (+ (PI) (/ (PI) (pow F 2))))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (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)) (* (pow F 2) (+ (* -1 (* l (PI))) (* l (PI)))))) (* l (PI))) (pow F 2))
(/ (- (* (pow F 2) (+ (* l (PI)) (* (pow F 2) (+ (* -1 (* l (PI))) (* l (PI)))))) (* 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 (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 4))) (* l (PI))) (/ (* 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 (/ (+ (* -1 (* l (PI))) (* l (PI))) (pow F 4))) (* l (PI))) (/ (* l (PI)) (pow F 2)))
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (pow (PI) 2)) (+ (PI) (/ (PI) (pow F 2))))
(* (pow F 2) (* l (PI)))
(* (pow F 2) (+ (* -1 (* (pow F 2) (* l (PI)))) (* l (PI))))
(* (pow F 2) (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (* l (PI))) (* l (PI))))))
(* (pow F 2) (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (- (* -1 (* (pow F 2) (* l (PI)))) (* -1 (* l (PI))))) (* l (PI))))))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))
(- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))
(- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (PI)) (pow F 2))
(/ (+ (* -1 (* (pow F 2) (* l (PI)))) (* l (PI))) (pow F 2))
(/ (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (* l (PI))) (* l (PI))))) (pow F 2))
(/ (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (- (* -1 (* (pow F 2) (* l (PI)))) (* -1 (* l (PI))))) (* l (PI))))) (pow F 2))
(/ (* l (PI)) (pow F 4))
(/ (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) (pow F 4))
(/ (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))) (pow F 4))
(/ (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))) (pow F 4))
(/ (* l (PI)) (pow F 4))
(/ (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) (pow F 4))
(/ (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))) (pow F 4))
(/ (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))) (pow F 4))
(* (pow l 2) (pow (PI) 2))
(* (pow l 2) (pow (PI) 2))
(* (pow l 2) (pow (PI) 2))
(* (pow l 2) (pow (PI) 2))
(* (pow l 2) (pow (PI) 2))
(* (pow l 2) (pow (PI) 2))
(* (pow l 2) (pow (PI) 2))
(* (pow l 2) (pow (PI) 2))
(* (pow l 2) (pow (PI) 2))
(* (pow l 2) (pow (PI) 2))
(* (pow l 2) (pow (PI) 2))
(* (pow l 2) (pow (PI) 2))
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/ F (* l (PI)))
(/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)
(/ (+ (* (pow l 2) (- (* 1/9 (* F (* (pow l 2) (pow (PI) 3)))) (* 1/3 (* F (PI))))) (/ F (PI))) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1/27 (* F (* (pow l 2) (pow (PI) 5)))) (* -1/9 (* F (pow (PI) 3))))) (* 1/3 (* F (PI))))) (/ F (PI))) l)
(* 3 (/ F (* (pow l 3) (pow (PI) 3))))
(/ (+ (* -9 (/ F (* (pow l 2) (pow (PI) 5)))) (* 3 (/ F (pow (PI) 3)))) (pow l 3))
(/ (- (+ (* 3 (/ F (pow (PI) 3))) (* 27 (/ F (* (pow l 4) (pow (PI) 7))))) (* 9 (/ F (* (pow l 2) (pow (PI) 5))))) (pow l 3))
(/ (- (+ (* -81 (/ F (* (pow l 6) (pow (PI) 9)))) (* 3 (/ F (pow (PI) 3)))) (+ (* -27 (/ F (* (pow l 4) (pow (PI) 7)))) (* 9 (/ F (* (pow l 2) (pow (PI) 5)))))) (pow l 3))
(* 3 (/ F (* (pow l 3) (pow (PI) 3))))
(* -1 (/ (+ (* -3 (/ F (pow (PI) 3))) (* 9 (/ F (* (pow l 2) (pow (PI) 5))))) (pow l 3)))
(* -1 (/ (+ (* -27 (/ F (* (pow l 4) (pow (PI) 7)))) (+ (* -3 (/ F (pow (PI) 3))) (* 9 (/ F (* (pow l 2) (pow (PI) 5)))))) (pow l 3)))
(* -1 (/ (+ (* -27 (/ F (* (pow l 4) (pow (PI) 7)))) (+ (* -3 (/ F (pow (PI) 3))) (+ (* 9 (/ F (* (pow l 2) (pow (PI) 5)))) (* 81 (/ F (* (pow l 6) (pow (PI) 9))))))) (pow l 3)))
(* 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)))
Outputs
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(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
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(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
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(* -1 (/ (* l (PI)) (pow F 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
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(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
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(* l (PI))
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(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
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(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
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(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
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(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
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(* l (PI))
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(* l (PI))
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(* l (PI))
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(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (PI) (pow F 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (*.f64 F F)))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
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(*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64))))
(* (pow l 2) (pow (PI) 2))
(*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64))))
(* (pow l 2) (pow (PI) 2))
(*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64))))
(* (pow l 2) (pow (PI) 2))
(*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64))))
(* (pow l 2) (pow (PI) 2))
(*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64))))
(* (pow l 2) (pow (PI) 2))
(*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64))))
(* (pow l 2) (pow (PI) 2))
(*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64))))
(/ (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)
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ F (PI))
(/.f64 F (PI.f64))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ (* l (PI)) F)
(*.f64 (PI.f64) (/.f64 l F))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/.f64 F (*.f64 l (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (PI.f64))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/.f64 F (*.f64 l (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (PI.f64))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/.f64 F (*.f64 l (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (PI.f64))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/.f64 F (*.f64 l (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (PI.f64))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/.f64 F (*.f64 l (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (PI.f64))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/.f64 F (*.f64 l (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (PI.f64))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/.f64 F (*.f64 l (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (PI.f64))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/.f64 F (*.f64 l (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (PI.f64))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/.f64 F (*.f64 l (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (PI.f64))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/.f64 F (*.f64 l (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (PI.f64))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/.f64 F (*.f64 l (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (PI.f64))))
(/ F (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))))
(/.f64 F (*.f64 l (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (PI.f64))))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)
(/.f64 (+.f64 (/.f64 F (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l F))))) l)
(/ (+ (* (pow l 2) (- (* 1/9 (* F (* (pow l 2) (pow (PI) 3)))) (* 1/3 (* F (PI))))) (/ F (PI))) l)
(/.f64 (+.f64 (/.f64 F (PI.f64)) (*.f64 (*.f64 l l) (*.f64 F (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l (*.f64 l (PI.f64))))) #s(literal 1/9 binary64)) (*.f64 (PI.f64) #s(literal -1/3 binary64)))))) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1/27 (* F (* (pow l 2) (pow (PI) 5)))) (* -1/9 (* F (pow (PI) 3))))) (* 1/3 (* F (PI))))) (/ F (PI))) l)
(/.f64 (+.f64 (/.f64 F (PI.f64)) (*.f64 l (*.f64 l (+.f64 (*.f64 (*.f64 l l) (*.f64 F (+.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 l (*.f64 l (pow.f64 (PI.f64) #s(literal 5 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/9 binary64))))) (*.f64 F (*.f64 (PI.f64) #s(literal -1/3 binary64))))))) l)
(* 3 (/ F (* (pow l 3) (pow (PI) 3))))
(/.f64 (/.f64 (*.f64 F #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 l (*.f64 l l)))
(/ (+ (* -9 (/ F (* (pow l 2) (pow (PI) 5)))) (* 3 (/ F (pow (PI) 3)))) (pow l 3))
(/.f64 (+.f64 (/.f64 (*.f64 F #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 #s(literal -9 binary64) (/.f64 (/.f64 F l) l)) (pow.f64 (PI.f64) #s(literal 5 binary64)))) (*.f64 l (*.f64 l l)))
(/ (- (+ (* 3 (/ F (pow (PI) 3))) (* 27 (/ F (* (pow l 4) (pow (PI) 7))))) (* 9 (/ F (* (pow l 2) (pow (PI) 5))))) (pow l 3))
(/.f64 (-.f64 (/.f64 (*.f64 F #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (/.f64 (/.f64 F l) l)) (pow.f64 (PI.f64) #s(literal 5 binary64))) (/.f64 (*.f64 F (/.f64 #s(literal -27 binary64) (pow.f64 l #s(literal 4 binary64)))) (pow.f64 (PI.f64) #s(literal 7 binary64))))) (*.f64 l (*.f64 l l)))
(/ (- (+ (* -81 (/ F (* (pow l 6) (pow (PI) 9)))) (* 3 (/ F (pow (PI) 3)))) (+ (* -27 (/ F (* (pow l 4) (pow (PI) 7)))) (* 9 (/ F (* (pow l 2) (pow (PI) 5)))))) (pow l 3))
(/.f64 (+.f64 (/.f64 (*.f64 F #s(literal -81 binary64)) (*.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (PI.f64) #s(literal 9 binary64)))) (-.f64 (/.f64 (*.f64 F #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (/.f64 (/.f64 F l) l)) (pow.f64 (PI.f64) #s(literal 5 binary64))) (/.f64 (*.f64 F (/.f64 #s(literal -27 binary64) (pow.f64 l #s(literal 4 binary64)))) (pow.f64 (PI.f64) #s(literal 7 binary64)))))) (*.f64 l (*.f64 l l)))
(* 3 (/ F (* (pow l 3) (pow (PI) 3))))
(/.f64 (/.f64 (*.f64 F #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 l (*.f64 l l)))
(* -1 (/ (+ (* -3 (/ F (pow (PI) 3))) (* 9 (/ F (* (pow l 2) (pow (PI) 5))))) (pow l 3)))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (/.f64 (/.f64 F l) l)) (pow.f64 (PI.f64) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3 binary64) (/.f64 F (*.f64 (PI.f64) (PI.f64)))) (PI.f64))) (-.f64 #s(literal 0 binary64) (*.f64 l (*.f64 l l))))
(* -1 (/ (+ (* -27 (/ F (* (pow l 4) (pow (PI) 7)))) (+ (* -3 (/ F (pow (PI) 3))) (* 9 (/ F (* (pow l 2) (pow (PI) 5)))))) (pow l 3)))
(/.f64 (-.f64 (/.f64 (*.f64 F (/.f64 #s(literal 27 binary64) (pow.f64 l #s(literal 4 binary64)))) (pow.f64 (PI.f64) #s(literal 7 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (/.f64 (/.f64 F l) l)) (pow.f64 (PI.f64) #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3 binary64) (/.f64 F (*.f64 (PI.f64) (PI.f64)))) (PI.f64)))) (*.f64 l (*.f64 l l)))
(* -1 (/ (+ (* -27 (/ F (* (pow l 4) (pow (PI) 7)))) (+ (* -3 (/ F (pow (PI) 3))) (+ (* 9 (/ F (* (pow l 2) (pow (PI) 5)))) (* 81 (/ F (* (pow l 6) (pow (PI) 9))))))) (pow l 3)))
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (/.f64 (/.f64 F l) l)) (pow.f64 (PI.f64) #s(literal 5 binary64))) (/.f64 (*.f64 F (/.f64 #s(literal -27 binary64) (pow.f64 l #s(literal 4 binary64)))) (pow.f64 (PI.f64) #s(literal 7 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) (/.f64 F (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) (/.f64 (*.f64 F #s(literal 81 binary64)) (*.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (PI.f64) #s(literal 9 binary64)))))) (-.f64 #s(literal 0 binary64) (*.f64 l (*.f64 l l))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (PI.f64) (/.f64 l 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 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+ (* l (PI)) (/ (* l (PI)) (pow F 2)))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+ (* l (PI)) (/ (* l (PI)) (pow F 2)))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* l (PI)) (/ (* l (PI)) (pow F 2)))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+ (* l (PI)) (/ (* l (PI)) (pow F 2)))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+ (* l (PI)) (/ (* l (PI)) (pow F 2)))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))

eval311.0ms (1.7%)

Compiler

Compiled 78244 to 5504 computations (93% saved)

prune212.0ms (1.2%)

Pruning

23 alts after pruning (16 fresh and 7 done)

PrunedKeptTotal
New2196112207
Fresh9514
Picked235
Done044
Total2207232230
Accuracy
99.6%
Counts
2230 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶59.0%
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
15.2%
(/.f64 (*.f64 l (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (PI.f64))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
15.2%
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
40.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))))
77.4%
(/.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)))))
40.6%
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l 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))))))
57.2%
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
▶55.1%
(-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) l)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 F F) F) (*.f64 (*.f64 F F) 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 (*.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))))))
▶77.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
✓77.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
▶88.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (+.f64 (/.f64 F (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l F))))) l)))
77.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 (PI.f64) l))))
✓82.8%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
57.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 (/.f64 F l) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 l l))))) (-.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 l l))))))
✓77.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
72.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (/.f64 F (/.f64 (PI.f64) F))))
✓77.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
✓76.9%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
27.1%
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
▶71.7%
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
✓71.7%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
72.4%
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓72.9%
(*.f64 l (PI.f64))
Compiler

Compiled 920 to 469 computations (49% saved)

simplify486.0ms (2.7%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff256
(*.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) l))
✓cost-diff640
(/.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) l)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 F F) F) (*.f64 (*.f64 F F) F)))))
✓cost-diff768
(*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) l)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 F F) F) (*.f64 (*.f64 F F) F))))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (-.f64 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64)))))
✓cost-diff1280
(-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) l)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 F F) F) (*.f64 (*.f64 F F) 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 (*.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))))))
✓cost-diff0
(*.f64 (PI.f64) (PI.f64))
✓cost-diff128
(-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F)))
✓cost-diff128
(*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F))) l)
✓cost-diff128
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
✓cost-diff0
(/.f64 (/.f64 (PI.f64) F) (/.f64 F l))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff128
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
✓cost-diff0
(/.f64 (/.f64 (PI.f64) F) F)
✓cost-diff0
(PI.f64)
✓cost-diff0
(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
✓cost-diff0
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (+.f64 (/.f64 F (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l F))))) l))
✓cost-diff128
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (+.f64 (/.f64 F (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l F))))) l)))
Rules
5270×*-lowering-*.f32
5270×*-lowering-*.f64
2492×/-lowering-/.f32
2492×/-lowering-/.f64
1568×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052597
1169544
2621493
32965471
08083471
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (* (PI) l) (/ (/ 1 F) (/ (+ (/ F (PI)) (* (PI) (* -1/3 (* l (* l F))))) l)))
(* (PI) l)
(PI)
l
(/ (/ 1 F) (/ (+ (/ F (PI)) (* (PI) (* -1/3 (* l (* l F))))) l))
(/ 1 F)
1
F
(/ (+ (/ F (PI)) (* (PI) (* -1/3 (* l (* l F))))) l)
(+ (/ F (PI)) (* (PI) (* -1/3 (* l (* l F)))))
(/ F (PI))
(* (PI) (* -1/3 (* l (* l F))))
(* -1/3 (* l (* l F)))
-1/3
(* l (* l F))
(* l F)
(* l (- (PI) (/ (/ (PI) F) F)))
l
(- (PI) (/ (/ (PI) F) F))
(PI)
(/ (/ (PI) F) F)
(/ (PI) F)
F
(- (* (PI) l) (/ (/ (PI) F) (/ F l)))
(* (PI) l)
(PI)
l
(/ (/ (PI) F) (/ F l))
(/ (PI) F)
F
(/ F l)
(/ (* (- (* (PI) (PI)) (/ (/ (PI) F) (* (/ F (/ (PI) F)) F))) l) (+ (PI) (/ (PI) (* F F))))
(* (- (* (PI) (PI)) (/ (/ (PI) F) (* (/ F (/ (PI) F)) F))) l)
(- (* (PI) (PI)) (/ (/ (PI) F) (* (/ F (/ (PI) F)) F)))
(* (PI) (PI))
(PI)
(/ (/ (PI) F) (* (/ F (/ (PI) F)) F))
(/ (PI) F)
F
(* (/ F (/ (PI) F)) F)
(/ F (/ (PI) F))
l
(+ (PI) (/ (PI) (* F F)))
(/ (PI) (* F F))
(* F F)
(- (* (/ (* (* (PI) l) (/ (* (PI) l) l)) (+ (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* (* F F) F) (* (* F F) F))))) (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (- (/ (PI) (* F F)) (PI))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))) (* l (+ (PI) (/ (PI) (* F F))))))
(* (/ (* (* (PI) l) (/ (* (PI) l) l)) (+ (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* (* F F) F) (* (* F F) F))))) (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (- (/ (PI) (* F F)) (PI)))))
(/ (* (* (PI) l) (/ (* (PI) l) l)) (+ (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* (* F F) F) (* (* F F) F)))))
(* (* (PI) l) (/ (* (PI) l) l))
(* (PI) l)
(PI)
l
(/ (* (PI) l) l)
(+ (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* (* F F) F) (* (* F F) F))))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
(/ (* (PI) (* (PI) (PI))) (* (* (* F F) F) (* (* F F) F)))
(* (* (* F F) F) (* (* F F) F))
(* (* F F) F)
(* F F)
F
(+ (* (PI) (PI)) (* (/ (PI) (* F F)) (- (/ (PI) (* F F)) (PI))))
(* (/ (PI) (* F F)) (- (/ (PI) (* F F)) (PI)))
(/ (PI) (* F F))
(- (/ (PI) (* F F)) (PI))
(/ (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))) (* l (+ (PI) (/ (PI) (* F F)))))
(/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F)))
(/ (/ (* (PI) l) F) F)
(/ (* (PI) l) F)
(/ F (/ (* (PI) l) F))
(* l (+ (PI) (/ (PI) (* F F))))
(+ (PI) (/ (PI) (* F F)))
Outputs
(- (* (PI) l) (/ (/ 1 F) (/ (+ (/ F (PI)) (* (PI) (* -1/3 (* l (* l F))))) l)))
(*.f64 l (+.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 (PI.f64) (*.f64 l F)))))))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ 1 F) (/ (+ (/ F (PI)) (* (PI) (* -1/3 (* l (* l F))))) l))
(/.f64 l (*.f64 F (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 (PI.f64) (*.f64 l F)))))))
(/ 1 F)
(/.f64 #s(literal 1 binary64) F)
1
#s(literal 1 binary64)
F
(/ (+ (/ F (PI)) (* (PI) (* -1/3 (* l (* l F))))) l)
(/.f64 (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 (PI.f64) (*.f64 l F))))) l)
(+ (/ F (PI)) (* (PI) (* -1/3 (* l (* l F)))))
(+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 (PI.f64) (*.f64 l F)))))
(/ F (PI))
(/.f64 F (PI.f64))
(* (PI) (* -1/3 (* l (* l F))))
(*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 (PI.f64) (*.f64 l F))))
(* -1/3 (* l (* l F)))
(*.f64 l (*.f64 l (*.f64 F #s(literal -1/3 binary64))))
-1/3
#s(literal -1/3 binary64)
(* l (* l F))
(*.f64 l (*.f64 l F))
(* l F)
(*.f64 l F)
(* l (- (PI) (/ (/ (PI) F) F)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
l
(- (PI) (/ (/ (PI) F) F))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI)
(PI.f64)
(/ (/ (PI) F) F)
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) F)
(/.f64 (PI.f64) F)
F
(- (* (PI) l) (/ (/ (PI) F) (/ F l)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ (PI) F) (/ F l))
(/.f64 (/.f64 (PI.f64) (/.f64 F l)) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
F
(/ F l)
(/.f64 F l)
(/ (* (- (* (PI) (PI)) (/ (/ (PI) F) (* (/ F (/ (PI) F)) F))) l) (+ (PI) (/ (PI) (* F F))))
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F))))))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* (- (* (PI) (PI)) (/ (/ (PI) F) (* (/ F (/ (PI) F)) F))) l)
(*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))))))
(- (* (PI) (PI)) (/ (/ (PI) F) (* (/ F (/ (PI) F)) F)))
(*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F))))))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
(/ (/ (PI) F) (* (/ F (/ (PI) F)) F))
(/.f64 (PI.f64) (/.f64 (*.f64 F (*.f64 F (*.f64 F F))) (PI.f64)))
(/ (PI) F)
(/.f64 (PI.f64) F)
F
(* (/ F (/ (PI) F)) F)
(/.f64 (*.f64 F (*.f64 F F)) (PI.f64))
(/ F (/ (PI) F))
(/.f64 F (/.f64 (PI.f64) F))
l
(+ (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)
(- (* (/ (* (* (PI) l) (/ (* (PI) l) l)) (+ (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* (* F F) F) (* (* F F) F))))) (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (- (/ (PI) (* F F)) (PI))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))) (* l (+ (PI) (/ (PI) (* F F))))))
(*.f64 (*.f64 (PI.f64) l) (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (-.f64 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64)) (*.f64 F F)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F (*.f64 F (*.f64 F F)))))))))) (/.f64 (/.f64 (/.f64 (PI.f64) (*.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 F F))))
(* (/ (* (* (PI) l) (/ (* (PI) l) l)) (+ (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* (* F F) F) (* (* F F) F))))) (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (- (/ (PI) (* F F)) (PI)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F (*.f64 F (*.f64 F F)))))))))) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (-.f64 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64)) (*.f64 F F)))))
(/ (* (* (PI) l) (/ (* (PI) l) l)) (+ (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* (* F F) F) (* (* F F) F)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F (*.f64 F (*.f64 F F))))))))))
(* (* (PI) l) (/ (* (PI) l) l))
(*.f64 (PI.f64) (*.f64 (PI.f64) l))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (* (PI) l) l)
(PI.f64)
(+ (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* (* F F) F) (* (* F F) F))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F (*.f64 F (*.f64 F F))))))))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(/ (* (PI) (* (PI) (PI))) (* (* (* F F) F) (* (* F F) F)))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 F (*.f64 F (*.f64 F (*.f64 F F))))))
(* (* (* F F) F) (* (* F F) F))
(*.f64 F (*.f64 F (*.f64 F (*.f64 F (*.f64 F F)))))
(* (* F F) F)
(*.f64 F (*.f64 F F))
(* F F)
(*.f64 F F)
F
(+ (* (PI) (PI)) (* (/ (PI) (* F F)) (- (/ (PI) (* F F)) (PI))))
(*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (-.f64 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64)) (*.f64 F F))))
(* (/ (PI) (* F F)) (- (/ (PI) (* F F)) (PI)))
(/.f64 (*.f64 (PI.f64) (-.f64 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64))) (*.f64 F F))
(/ (PI) (* F F))
(/.f64 (PI.f64) (*.f64 F F))
(- (/ (PI) (* F F)) (PI))
(-.f64 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64))
(/ (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))) (* l (+ (PI) (/ (PI) (* F F)))))
(/.f64 (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F)))
(/.f64 (*.f64 (PI.f64) l) (*.f64 F (*.f64 F (/.f64 F (/.f64 (PI.f64) (/.f64 F l))))))
(/ (/ (* (PI) l) F) F)
(/.f64 (/.f64 (PI.f64) (/.f64 F l)) F)
(/ (* (PI) l) F)
(/.f64 (PI.f64) (/.f64 F l))
(/ F (/ (* (PI) l) F))
(/.f64 F (/.f64 (PI.f64) (/.f64 F l)))
(* l (+ (PI) (/ (PI) (* F F))))
(*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F))))
(+ (PI) (/ (PI) (* F F)))
(+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))

localize287.0ms (1.6%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.0%
(/.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) l)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 F F) F) (*.f64 (*.f64 F F) F)))))
✓accuracy93.9%
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
✓accuracy66.8%
(/.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)))))
✓accuracy59.2%
(*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) l)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 F F) F) (*.f64 (*.f64 F F) F))))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (-.f64 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64)))))
✓accuracy99.6%
(/.f64 (PI.f64) F)
✓accuracy99.2%
(/.f64 (PI.f64) (*.f64 F F))
✓accuracy98.3%
(*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F))) l)
✓accuracy68.2%
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
✓accuracy100.0%
(PI.f64)
✓accuracy99.7%
(/.f64 (/.f64 (PI.f64) F) (/.f64 F l))
✓accuracy99.6%
(*.f64 (PI.f64) l)
✓accuracy99.6%
(/.f64 (PI.f64) F)
✓accuracy100.0%
(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
✓accuracy99.8%
(/.f64 (/.f64 (PI.f64) F) F)
✓accuracy99.6%
(/.f64 (PI.f64) F)
✓accuracy93.9%
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (+.f64 (/.f64 F (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l F))))) l))
✓accuracy99.7%
(/.f64 F (PI.f64))
✓accuracy99.6%
(*.f64 (PI.f64) l)
✓accuracy86.9%
(/.f64 (+.f64 (/.f64 F (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l F))))) l)
Results
197.0ms256×0valid
Compiler

Compiled 637 to 53 computations (91.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-mult: 75.0ms (56.6% of total)
ival-div: 35.0ms (26.4% of total)
ival-sub: 11.0ms (8.3% of total)
ival-add: 5.0ms (3.8% of total)
...c/correct-round.rkt:119:19: 4.0ms (3% of total)
ival-pi: 1.0ms (0.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series277.0ms (1.5%)

Counts
23 → 408
Calls
Call 1
Inputs
#<alt (- (* (PI) l) (/ (/ 1 F) (/ (+ (/ F (PI)) (* (PI) (* -1/3 (* l (* l F))))) l)))>
#<alt (/ (/ 1 F) (/ (+ (/ F (PI)) (* (PI) (* -1/3 (* l (* l F))))) l))>
#<alt (* (PI) l)>
#<alt (PI)>
#<alt (* l (- (PI) (/ (/ (PI) F) F)))>
#<alt (- (PI) (/ (/ (PI) F) F))>
#<alt (/ (/ (PI) F) F)>
#<alt (- (* (PI) l) (/ (/ (PI) F) (/ F l)))>
#<alt (/ (/ (PI) F) (/ F l))>
#<alt (/ (* (- (* (PI) (PI)) (/ (/ (PI) F) (* (/ F (/ (PI) F)) F))) l) (+ (PI) (/ (PI) (* F F))))>
#<alt (* (- (* (PI) (PI)) (/ (/ (PI) F) (* (/ F (/ (PI) F)) F))) l)>
#<alt (- (* (PI) (PI)) (/ (/ (PI) F) (* (/ F (/ (PI) F)) F)))>
#<alt (* (PI) (PI))>
#<alt (- (* (/ (* (* (PI) l) (/ (* (PI) l) l)) (+ (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* (* F F) F) (* (* F F) F))))) (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (- (/ (PI) (* F F)) (PI))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))) (* l (+ (PI) (/ (PI) (* F F))))))>
#<alt (* (/ (* (* (PI) l) (/ (* (PI) l) l)) (+ (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* (* F F) F) (* (* F F) F))))) (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (- (/ (PI) (* F F)) (PI)))))>
#<alt (/ (* (* (PI) l) (/ (* (PI) l) l)) (+ (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* (* F F) F) (* (* F F) F)))))>
#<alt (* (* (PI) l) (/ (* (PI) l) l))>
#<alt (/ (+ (/ F (PI)) (* (PI) (* -1/3 (* l (* l F))))) l)>
#<alt (/ F (PI))>
#<alt (/ (PI) F)>
#<alt (/ (PI) (* F F))>
#<alt (/ (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))) (* l (+ (PI) (/ (PI) (* F F)))))>
#<alt (* l (+ (PI) (/ (PI) (* F F))))>
Outputs
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#<alt (* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* -1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (+ (* -1/9 (/ (pow (PI) 5) (pow F 2))) (* -1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2)))))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
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#<alt (* l (PI))>
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#<alt (* -1 (* l (- (+ (* -1 (PI)) (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 4)))) (/ 3 (* (pow F 2) (* (pow l 2) (PI)))))))>
#<alt (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
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#<alt (/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))>
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#<alt (* l (PI))>
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#<alt (* l (PI))>
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#<alt (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
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#<alt (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
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#<alt (* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (* 1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (* (pow l 2) (- (* 1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2))) (* -1/9 (/ (pow (PI) 5) (pow F 2))))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ -3 (* (pow F 2) (* l (PI))))>
#<alt (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l))>
#<alt (/ (- (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 2))) (* 3 (/ 1 (* (pow F 2) (PI))))) l)>
#<alt (/ (- (* -1 (/ (+ (* 27 (/ 1 (* (pow F 2) (pow (PI) 5)))) (* 81 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 7)))))) (pow l 4))) (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l)>
#<alt (/ -3 (* (pow F 2) (* l (PI))))>
#<alt (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l))>
#<alt (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (+ (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))) (/ 27 (* (pow F 2) (* (pow l 4) (pow (PI) 5)))))) l))>
#<alt (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 5))))) (+ (* 81 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 7))))) (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3))))))) l))>
#<alt (* 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))>
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#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
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#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))>
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))>
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))>
#<alt (PI)>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (PI)>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (/ (* l (pow (PI) 2)) (pow F 4)))>
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#<alt (/ (+ (* -1 (* l (pow (PI) 2))) (* (pow F 4) (* l (pow (PI) 2)))) (pow F 4))>
#<alt (* l (pow (PI) 2))>
#<alt (+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))>
#<alt (+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))>
#<alt (+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))>
#<alt (* l (pow (PI) 2))>
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#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* -1 (/ (pow (PI) 2) (pow F 4)))>
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#<alt (/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4))>
#<alt (pow (PI) 2)>
#<alt (+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))>
#<alt (+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))>
#<alt (+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))>
#<alt (pow (PI) 2)>
#<alt (+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))>
#<alt (+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))>
#<alt (+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))>
#<alt (* l (- (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))>
#<alt (* l (- (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))>
#<alt (* l (- (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))>
#<alt (* l (- (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))>
#<alt (* l (- (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))>
#<alt (* l (- (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))>
#<alt (* l (- (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))>
#<alt (* l (- (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))>
#<alt (* -1 (* l (- (* -1 (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))))>
#<alt (* -1 (* l (- (* -1 (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))))>
#<alt (* -1 (* l (- (* -1 (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))))>
#<alt (* -1 (* l (- (* -1 (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
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#<alt (* l (PI))>
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#<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 (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (* (pow F 2) (* l (PI)))>
#<alt (* (pow F 2) (+ (* -1 (* (pow F 2) (* l (PI)))) (* l (PI))))>
#<alt (* (pow F 2) (+ (* l (PI)) (* (pow F 2) (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))))))>
#<alt (* (pow F 2) (+ (* l (PI)) (* (pow F 2) (+ (* -1 (* l (PI))) (* (pow F 2) (+ (* -1 (* (pow F 2) (* l (PI)))) (* l (PI))))))))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (+ (* l (PI)) (/ (* l (PI)) (pow F 4))))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (+ (* -1 (/ (* l (PI)) (pow F 6))) (+ (* l (PI)) (/ (* l (PI)) (pow F 4)))))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (+ (* l (PI)) (/ (* l (PI)) (pow F 4))))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (+ (* -1 (/ (* l (PI)) (pow F 6))) (+ (* l (PI)) (/ (* l (PI)) (pow F 4)))))>
#<alt (/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))>
#<alt (/ (* (pow F 6) l) (PI))>
#<alt (* (pow F 6) (+ (* -1 (/ (* (pow F 6) l) (PI))) (/ l (PI))))>
#<alt (* (pow F 6) (+ (* (pow F 6) (- (/ (* (pow F 6) l) (PI)) (/ l (PI)))) (/ l (PI))))>
#<alt (* (pow F 6) (+ (* (pow F 6) (- (* (pow F 6) (- (* -1 (/ (* (pow F 6) l) (PI))) (* -1 (/ l (PI))))) (/ l (PI)))) (/ l (PI))))>
#<alt (/ l (PI))>
#<alt (+ (* -1 (/ l (* (pow F 6) (PI)))) (/ l (PI)))>
#<alt (- (+ (/ l (PI)) (/ l (* (pow F 12) (PI)))) (/ l (* (pow F 6) (PI))))>
#<alt (- (+ (* -1 (/ l (* (pow F 18) (PI)))) (/ l (PI))) (+ (* -1 (/ l (* (pow F 12) (PI)))) (/ l (* (pow F 6) (PI)))))>
#<alt (/ l (PI))>
#<alt (+ (* -1 (/ l (* (pow F 6) (PI)))) (/ l (PI)))>
#<alt (- (+ (/ l (PI)) (/ l (* (pow F 12) (PI)))) (/ l (* (pow F 6) (PI))))>
#<alt (- (+ (* -1 (/ l (* (pow F 18) (PI)))) (/ l (PI))) (+ (* -1 (/ l (* (pow F 12) (PI)))) (/ l (* (pow F 6) (PI)))))>
#<alt (* l (pow (PI) 2))>
#<alt (* l (pow (PI) 2))>
#<alt (* l (pow (PI) 2))>
#<alt (* l (pow (PI) 2))>
#<alt (* l (pow (PI) 2))>
#<alt (* l (pow (PI) 2))>
#<alt (* l (pow (PI) 2))>
#<alt (* l (pow (PI) 2))>
#<alt (* l (pow (PI) 2))>
#<alt (* l (pow (PI) 2))>
#<alt (* l (pow (PI) 2))>
#<alt (* l (pow (PI) 2))>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (* -1 (/ (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l))>
#<alt (* -1 (/ (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l))>
#<alt (* -1 (/ (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l))>
#<alt (* -1 (/ (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l))>
#<alt (/ F (* l (PI)))>
#<alt (/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)>
#<alt (/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)>
#<alt (/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)>
#<alt (* -1/3 (* F (* l (PI))))>
#<alt (* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))>
#<alt (* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))>
#<alt (* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))>
#<alt (* -1/3 (* F (* l (PI))))>
#<alt (* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))>
#<alt (* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))>
#<alt (* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))>
#<alt (/ F (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 (/ (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 (/ (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 (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (+ (* -1 (* (pow F 2) (* l (PI)))) (* l (PI))) (pow F 2))>
#<alt (/ (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (* l (PI))) (* l (PI))))) (pow F 2))>
#<alt (/ (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (- (* -1 (* (pow F 2) (* l (PI)))) (* -1 (* l (PI))))) (* l (PI))))) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 4))>
#<alt (/ (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) (pow F 4))>
#<alt (/ (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))) (pow F 4))>
#<alt (/ (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))) (pow F 4))>
#<alt (/ (* l (PI)) (pow F 4))>
#<alt (/ (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) (pow F 4))>
#<alt (/ (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))) (pow F 4))>
#<alt (/ (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))) (pow F 4))>
#<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

102 calls:

TimeVariablePointExpression
236.0ms
F
@inf
(- (* (PI) l) (/ (/ 1 F) (/ (+ (/ F (PI)) (* (PI) (* -1/3 (* l (* l F))))) l)))
7.0ms
F
@0
(/ (/ 1 F) (/ (+ (/ F (PI)) (* (PI) (* -1/3 (* l (* l F))))) l))
3.0ms
l
@0
(- (* (/ (* (* (PI) l) (/ (* (PI) l) l)) (+ (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* (* F F) F) (* (* F F) F))))) (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (- (/ (PI) (* F F)) (PI))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))) (* l (+ (PI) (/ (PI) (* F F))))))
1.0ms
F
@0
(- (* (PI) l) (/ (/ 1 F) (/ (+ (/ F (PI)) (* (PI) (* -1/3 (* l (* l F))))) l)))
1.0ms
F
@inf
(- (* (/ (* (* (PI) l) (/ (* (PI) l) l)) (+ (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* (* F F) F) (* (* F F) F))))) (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (- (/ (PI) (* F F)) (PI))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))) (* l (+ (PI) (/ (PI) (* F F))))))

rewrite366.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
3274×*-lowering-*.f32
3274×*-lowering-*.f64
2690×/-lowering-/.f32
2690×/-lowering-/.f64
1500×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052319
1411228
24981223
08012223
Stop Event
1×iter limit
1×node limit
Counts
23 → 712
Calls
Call 1
Inputs
(- (* (PI) l) (/ (/ 1 F) (/ (+ (/ F (PI)) (* (PI) (* -1/3 (* l (* l F))))) l)))
(/ (/ 1 F) (/ (+ (/ F (PI)) (* (PI) (* -1/3 (* l (* l F))))) l))
(* (PI) l)
(PI)
(* l (- (PI) (/ (/ (PI) F) F)))
(- (PI) (/ (/ (PI) F) F))
(/ (/ (PI) F) F)
(- (* (PI) l) (/ (/ (PI) F) (/ F l)))
(/ (/ (PI) F) (/ F l))
(/ (* (- (* (PI) (PI)) (/ (/ (PI) F) (* (/ F (/ (PI) F)) F))) l) (+ (PI) (/ (PI) (* F F))))
(* (- (* (PI) (PI)) (/ (/ (PI) F) (* (/ F (/ (PI) F)) F))) l)
(- (* (PI) (PI)) (/ (/ (PI) F) (* (/ F (/ (PI) F)) F)))
(* (PI) (PI))
(- (* (/ (* (* (PI) l) (/ (* (PI) l) l)) (+ (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* (* F F) F) (* (* F F) F))))) (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (- (/ (PI) (* F F)) (PI))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))) (* l (+ (PI) (/ (PI) (* F F))))))
(* (/ (* (* (PI) l) (/ (* (PI) l) l)) (+ (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* (* F F) F) (* (* F F) F))))) (+ (* (PI) (PI)) (* (/ (PI) (* F F)) (- (/ (PI) (* F F)) (PI)))))
(/ (* (* (PI) l) (/ (* (PI) l) l)) (+ (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) (* (* (* F F) F) (* (* F F) F)))))
(* (* (PI) l) (/ (* (PI) l) l))
(/ (+ (/ F (PI)) (* (PI) (* -1/3 (* l (* l F))))) l)
(/ F (PI))
(/ (PI) F)
(/ (PI) (* F F))
(/ (/ (/ (/ (* (PI) l) F) F) (/ F (/ (* (PI) l) F))) (* l (+ (PI) (/ (PI) (* F F)))))
(* l (+ (PI) (/ (PI) (* F F))))
Outputs
(+.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 l F) (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l (*.f64 l F)) (PI.f64)))))))
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l (*.f64 l F)) (PI.f64))))))) (+.f64 (*.f64 (neg.f64 (/.f64 l (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l (*.f64 l F)) (PI.f64)))))) (/.f64 #s(literal 1 binary64) F)) (/.f64 (/.f64 l F) (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l (*.f64 l F)) (PI.f64)))))))
(+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l (*.f64 l F)) (PI.f64))))))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l (*.f64 l F)) (PI.f64)))))) (/.f64 (/.f64 l F) (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l (*.f64 l F)) (PI.f64)))))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 l F) (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l (*.f64 l F)) (PI.f64)))))) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l (*.f64 l F)) (PI.f64))))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))) (+.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (/.f64 (/.f64 l F) (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l (*.f64 l F)) (PI.f64))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l (*.f64 l F)) (PI.f64)))))))))) (/.f64 (*.f64 (/.f64 (/.f64 l F) (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l (*.f64 l F)) (PI.f64))))) (/.f64 (/.f64 (/.f64 l F) (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l (*.f64 l F)) (PI.f64))))) (/.f64 (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l (*.f64 l F)) (PI.f64)))) (/.f64 l F)))) (+.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (/.f64 (/.f64 l F) (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l (*.f64 l F)) (PI.f64))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l (*.f64 l F)) (PI.f64)))))))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l (*.f64 l F)) (PI.f64)))))))) (/.f64 (/.f64 (/.f64 (/.f64 l F) (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l (*.f64 l F)) (PI.f64))))) (/.f64 (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l (*.f64 l F)) (PI.f64)))) (/.f64 l F))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (/.f64 F (PI.f64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l (*.f64 l F)) (PI.f64)))))))))
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(*.f64 (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)) (*.f64 (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)) (/.f64 (/.f64 #s(literal 1 binary64) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(*.f64 (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)) (/.f64 (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 (*.f64 F F) (/.f64 (*.f64 (PI.f64) l) F))) (/.f64 (/.f64 #s(literal 1 binary64) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 (*.f64 F F) (/.f64 (*.f64 (PI.f64) l) F)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (-.f64 #s(literal 0 binary64) l))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 (*.f64 F F) (/.f64 (*.f64 (PI.f64) l) F))))
(*.f64 (*.f64 (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)) (/.f64 (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)) l)) (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(*.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F (*.f64 F F))) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(*.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F (*.f64 F F))) (*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 (/.f64 #s(literal 1 binary64) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (/.f64 (*.f64 (PI.f64) l) F))))
(*.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)) l) (/.f64 (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(*.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (/.f64 (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)) l))
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F (*.f64 F F))) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F (*.f64 F F))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) l))
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)) (/.f64 (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)) l)) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F)))) (*.f64 (PI.f64) (PI.f64))))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (-.f64 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64)) (/.f64 F (/.f64 (PI.f64) F)))))
(*.f64 (/.f64 (*.f64 (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)) (/.f64 (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)) l)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (/.f64 F (/.f64 (PI.f64) (*.f64 F F)))))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+.f64 (*.f64 (PI.f64) l) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))
(+.f64 (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l))))
(fma.f64 (PI.f64) l (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))
(fma.f64 l (PI.f64) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))
(fma.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) l) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))
(fma.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))
(fma.f64 (*.f64 l (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))
(fma.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))
(fma.f64 (*.f64 l (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) l) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))
(/.f64 (*.f64 l (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (/.f64 F (/.f64 (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 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(/.f64 (*.f64 l (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F)))) (*.f64 (PI.f64) (PI.f64))))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (-.f64 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64)) (/.f64 F (/.f64 (PI.f64) F)))))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))) (*.f64 (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 (*.f64 F F) (/.f64 (*.f64 (PI.f64) l) F))))) (+.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 (*.f64 F F) (/.f64 (*.f64 (PI.f64) l) F))) (*.f64 (PI.f64) (*.f64 l (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F)))) (*.f64 (PI.f64) (PI.f64)))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (-.f64 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64)) (/.f64 F (/.f64 (PI.f64) F)))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)

simplify316.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
4186×*-lowering-*.f32
4186×*-lowering-*.f64
1764×/-lowering-/.f32
1764×/-lowering-/.f64
1676×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03505519
112035299
240285192
082675192
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* -1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (+ (* -1/9 (/ (pow (PI) 5) (pow F 2))) (* -1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2)))))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI)))))))
(* l (+ (PI) (+ (/ 3 (* (pow F 2) (* (pow l 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 4) (pow (PI) 3)))))))
(* l (+ (PI) (+ (* 9 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 3))))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 5))))) (/ 3 (* (pow F 2) (* (pow l 2) (PI))))))))
(* l (PI))
(* -1 (* l (- (* -1 (PI)) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI))))))))
(* -1 (* l (+ (* -1 (PI)) (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) (pow l 2))))))
(* -1 (* l (- (+ (* -1 (PI)) (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 4)))) (/ 3 (* (pow F 2) (* (pow l 2) (PI)))))))
(* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(* l (PI))
(+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(/ (* l (PI)) (pow F 2))
(* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (* 1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (* (pow l 2) (- (* 1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2))) (* -1/9 (/ (pow (PI) 5) (pow F 2))))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ -3 (* (pow F 2) (* l (PI))))
(* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l))
(/ (- (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 2))) (* 3 (/ 1 (* (pow F 2) (PI))))) l)
(/ (- (* -1 (/ (+ (* 27 (/ 1 (* (pow F 2) (pow (PI) 5)))) (* 81 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 7)))))) (pow l 4))) (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l)
(/ -3 (* (pow F 2) (* l (PI))))
(* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l))
(* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (+ (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))) (/ 27 (* (pow F 2) (* (pow l 4) (pow (PI) 5)))))) l))
(* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 5))))) (+ (* 81 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 7))))) (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3))))))) l))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
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(+ (* -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))))
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(+ (PI) (* -1 (/ (PI) (pow F 2))))
(/ (PI) (pow F 2))
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(/ (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))
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(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
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(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
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(/ (+ (* -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))
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(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (PI) (/ (PI) (pow F 2))))
(* -1 (/ (* l (pow (PI) 2)) (pow F 4)))
(/ (+ (* -1 (* l (pow (PI) 2))) (* (pow F 4) (* l (pow (PI) 2)))) (pow F 4))
(/ (+ (* -1 (* l (pow (PI) 2))) (* (pow F 4) (* l (pow (PI) 2)))) (pow F 4))
(/ (+ (* -1 (* l (pow (PI) 2))) (* (pow F 4) (* l (pow (PI) 2)))) (pow F 4))
(* l (pow (PI) 2))
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))
(* l (pow (PI) 2))
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))
(+ (* -1 (/ (* l (pow (PI) 2)) (pow F 4))) (* l (pow (PI) 2)))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* -1 (/ (pow (PI) 2) (pow F 4)))
(/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4))
(/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4))
(/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4))
(pow (PI) 2)
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))
(pow (PI) 2)
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))
(+ (* -1 (/ (pow (PI) 2) (pow F 4))) (pow (PI) 2))
(* l (- (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))
(* l (- (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))
(* l (- (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))
(* l (- (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))
(* l (- (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))
(* l (- (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))
(* l (- (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))
(* l (- (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3))) (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))
(* -1 (* l (- (* -1 (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))))
(* -1 (* l (- (* -1 (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))))
(* -1 (* l (- (* -1 (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))))))
(* -1 (* l (- (* -1 (/ (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))) (* -1 (/ (pow (PI) 2) (* (pow F 4) (+ (PI) (/ (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)) (* (pow F 2) (+ (* -1 (* l (PI))) (* l (PI)))))) (* l (PI))) (pow F 2))
(/ (- (* (pow F 2) (+ (* l (PI)) (* (pow F 2) (+ (* -1 (* l (PI))) (+ (* l (PI)) (* (pow F 2) (+ (* -1 (* l (PI))) (* 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 (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (* (pow (PI) 2) (+ (/ (* (PI) (- (/ (PI) (pow F 2)) (PI))) (pow F 2)) (pow (PI) 2)))) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(* (pow F 2) (* l (PI)))
(* (pow F 2) (+ (* -1 (* (pow F 2) (* l (PI)))) (* l (PI))))
(* (pow F 2) (+ (* l (PI)) (* (pow F 2) (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))))))
(* (pow F 2) (+ (* l (PI)) (* (pow F 2) (+ (* -1 (* l (PI))) (* (pow F 2) (+ (* -1 (* (pow F 2) (* l (PI)))) (* l (PI))))))))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (+ (* l (PI)) (/ (* l (PI)) (pow F 4))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (+ (* -1 (/ (* l (PI)) (pow F 6))) (+ (* l (PI)) (/ (* l (PI)) (pow F 4)))))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (+ (* l (PI)) (/ (* l (PI)) (pow F 4))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (+ (* -1 (/ (* l (PI)) (pow F 6))) (+ (* l (PI)) (/ (* l (PI)) (pow F 4)))))
(/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* l (pow (PI) 2)) (+ (/ (pow (PI) 3) (pow F 6)) (pow (PI) 3)))
(/ (* (pow F 6) l) (PI))
(* (pow F 6) (+ (* -1 (/ (* (pow F 6) l) (PI))) (/ l (PI))))
(* (pow F 6) (+ (* (pow F 6) (- (/ (* (pow F 6) l) (PI)) (/ l (PI)))) (/ l (PI))))
(* (pow F 6) (+ (* (pow F 6) (- (* (pow F 6) (- (* -1 (/ (* (pow F 6) l) (PI))) (* -1 (/ l (PI))))) (/ l (PI)))) (/ l (PI))))
(/ l (PI))
(+ (* -1 (/ l (* (pow F 6) (PI)))) (/ l (PI)))
(- (+ (/ l (PI)) (/ l (* (pow F 12) (PI)))) (/ l (* (pow F 6) (PI))))
(- (+ (* -1 (/ l (* (pow F 18) (PI)))) (/ l (PI))) (+ (* -1 (/ l (* (pow F 12) (PI)))) (/ l (* (pow F 6) (PI)))))
(/ l (PI))
(+ (* -1 (/ l (* (pow F 6) (PI)))) (/ l (PI)))
(- (+ (/ l (PI)) (/ l (* (pow F 12) (PI)))) (/ l (* (pow F 6) (PI))))
(- (+ (* -1 (/ l (* (pow F 18) (PI)))) (/ l (PI))) (+ (* -1 (/ l (* (pow F 12) (PI)))) (/ l (* (pow F 6) (PI)))))
(* l (pow (PI) 2))
(* l (pow (PI) 2))
(* l (pow (PI) 2))
(* l (pow (PI) 2))
(* l (pow (PI) 2))
(* l (pow (PI) 2))
(* l (pow (PI) 2))
(* l (pow (PI) 2))
(* l (pow (PI) 2))
(* l (pow (PI) 2))
(* l (pow (PI) 2))
(* l (pow (PI) 2))
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(* -1 (/ (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l))
(* -1 (/ (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l))
(* -1 (/ (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l))
(* -1 (/ (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l))
(/ F (* l (PI)))
(/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)
(/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)
(/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)
(* -1/3 (* F (* l (PI))))
(* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* -1/3 (* F (* l (PI))))
(* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))
(* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))
(* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ F (PI))
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (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))
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(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/ (* l (PI)) (pow F 2))
(/ (+ (* -1 (* (pow F 2) (* l (PI)))) (* l (PI))) (pow F 2))
(/ (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (* l (PI))) (* l (PI))))) (pow F 2))
(/ (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (- (* -1 (* (pow F 2) (* l (PI)))) (* -1 (* l (PI))))) (* l (PI))))) (pow F 2))
(/ (* l (PI)) (pow F 4))
(/ (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) (pow F 4))
(/ (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))) (pow F 4))
(/ (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))) (pow F 4))
(/ (* l (PI)) (pow F 4))
(/ (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) (pow F 4))
(/ (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))) (pow F 4))
(/ (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))) (pow F 4))
(* 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)))
Outputs
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))
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(* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* -1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F)) (/.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64))) (*.f64 l l)) (*.f64 F F)))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (+ (* -1/9 (/ (pow (PI) 5) (pow F 2))) (* -1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2)))))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64))) (*.f64 F F)) (*.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 l l)) F) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F)))))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI)))))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 3 binary64) (*.f64 F F)) (PI.f64)) (*.f64 l l))))
(* l (+ (PI) (+ (/ 3 (* (pow F 2) (* (pow l 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 4) (pow (PI) 3)))))))
(*.f64 l (+.f64 (PI.f64) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3 binary64) (*.f64 F F)) (PI.f64)) (*.f64 l l)) (/.f64 (/.f64 (/.f64 #s(literal 9 binary64) (*.f64 F F)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 l l) (*.f64 l l))))))
(* l (+ (PI) (+ (* 9 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 3))))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 5))))) (/ 3 (* (pow F 2) (* (pow l 2) (PI))))))))
(*.f64 l (+.f64 (PI.f64) (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3 binary64) (*.f64 F F)) (PI.f64)) (*.f64 l l)) (/.f64 (/.f64 (/.f64 #s(literal 9 binary64) (*.f64 F F)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 l l) (*.f64 l l)))) (/.f64 (/.f64 #s(literal 27 binary64) (*.f64 F (*.f64 F (pow.f64 l #s(literal 6 binary64))))) (pow.f64 (PI.f64) #s(literal 5 binary64))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (- (* -1 (PI)) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI))))))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 3 binary64) (*.f64 F F)) (PI.f64)) (*.f64 l l))))
(* -1 (* l (+ (* -1 (PI)) (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) (pow l 2))))))
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(/.f64 (-.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 (*.f64 F F) (*.f64 F F))))) (+.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) (*.f64 (PI.f64) (/.f64 l (pow.f64 F #s(literal 6 binary64)))))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (* l (PI)) (pow F 4))
(/.f64 (*.f64 l (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) (pow F 4))
(/.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))) (pow F 4))
(/.f64 (+.f64 (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (/.f64 (*.f64 l (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F)))) (*.f64 (*.f64 F F) (*.f64 F F)))
(/ (- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))) (pow F 4))
(/.f64 (-.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 (*.f64 F F) (*.f64 F F))))) (+.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) (*.f64 (PI.f64) (/.f64 l (pow.f64 F #s(literal 6 binary64)))))) (*.f64 (*.f64 F F) (*.f64 F F)))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (+ (* l (PI)) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (+.f64 (*.f64 F F) #s(literal 1 binary64)) (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(/ (+ (* l (PI)) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (+.f64 (*.f64 F F) #s(literal 1 binary64)) (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(/ (+ (* l (PI)) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (+.f64 (*.f64 F F) #s(literal 1 binary64)) (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* l (PI)) (/ (* l (PI)) (pow F 2)))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+ (* l (PI)) (/ (* l (PI)) (pow F 2)))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+ (* l (PI)) (/ (* l (PI)) (pow F 2)))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* l (PI)) (/ (* l (PI)) (pow F 2)))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+ (* l (PI)) (/ (* l (PI)) (pow F 2)))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+ (* l (PI)) (/ (* l (PI)) (pow F 2)))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))

eval450.0ms (2.5%)

Compiler

Compiled 139628 to 7919 computations (94.3% saved)

prune383.0ms (2.1%)

Pruning

31 alts after pruning (22 fresh and 9 done)

PrunedKeptTotal
New2697122709
Fresh11011
Picked325
Done077
Total2701312732
Accuracy
99.6%
Counts
2732 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.5%
(/.f64 (-.f64 #s(literal 0 binary64) l) (*.f64 F (*.f64 F (+.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
59.0%
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F))) l) (+.f64 (/.f64 (*.f64 (PI.f64) l) l) (/.f64 (PI.f64) (*.f64 F F))))
58.8%
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F))) l) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (PI.f64) l)) (/.f64 (PI.f64) (*.f64 F F))))
59.0%
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F))) l) (+.f64 (*.f64 l (/.f64 (PI.f64) l)) (/.f64 (PI.f64) (*.f64 F F))))
53.0%
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
15.2%
(/.f64 (*.f64 l (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (PI.f64))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
15.2%
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
40.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))))
77.4%
(/.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)))))
71.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
40.6%
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l 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))))))
57.2%
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
✓77.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
✓77.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
77.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 (PI.f64) l))))
✓82.8%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
75.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 F #s(literal -1/3 binary64))) (/.f64 F (*.f64 l (*.f64 l (PI.f64))))))))
48.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -3 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
✓77.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
72.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (/.f64 F (/.f64 (PI.f64) F))))
77.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (PI.f64)) (/.f64 F l))))
✓77.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
✓76.9%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
27.1%
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
57.3%
(*.f64 (/.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (/.f64 F (/.f64 (PI.f64) (*.f64 F F))))))
71.7%
(*.f64 l (-.f64 (*.f64 l (/.f64 (PI.f64) l)) (/.f64 (/.f64 (PI.f64) F) F)))
✓71.7%
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
✓71.7%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
43.7%
(*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 3 binary64) (*.f64 F F)) (PI.f64)) (*.f64 l l))))
72.4%
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓72.9%
(*.f64 l (PI.f64))
Compiler

Compiled 1647 to 565 computations (65.7% saved)

regimes109.0ms (0.6%)

Counts
53 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (/.f64 F (/.f64 (PI.f64) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(*.f64 l (-.f64 (*.f64 l (/.f64 (PI.f64) l)) (/.f64 (/.f64 (PI.f64) F) 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 #s(literal 1 binary64) (*.f64 (/.f64 F (PI.f64)) (/.f64 F l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -3 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 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 3 binary64) (*.f64 F F)) (PI.f64)) (*.f64 l l))))
(/.f64 (-.f64 #s(literal 0 binary64) l) (*.f64 F (*.f64 F (+.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(/.f64 (*.f64 l (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 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 #s(literal 1 binary64) F) (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 F #s(literal -1/3 binary64))) (/.f64 F (*.f64 l (*.f64 l (PI.f64))))))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (+.f64 (/.f64 F (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l F))))) l)))
(-.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 (/.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (/.f64 F (/.f64 (PI.f64) (*.f64 F F))))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F))) 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 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F))) l) (+.f64 (*.f64 l (/.f64 (PI.f64) l)) (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F))) l) (+.f64 (/.f64 (*.f64 (PI.f64) l) l) (/.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 #s(literal 1 binary64) (/.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F))) l) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (PI.f64) l)) (/.f64 (PI.f64) (*.f64 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) (PI.f64)) (*.f64 l 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 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 (/.f64 F l) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 l l))))) (-.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 l l))))))
(-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) l)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 F F) F) (*.f64 (*.f64 F F) 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 (*.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 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 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) F)) F))
(/.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 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(-.f64 (*.f64 (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:

22.0ms
(*.f64 (PI.f64) l)
18.0ms
F
17.0ms
l
15.0ms
(*.f64 F F)
14.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Results
AccuracySegmentsBranch
90.8%2F
99.2%2l
94.6%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
99.2%2(*.f64 (PI.f64) l)
88.4%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
88.4%1(*.f64 F F)
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes33.0ms (0.2%)

Counts
43 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (/.f64 F (/.f64 (PI.f64) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(*.f64 l (-.f64 (*.f64 l (/.f64 (PI.f64) l)) (/.f64 (/.f64 (PI.f64) F) 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 #s(literal 1 binary64) (*.f64 (/.f64 F (PI.f64)) (/.f64 F l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -3 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 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 3 binary64) (*.f64 F F)) (PI.f64)) (*.f64 l l))))
(/.f64 (-.f64 #s(literal 0 binary64) l) (*.f64 F (*.f64 F (+.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(/.f64 (*.f64 l (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 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 #s(literal 1 binary64) F) (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 F #s(literal -1/3 binary64))) (/.f64 F (*.f64 l (*.f64 l (PI.f64))))))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (+.f64 (/.f64 F (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l F))))) l)))
(-.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 (/.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (/.f64 F (/.f64 (PI.f64) (*.f64 F F))))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F))) 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 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F))) l) (+.f64 (*.f64 l (/.f64 (PI.f64) l)) (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F))) l) (+.f64 (/.f64 (*.f64 (PI.f64) l) l) (/.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 #s(literal 1 binary64) (/.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 F (/.f64 (PI.f64) F)) F))) l) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (PI.f64) l)) (/.f64 (PI.f64) (*.f64 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) (PI.f64)) (*.f64 l 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 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 (/.f64 F l) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 l l))))) (-.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 l l))))))
(-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) l)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 F F) F) (*.f64 (*.f64 F F) 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 (*.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 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:

18.0ms
(*.f64 (PI.f64) l)
12.0ms
l
Results
AccuracySegmentsBranch
98.6%2l
98.6%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes25.0ms (0.1%)

Counts
26 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (/.f64 F (/.f64 (PI.f64) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l (/.f64 F (PI.f64))) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(*.f64 l (-.f64 (*.f64 l (/.f64 (PI.f64) l)) (/.f64 (/.f64 (PI.f64) F) 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 #s(literal 1 binary64) (*.f64 (/.f64 F (PI.f64)) (/.f64 F l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -3 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 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal 3 binary64) (*.f64 F F)) (PI.f64)) (*.f64 l l))))
(/.f64 (-.f64 #s(literal 0 binary64) l) (*.f64 F (*.f64 F (+.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l l))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(/.f64 (*.f64 l (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 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 #s(literal 1 binary64) F) (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 F #s(literal -1/3 binary64))) (/.f64 F (*.f64 l (*.f64 l (PI.f64))))))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (+.f64 (/.f64 F (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l F))))) l)))
Outputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 l (PI.f64))
Calls

2 calls:

13.0ms
l
11.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
98.4%2l
98.4%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
Outputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (PI.f64))
Calls

1 calls:

2.0ms
l
Results
AccuracySegmentsBranch
92.6%2l
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
Outputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (PI.f64))
Calls

1 calls:

2.0ms
l
Results
AccuracySegmentsBranch
92.6%2l
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
Outputs
(*.f64 l (PI.f64))
Calls

2 calls:

1.0ms
F
1.0ms
l
Results
AccuracySegmentsBranch
72.9%1F
72.9%1l
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
7450938824928.905
207112042975877.1
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch3.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
889173990530.095
7450938824928.905
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
889173990530.095
7450938824928.905
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch15.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
283032871723.2215
2371707489325.507
Results
9.0ms87×0valid
2.0ms9×1valid
Compiler

Compiled 129 to 92 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-tan: 3.0ms (39.3% of total)
ival-mult: 2.0ms (26.2% of total)
ival-div: 1.0ms (13.1% of total)
ival-sub: 1.0ms (13.1% of total)
ival-pi: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch48.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
43.0ms
283032871723.2215
2371707489325.507
Results
35.0ms72×0valid
5.0ms24×1valid
Compiler

Compiled 129 to 92 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 9.0ms (58.5% of total)
ival-tan: 4.0ms (26% of total)
ival-pi: 1.0ms (6.5% of total)
ival-div: 1.0ms (6.5% of total)
ival-sub: 1.0ms (6.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify16.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
62×*-commutative_binary64
56×+-commutative_binary64
54×sub-neg_binary64
44×neg-sub0_binary64
44×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042108
169108
2108108
3143108
4172108
5189108
6203108
7213108
8224108
9236108
10245108
11249108
12250108
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 10000000000000 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 1000000000000 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 1000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 330000000000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 330000000000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
Outputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 10000000000000 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 10000000000000 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 1000000000000 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 1000000000000 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 1000000000000 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 1000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 (PI.f64) l))
(if (<=.f64 l #s(literal 330000000000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 330000000000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (PI.f64) l))
(if (<=.f64 l #s(literal 330000000000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 330000000000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

soundness2.6s (14.3%)

Rules
5744×*-lowering-*.f32
5744×*-lowering-*.f64
5466×*-lowering-*.f32
5466×*-lowering-*.f64
5186×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01492431
14702287
217552051
081352051
025106
1182105
21542105
09036105
01250
110049
266449
0848449
01984453
16524229
223003883
084583883
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
Compiler

Compiled 254 to 134 computations (47.2% saved)

preprocess146.0ms (0.8%)

Remove

(abs F)

Compiler

Compiled 528 to 234 computations (55.7% saved)

end0.0ms (0%)

Profiling

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