VandenBroeck and Keller, Equation (6)

Time bar (total: 18.4s)

analyze284.0ms (1.5%)

Algorithm
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: 113.0ms
ival-mult: 54.0ms (47.9% of total)
ival-div: 17.0ms (15.1% of total)
ival-tan: 14.0ms (12.4% of total)
ival-pi: 12.0ms (10.6% of total)
ival-sub: 12.0ms (10.6% of total)
const: 3.0ms (2.7% of total)
backward-pass: 1.0ms (0.9% of total)

sample4.4s (24.1%)

Results
3.5s3827×1valid
407.0ms4331×0valid
251.0ms98×2valid
2.0ms5exit
Precisions
Click to see histograms. Total time spent on operations: 3.6s
ival-tan: 2.9s (81.4% of total)
ival-mult: 328.0ms (9.2% of total)
ival-div: 102.0ms (2.8% of total)
ival-pi: 79.0ms (2.2% of total)
backward-pass: 78.0ms (2.2% of total)
ival-sub: 63.0ms (1.8% of total)
const: 14.0ms (0.4% of total)
Bogosity

preprocess461.0ms (2.5%)

Algorithm
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
02870
110360
230460
377960
4170760
5268660
6362060
7425760
8436960
9437760
01011
12910
26910
315710
427310
547710
671910
7100010
8144310
9224210
10242610
11251110
12252710
0252710
Stop Event
iter limit
saturated
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 (/ (fast-tan (* (PI) l)) (square F)))
(- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l))))
(fmsub (PI) l (/ (fast-tan (* (PI) l)) (square F)))
(- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l)))))
(fnmadd (PI) l (/ (fast-tan (* (PI) l)) (square F)))
(neg (- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l)))))
(fnmadd (PI) l (/ (fast-tan (* (PI) l)) (square F)))
(neg (- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l))))))
(fmsub (PI) l (/ (fast-tan (* (PI) l)) (square F)))
(- (* (PI) F) (* (/ 1 (* l l)) (tan (* (PI) F))))
(fmsub (PI) F (/ (fast-tan (* (PI) F)) (square l)))
Symmetry

(abs F)

(negabs l)

explain535.0ms (2.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1320-1(4.761137866202698e+224 7.900340911795797e+307)(tan.f64 (*.f64 (PI.f64) l))
520-0-(*.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
179.0ms84×2valid
150.0ms154×1valid
74.0ms20×3valid
36.0ms254×0valid
Compiler

Compiled 108 to 32 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 364.0ms
ival-tan: 315.0ms (86.5% of total)
ival-mult: 20.0ms (5.5% of total)
backward-pass: 12.0ms (3.3% of total)
ival-div: 7.0ms (1.9% of total)
ival-pi: 5.0ms (1.4% of total)
ival-sub: 5.0ms (1.4% 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
73.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
72.6%
(-.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)

simplify66.0ms (0.4%)

Algorithm
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-diff0
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
cost-diff128
(*.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
01266
13762
28062
316762
428362
549362
677862
7105662
8146362
9237762
10256062
11264562
12266162
0266162
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(* (PI) l)
(PI)
l
(* (/ 1 (* F F)) (tan (* (PI) l)))
(/ 1 (* F F))
1
(* F F)
F
(tan (* (PI) l))
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))
(* (PI) l)
(PI)
l
(/ (tan (* (PI) l)) (* F F))
(tan (* (PI) l))
(* F F)
F
Outputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(* (/ 1 (* F F)) (tan (* (PI) l)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/ 1 (* F F))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
1
#s(literal 1 binary64)
(* F F)
(*.f64 F F)
F
(tan (* (PI) l))
(tan.f64 (*.f64 (PI.f64) l))
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (tan (* (PI) l)) (* F F))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(tan (* (PI) l))
(tan.f64 (*.f64 (PI.f64) l))
(* F F)
(*.f64 F F)
F

localize246.0ms (1.3%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(PI.f64)
accuracy99.6%
(*.f64 (PI.f64) l)
accuracy81.6%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
accuracy51.0%
(tan.f64 (*.f64 (PI.f64) l))
accuracy99.6%
(*.f64 (PI.f64) l)
accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 F F))
accuracy80.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
accuracy51.0%
(tan.f64 (*.f64 (PI.f64) l))
Results
87.0ms77×1valid
77.0ms42×2valid
38.0ms10×3valid
22.0ms127×0valid
Compiler

Compiled 79 to 13 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 169.0ms
ival-tan: 136.0ms (80.7% of total)
ival-mult: 13.0ms (7.7% of total)
backward-pass: 7.0ms (4.2% of total)
ival-div: 6.0ms (3.6% of total)
ival-sub: 4.0ms (2.4% of total)
ival-pi: 2.0ms (1.2% of total)
const: 1.0ms (0.6% of total)

series15.0ms (0.1%)

Counts
8 → 132
Calls
Call 1
Inputs
#<alt (* (/ 1 (* F F)) (tan (* (PI) l)))>
#<alt (- (* (PI) l) (* (/ 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 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (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) (/ (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
3.0ms
F
@0
(* (/ 1 (* F F)) (tan (* (PI) l)))
2.0ms
l
@inf
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))
2.0ms
l
@0
(* (/ 1 (* F F)) (tan (* (PI) l)))
2.0ms
l
@inf
(* (/ 1 (* F F)) (tan (* (PI) l)))
1.0ms
l
@-inf
(* (/ 1 (* F F)) (tan (* (PI) l)))

rewrite337.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
5116×*-lowering-*.f32
5116×*-lowering-*.f64
2786×/-lowering-/.f32
2786×/-lowering-/.f64
1334×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
110345
268345
0858845
Stop Event
iter limit
node limit
Counts
8 → 526
Calls
Call 1
Inputs
(* (/ 1 (* F F)) (tan (* (PI) l)))
(- (* (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
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 F (-.f64 #s(literal 0 binary64) F))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F))))
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 F (-.f64 #s(literal 0 binary64) F)) (cos.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (/.f64 #s(literal 1 binary64) F) (sin.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F))) (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (sin.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F (-.f64 #s(literal 0 binary64) F)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 F (-.f64 #s(literal 0 binary64) F)) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 (-.f64 #s(literal 0 binary64) F)))
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 F (-.f64 #s(literal 0 binary64) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (sin.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) F)
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (*.f64 (*.f64 F (-.f64 #s(literal 0 binary64) F)) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64))) (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)) (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) F))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (*.f64 F F))
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) F))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 (*.f64 F (-.f64 #s(literal 0 binary64) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64))) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))) (-.f64 #s(literal 0 binary64) F))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (cos.f64 (*.f64 (PI.f64) l)))
(pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)))
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l)))))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 F F))))
(*.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
(*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F (-.f64 #s(literal 0 binary64) F)) (cos.f64 (*.f64 (PI.f64) l)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F)))))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) F))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F)))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal -1 binary64) F))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) F))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(*.f64 (pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F))))
(+.f64 (*.f64 (PI.f64) l) (+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) 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 F (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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)))))
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (-.f64 #s(literal 0 binary64) F)))))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) F))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F)))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal -1 binary64) F))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) F))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(*.f64 (pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(tan.f64 (*.f64 (PI.f64) l))
(neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 F)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 F))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/.f64 #s(literal -1 binary64) (*.f64 F (-.f64 #s(literal 0 binary64) F)))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (-.f64 #s(literal 0 binary64) F)))
(/.f64 (/.f64 #s(literal -1 binary64) F) (-.f64 #s(literal 0 binary64) F))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)) F)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) F))
(pow.f64 F #s(literal -2 binary64))
(pow.f64 (*.f64 F F) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 F F) (*.f64 F F)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F))
(*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 #s(literal -1 binary64) F))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) F))

simplify374.0ms (2%)

Algorithm
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
14732071
217611867
081471867
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (PI))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ 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
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(* -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 (sin.f64 (*.f64 l (PI.f64))) (*.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 (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 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) (*.f64 F F)) (/.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))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (*.f64 F F))) (*.f64 (*.f64 l l) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (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 (PI.f64) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (*.f64 F F))) (*.f64 (*.f64 l l) (+.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (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 (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)) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F)) #s(literal 1/72 binary64))) (*.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 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 l l) (+.f64 (-.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))))))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/ 1 (pow F 2))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)

eval212.0ms (1.2%)

Compiler

Compiled 25437 to 1626 computations (93.6% saved)

prune251.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New95912971
Fresh000
Picked202
Done000
Total96112973
Accuracy
99.9%
Counts
973 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.5%
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
72.8%
(-.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
72.7%
(-.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
79.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
72.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
79.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
48.3%
(-.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)))
66.9%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
79.5%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F)))
66.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
66.8%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
71.7%
(*.f64 l (PI.f64))
Compiler

Compiled 414 to 250 computations (39.6% saved)

simplify228.0ms (1.2%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
cost-diff0
(/.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))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff128
(-.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)))
cost-diff0
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff128
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.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
3252×*-lowering-*.f32
3252×*-lowering-*.f64
1880×sum3-define
1794×fma-lowering-fma.f32
1794×fma-lowering-fma.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027183
189177
2250177
3695175
41643174
54276174
08063174
Stop Event
iter limit
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 F)
F
(- (* (PI) l) (/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F)))
(* (PI) l)
(PI)
l
(/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F))
(* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))))
(+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))
(* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
(* 1/3 (* l l))
1/3
(* l l)
(* F F)
F
(- (* (PI) l) (/ (/ 1 F) (/ F (tan (* (PI) l)))))
(* (PI) l)
(PI)
l
(/ (/ 1 F) (/ F (tan (* (PI) l))))
(/ 1 F)
1
F
(/ F (tan (* (PI) l)))
(tan (* (PI) l))
Outputs
(- (* (PI) l) (/ (/ (tan (* (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 (/.f64 l F) F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (* l (PI)) (* F F))
(/.f64 (*.f64 (PI.f64) l) (*.f64 F F))
(* l (PI))
(*.f64 (PI.f64) l)
(* F F)
(*.f64 F F)
F
(- (* (PI) l) (/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F)))
(*.f64 (PI.f64) (-.f64 l (*.f64 (/.f64 (/.f64 l F) F) (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) (*.f64 l #s(literal 1/3 binary64)))))))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F))
(*.f64 (PI.f64) (*.f64 (/.f64 (/.f64 l F) F) (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) (*.f64 l #s(literal 1/3 binary64))))))))
(* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))))
(*.f64 (PI.f64) (*.f64 l (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) (*.f64 l #s(literal 1/3 binary64))))))))
(+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))
(*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) (*.f64 l #s(literal 1/3 binary64)))))))
(* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))
(*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l #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 (* l l))
(*.f64 l (*.f64 l #s(literal 1/3 binary64)))
1/3
#s(literal 1/3 binary64)
(* l l)
(*.f64 l l)
(* F F)
(*.f64 F F)
F
(- (* (PI) l) (/ (/ 1 F) (/ F (tan (* (PI) l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ 1 F) (/ F (tan (* (PI) l))))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/ 1 F)
(/.f64 #s(literal 1 binary64) F)
1
#s(literal 1 binary64)
F
(/ F (tan (* (PI) l)))
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
(tan (* (PI) l))
(tan.f64 (*.f64 (PI.f64) l))

localize3.3s (18.1%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
accuracy99.8%
(*.f64 (PI.f64) l)
accuracy99.5%
(tan.f64 (*.f64 (PI.f64) l))
accuracy51.6%
(PI.f64)
accuracy99.8%
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))))
accuracy99.2%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
accuracy93.6%
(/.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))
accuracy51.6%
(PI.f64)
accuracy99.8%
(*.f64 (PI.f64) l)
accuracy99.8%
(*.f64 l (PI.f64))
accuracy93.6%
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
accuracy51.6%
(PI.f64)
accuracy99.8%
(*.f64 l (PI.f64))
accuracy51.6%
(PI.f64)
accuracy99.8%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
accuracy99.8%
(*.f64 (PI.f64) l)
accuracy99.5%
(tan.f64 (*.f64 (PI.f64) l))
accuracy51.6%
(PI.f64)
Results
3.2s128×5exit
56.0ms127×0valid
1.0ms1valid
Compiler

Compiled 225 to 28 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.9s
ival-tan: 2.8s (94.3% of total)
backward-pass: 53.0ms (1.8% of total)
ival-div: 47.0ms (1.6% of total)
ival-mult: 36.0ms (1.2% of total)
ival-sub: 16.0ms (0.5% of total)
...c/correct-round.rkt:119:19: 7.0ms (0.2% of total)
ival-pi: 5.0ms (0.2% of total)
ival-add: 4.0ms (0.1% of total)
const: 1.0ms (0% of total)

series68.0ms (0.4%)

Counts
16 → 288
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) (/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F)))>
#<alt (/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F))>
#<alt (/ (/ 1 F) (/ F (tan (* (PI) l))))>
#<alt (- (* (PI) l) (/ (/ 1 F) (/ F (tan (* (PI) l)))))>
#<alt (tan (* (PI) l))>
#<alt (/ (tan (* (PI) l)) F)>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))))>
#<alt (/ F (tan (* (PI) l)))>
Outputs
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<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) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))>
#<alt (* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))>
#<alt (* (pow l 3) (- (/ (PI) (pow l 2)) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))))>
#<alt (* (pow l 3) (- (/ (PI) (pow l 2)) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))))>
#<alt (* (pow l 3) (- (/ (PI) (pow l 2)) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))))>
#<alt (* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))>
#<alt (* -1 (* (pow l 3) (- (* -1 (/ (PI) (pow l 2))) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2)))))))>
#<alt (* -1 (* (pow l 3) (- (* -1 (/ (PI) (pow l 2))) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2)))))))>
#<alt (* -1 (* (pow l 3) (- (* -1 (/ (PI) (pow l 2))) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2)))))))>
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI)))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2))))>
#<alt (* 1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))>
#<alt (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))>
#<alt (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))>
#<alt (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))>
#<alt (* 1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))>
#<alt (* -1 (* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))))>
#<alt (* -1 (* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))))>
#<alt (* -1 (* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))))>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (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) (* (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 (* l (PI))>
#<alt (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))>
#<alt (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))>
#<alt (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))>
#<alt (* 1/3 (* (pow l 3) (pow (PI) 3)))>
#<alt (* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))>
#<alt (* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))>
#<alt (* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))>
#<alt (* 1/3 (* (pow l 3) (pow (PI) 3)))>
#<alt (* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3)))))>
#<alt (* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3)))))>
#<alt (* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3)))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ F (* l (PI)))>
#<alt (/ (+ (* -1 (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ F (PI))) l)>
#<alt (/ (+ (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)>
#<alt (/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (pow (PI) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))) (/ (* F (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))))) (pow (PI) 2)))))) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
Calls

72 calls:

TimeVariablePointExpression
44.0ms
l
@-inf
(* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))))
2.0ms
l
@inf
(- (* (PI) l) (/ (* l (PI)) (* F F)))
1.0ms
l
@0
(/ F (tan (* (PI) l)))
1.0ms
l
@0
(- (* (PI) l) (/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F)))
1.0ms
F
@0
(- (* (PI) l) (/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F)))

rewrite391.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
6026×*-lowering-*.f32
6026×*-lowering-*.f64
3340×/-lowering-/.f32
3340×/-lowering-/.f64
2328×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027120
1207115
22078115
09852115
Stop Event
iter limit
node limit
Counts
16 → 471
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) (/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F)))
(/ (* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))) (* F F))
(/ (/ 1 F) (/ F (tan (* (PI) l))))
(- (* (PI) l) (/ (/ 1 F) (/ F (tan (* (PI) l)))))
(tan (* (PI) l))
(/ (tan (* (PI) l)) F)
(* (PI) (* (PI) (PI)))
(* l (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))))
(/ F (tan (* (PI) l)))
Outputs
(+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 F F))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))) (+.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 3 binary64)) (+.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(fma.f64 l (PI.f64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(fma.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (*.f64 (PI.f64) l))
(fma.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
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(cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))
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(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))
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(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
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(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))
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(+.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))) (*.f64 (PI.f64) l))
(fma.f64 (PI.f64) l (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))))
(fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) l) (*.f64 (PI.f64) l))
(fma.f64 l (PI.f64) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))))
(fma.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l (*.f64 l #s(literal 1/3 binary64))) l) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 l (*.f64 l #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) l) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) l (*.f64 (PI.f64) l))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))))
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 l (*.f64 l l)) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))))
(fma.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))))
(fma.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))))
(fma.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 l (*.f64 l #s(literal 1/3 binary64))) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 l (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 l l) (*.f64 (PI.f64) l))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 l l) (*.f64 l l))) #s(literal 1/27 binary64))) (*.f64 l (*.f64 l l)))) (+.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))))) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))))) (-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))))))
(/.f64 (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 l l) (*.f64 l l))) #s(literal 1/27 binary64))))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) (PI.f64)))))
(/.f64 (*.f64 l (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))))) (-.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 l l) (*.f64 l l))) #s(literal 1/27 binary64)))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) (PI.f64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64)))))) l) (-.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))))
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))))
(*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))) l)
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) F) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (-.f64 #s(literal 0 binary64) F) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) F))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) F)) (neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal -1 binary64))
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 F (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
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(*.f64 (-.f64 #s(literal 0 binary64) F) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) F))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))) (pow.f64 (/.f64 #s(literal -1 binary64) F) #s(literal -1 binary64)))
(*.f64 (/.f64 F (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) F) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)) #s(literal -1 binary64)) F)

simplify342.0ms (1.9%)

Algorithm
egg-herbie
Rules
5548×*-lowering-*.f32
5548×*-lowering-*.f64
1416×cancel-sign-sub-inv
1386×+-lowering-+.f64
1386×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02894815
19754202
238734075
085744075
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
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(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
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(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))))
(* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))))
(* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))))
(* 1/3 (* (pow l 3) (pow (PI) 3)))
(*.f64 (*.f64 l l) (*.f64 l (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))))
(* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))
(*.f64 (*.f64 l l) (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (PI.f64) (*.f64 l l)))))
(* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))
(*.f64 (*.f64 l l) (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (PI.f64) (*.f64 l l)))))
(* (pow l 3) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))
(*.f64 (*.f64 l l) (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (PI.f64) (*.f64 l l)))))
(* 1/3 (* (pow l 3) (pow (PI) 3)))
(*.f64 (*.f64 l l) (*.f64 l (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))))
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3)))))
(*.f64 (*.f64 l l) (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (PI.f64) (*.f64 l l)))))
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3)))))
(*.f64 (*.f64 l l) (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (PI.f64) (*.f64 l l)))))
(* -1 (* (pow l 3) (+ (* -1 (/ (PI) (pow l 2))) (* -1/3 (pow (PI) 3)))))
(*.f64 (*.f64 l l) (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (PI.f64) (*.f64 l l)))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ (+ (* -1 (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ F (PI))) l)
(/.f64 (-.f64 (/.f64 F (PI.f64)) (/.f64 (*.f64 (*.f64 (*.f64 F (*.f64 l l)) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (PI.f64)))) l)
(/ (+ (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)
(/.f64 (+.f64 (/.f64 F (PI.f64)) (*.f64 l (*.f64 l (+.f64 (*.f64 (*.f64 l l) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64)) (/.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (/.f64 F (*.f64 (PI.f64) (PI.f64)))))) (*.f64 F (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))))))))) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (pow (PI) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))) (/ (* F (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))))) (pow (PI) 2)))))) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)
(/.f64 (+.f64 (/.f64 F (PI.f64)) (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 l l) (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64)) (/.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (/.f64 F (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 l l) (+.f64 (*.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/5040 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 F (*.f64 (PI.f64) (PI.f64)))) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) (PI.f64)) (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (-.f64 (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))) (/.f64 F (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/9 binary64)) (/.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (PI.f64))))))))) (*.f64 F (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64)))))))) l)
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))

eval186.0ms (1%)

Compiler

Compiled 32861 to 3303 computations (89.9% saved)

prune149.0ms (0.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1414111425
Fresh527
Picked415
Done000
Total1423141437
Accuracy
100.0%
Counts
1437 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.1%
(/.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
16.1%
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
35.8%
(-.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 (*.f64 F F) (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
72.7%
(-.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
73.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))
73.2%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F)))
73.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
67.3%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
23.0%
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) (/.f64 l (*.f64 F F))))
36.0%
(*.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))))))
21.6%
(*.f64 (*.f64 l (*.f64 l l)) (+.f64 (-.f64 (/.f64 (PI.f64) (*.f64 l l)) (/.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 F F))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal -1/3 binary64) (*.f64 F F)))))
66.8%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
71.2%
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
71.7%
(*.f64 l (PI.f64))
Compiler

Compiled 555 to 292 computations (47.4% saved)

simplify277.0ms (1.5%)

Algorithm
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 (*.f64 F F) (*.f64 (PI.f64) l))) (*.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-diff768
(-.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 (*.f64 F F) (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
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 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
cost-diff1280
(/.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
cost-diff0
(/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff128
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l 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
4862×*-lowering-*.f32
4862×*-lowering-*.f64
2468×/-lowering-/.f32
2468×/-lowering-/.f64
1684×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028289
1102280
2421249
32324240
46942240
08385240
Stop Event
iter limit
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))
(/ l F)
F
(/ (* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F))))) (* l (+ (PI) (/ (PI) (* F F)))))
(* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F)))))
(* l (+ (PI) (/ (PI) (* F F))))
l
(+ (PI) (/ (PI) (* F F)))
(PI)
(/ (PI) (* F F))
(* F F)
F
(* l (- (PI) (/ (PI) (* F F))))
(- (PI) (/ (PI) (* F F)))
(- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* 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 F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F)))))
(/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l)))
(/ (/ (* (PI) l) F) F)
(/ (* (PI) l) F)
(/ (* F F) (* (PI) l))
Outputs
(- (* (PI) l) (* (/ (PI) F) (/ l F)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(* (/ (PI) F) (/ l F))
(/.f64 (PI.f64) (/.f64 (*.f64 F F) l))
(/ (PI) F)
(/.f64 (PI.f64) F)
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))
(* F F)
(*.f64 F F)
F
(- (* (PI) l) (/ (* (/ l F) (PI)) F))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (* (/ l F) (PI)) F)
(/.f64 (PI.f64) (/.f64 (*.f64 F F) l))
(* (/ l F) (PI))
(/.f64 (*.f64 (PI.f64) l) F)
(/ l F)
(/.f64 l F)
F
(/ (* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F))))) (* l (+ (PI) (/ (PI) (* F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F)))))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 l (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F 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))
(* F F)
(*.f64 F F)
F
(* 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)))
(- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))))
(*.f64 (/.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) (*.f64 F (*.f64 F F))))))
(/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F)))))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) l)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.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 l (*.f64 F F))))
(+ (PI) (/ (PI) (* F F)))
(+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(/ (PI) (* F F))
(/.f64 (PI.f64) (*.f64 F F))
(* F F)
(*.f64 F F)
F
(/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F)))))
(/.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 F F) (PI.f64)) (*.f64 F F))) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l)))
(/.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 F F) (/.f64 (/.f64 (*.f64 F F) l) (PI.f64))))
(/ (/ (* (PI) l) F) F)
(/.f64 (PI.f64) (/.f64 (*.f64 F F) l))
(/ (* (PI) l) F)
(/.f64 (*.f64 (PI.f64) l) F)
(/ (* F F) (* (PI) l))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))

localize177.0ms (1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy92.8%
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
accuracy87.0%
(/.f64 (*.f64 F F) (*.f64 (PI.f64) l))
accuracy64.5%
(/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
accuracy61.9%
(/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F) (/.f64 (*.f64 F F) (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
accuracy99.2%
(/.f64 (PI.f64) (*.f64 F F))
accuracy92.8%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
accuracy92.8%
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
accuracy40.1%
(/.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
accuracy100.0%
(PI.f64)
accuracy99.8%
(/.f64 (*.f64 (/.f64 l F) (PI.f64)) F)
accuracy99.6%
(*.f64 (PI.f64) l)
accuracy99.6%
(*.f64 (/.f64 l F) (PI.f64))
accuracy100.0%
(PI.f64)
accuracy100.0%
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
accuracy99.2%
(/.f64 (PI.f64) (*.f64 F F))
accuracy92.8%
(*.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))
accuracy99.7%
(/.f64 (PI.f64) F)
accuracy99.6%
(*.f64 (PI.f64) l)
Results
115.0ms256×0valid
Compiler

Compiled 344 to 29 computations (91.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-div: 18.0ms (44.2% of total)
ival-mult: 15.0ms (36.8% of total)
ival-sub: 4.0ms (9.8% of total)
ival-pi: 1.0ms (2.5% of total)
ival-add: 1.0ms (2.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series28.0ms (0.2%)

Counts
20 → 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 (/ (* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F))))) (* l (+ (PI) (/ (PI) (* F F)))))>
#<alt (* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F)))))>
#<alt (* l (+ (PI) (/ (PI) (* F F))))>
#<alt (+ (PI) (/ (PI) (* F F)))>
#<alt (- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))))>
#<alt (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F)))))>
#<alt (/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F)))))>
#<alt (* (PI) (* l (* (PI) l)))>
#<alt (/ (PI) F)>
#<alt (* (/ l F) (PI))>
#<alt (/ (* F F) (* (PI) l))>
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)))>
#<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) (/ (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 (* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2)))))>
#<alt (* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2)))))>
#<alt (* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2)))))>
#<alt (* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2)))))>
#<alt (* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2)))))>
#<alt (* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2)))))>
#<alt (* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2)))))>
#<alt (* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2)))))>
#<alt (* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2)))))>
#<alt (* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2)))))>
#<alt (* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2)))))>
#<alt (* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2)))))>
#<alt (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4)))>
#<alt (/ (+ (* -1 (* (pow l 2) (pow (PI) 2))) (* (pow F 2) (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))))) (pow F 4))>
#<alt (/ (+ (* -1 (* (pow l 2) (pow (PI) 2))) (* (pow F 2) (+ (* (pow F 2) (* (pow l 2) (pow (PI) 2))) (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))) (pow F 4))>
#<alt (/ (+ (* -1 (* (pow l 2) (pow (PI) 2))) (* (pow F 2) (+ (* (pow F 2) (* (pow l 2) (pow (PI) 2))) (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2)))))) (pow F 4))>
#<alt (* (pow l 2) (pow (PI) 2))>
#<alt (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (pow F 2)))>
#<alt (+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (pow F 2))))>
#<alt (+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (pow F 2))))>
#<alt (* (pow l 2) (pow (PI) 2))>
#<alt (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (pow F 2)))>
#<alt (+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (pow F 2))))>
#<alt (+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (+ (* (pow l 2) (pow (PI) 2)) (/ (* (pow l 2) (+ (* -1 (pow (PI) 2)) (pow (PI) 2))) (pow F 2))))>
#<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)))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (+ (PI) (* (pow F 2) (PI))) (pow F 2))>
#<alt (/ (+ (PI) (* (pow F 2) (PI))) (pow F 2))>
#<alt (/ (+ (PI) (* (pow F 2) (PI))) (pow F 2))>
#<alt (PI)>
#<alt (+ (PI) (/ (PI) (pow F 2)))>
#<alt (+ (PI) (/ (PI) (pow F 2)))>
#<alt (+ (PI) (/ (PI) (pow F 2)))>
#<alt (PI)>
#<alt (+ (PI) (/ (PI) (pow F 2)))>
#<alt (+ (PI) (/ (PI) (pow F 2)))>
#<alt (+ (PI) (/ (PI) (pow F 2)))>
#<alt (* 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 (/ (* 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 (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
#<alt (/ (pow F 2) (* l (PI)))>
Calls

96 calls:

TimeVariablePointExpression
5.0ms
l
@0
(* l (+ (PI) (/ (PI) (* F F))))
2.0ms
l
@0
(- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))))
1.0ms
l
@inf
(- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))))
1.0ms
l
@-inf
(- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))))
1.0ms
F
@0
(- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))))

rewrite416.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
3650×*-lowering-*.f32
3650×*-lowering-*.f64
2548×/-lowering-/.f32
2548×/-lowering-/.f64
2396×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028177
1250146
22795146
08139146
Stop Event
iter limit
node limit
Counts
20 → 1078
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)
(/ (* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F))))) (* l (+ (PI) (/ (PI) (* F F)))))
(* (* l (+ (PI) (/ (PI) (* F F)))) (* l (- (PI) (/ (PI) (* F F)))))
(* l (+ (PI) (/ (PI) (* F F))))
(+ (PI) (/ (PI) (* F F)))
(- (/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))) (/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F))))))
(/ (* (PI) (* l (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F)))))
(/ (/ (/ (/ (* (PI) l) F) F) (/ (* F F) (* (PI) l))) (* l (+ (PI) (/ (PI) (* F F)))))
(* (PI) (* l (* (PI) l)))
(/ (PI) F)
(* (/ l F) (PI))
(/ (* F F) (* (PI) l))
Outputs
(+.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(+.f64 (*.f64 (PI.f64) l) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 l F)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (*.f64 (/.f64 l F) (/.f64 #s(literal 1 binary64) F)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) l) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 l (*.f64 F F)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) l) F))) (-.f64 #s(literal 0 binary64) F))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) l) F))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) F)) #s(literal -1 binary64)))
(*.f64 (/.f64 F (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) F))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (/.f64 F (*.f64 (PI.f64) l)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 F F))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) l))))

simplify266.0ms (1.4%)

Algorithm
egg-herbie
Rules
3796×*-lowering-*.f32
3796×*-lowering-*.f64
1448×fma-define
1182×sum3-define
1156×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01143741
13873174
213462995
365252988
081902988
Stop Event
iter limit
node limit
Counts
384 → 384
Calls
Call 1
Inputs
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(* l (- (PI) (/ (PI) (pow F 2))))
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(* -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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(* (pow l 2) (* (+ (PI) (/ (PI) (pow F 2))) (- (PI) (/ (PI) (pow F 2)))))
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(/ (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)
(/ (pow F 2) (* l (PI)))
(/ (pow F 2) (* l (PI)))
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(/ (pow F 2) (* l (PI)))
(/ (pow F 2) (* l (PI)))
(/ (pow F 2) (* l (PI)))
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(/ (pow F 2) (* l (PI)))
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(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
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(PI)
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(PI)
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(*.f64 l (+.f64 (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F)))))
(- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))))
(+.f64 (*.f64 (*.f64 l (PI.f64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 F #s(literal 6 binary64))))) (*.f64 (PI.f64) (-.f64 (/.f64 l (*.f64 F (*.f64 F (*.f64 F F)))) (/.f64 l (*.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2)))
(*.f64 l (+.f64 (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F)))))
(- (+ (* -1 (/ (* l (PI)) (pow F 6))) (* l (PI))) (+ (* -1 (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))))
(+.f64 (*.f64 (*.f64 l (PI.f64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 F #s(literal 6 binary64))))) (*.f64 (PI.f64) (-.f64 (/.f64 l (*.f64 F (*.f64 F (*.f64 F F)))) (/.f64 l (*.f64 F F)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/.f64 (*.f64 l (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/.f64 (*.f64 l (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/.f64 (*.f64 l (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/.f64 (*.f64 l (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/.f64 (*.f64 l (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/.f64 (*.f64 l (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/.f64 (*.f64 l (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/.f64 (*.f64 l (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/.f64 (*.f64 l (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/.f64 (*.f64 l (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/.f64 (*.f64 l (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F)))))
(/ (* l (pow (PI) 2)) (* (pow F 4) (+ (PI) (/ (PI) (pow F 2)))))
(/.f64 (*.f64 l (*.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 F (*.f64 F (*.f64 F F)))))
(/ (* l (PI)) (pow F 2))
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)
(/ (+ (* -1 (* (pow F 2) (* l (PI)))) (* l (PI))) (pow F 2))
(*.f64 l (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))))
(/ (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (* l (PI))) (* l (PI))))) (pow F 2))
(/.f64 (*.f64 (*.f64 l (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) (+.f64 (*.f64 F F) #s(literal -1 binary64))))) (*.f64 F F))
(/ (+ (* l (PI)) (* (pow F 2) (- (* (pow F 2) (- (* -1 (* (pow F 2) (* l (PI)))) (* -1 (* l (PI))))) (* l (PI))))) (pow F 2))
(/.f64 (+.f64 (*.f64 l (PI.f64)) (*.f64 (*.f64 F F) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 l (PI.f64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) (+.f64 (*.f64 F F) #s(literal -1 binary64)))))))) (*.f64 F F))
(/ (* l (PI)) (pow F 4))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F))))
(/ (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) (pow F 4))
(/.f64 (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 F (*.f64 F (*.f64 F F))))
(/ (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))) (pow F 4))
(/.f64 (*.f64 l (+.f64 (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))))) (*.f64 F (*.f64 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 (*.f64 l (PI.f64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 F #s(literal 6 binary64))))) (*.f64 (PI.f64) (-.f64 (/.f64 l (*.f64 F (*.f64 F (*.f64 F F)))) (/.f64 l (*.f64 F F))))) (*.f64 F (*.f64 F (*.f64 F F))))
(/ (* l (PI)) (pow F 4))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F))))
(/ (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI))) (pow F 4))
(/.f64 (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 F (*.f64 F (*.f64 F F))))
(/ (- (+ (* l (PI)) (/ (* l (PI)) (pow F 4))) (/ (* l (PI)) (pow F 2))) (pow F 4))
(/.f64 (*.f64 l (+.f64 (/.f64 (PI.f64) (*.f64 F (*.f64 F (*.f64 F F)))) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))))) (*.f64 F (*.f64 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 (*.f64 l (PI.f64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 F #s(literal 6 binary64))))) (*.f64 (PI.f64) (-.f64 (/.f64 l (*.f64 F (*.f64 F (*.f64 F F)))) (/.f64 l (*.f64 F F))))) (*.f64 F (*.f64 F (*.f64 F F))))
(* (pow l 2) (pow (PI) 2))
(*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64))))
(* (pow l 2) (pow (PI) 2))
(*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64))))
(* (pow l 2) (pow (PI) 2))
(*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64))))
(* (pow l 2) (pow (PI) 2))
(*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64))))
(* (pow l 2) (pow (PI) 2))
(*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64))))
(* (pow l 2) (pow (PI) 2))
(*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64))))
(* (pow l 2) (pow (PI) 2))
(*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64))))
(* (pow l 2) (pow (PI) 2))
(*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64))))
(* (pow l 2) (pow (PI) 2))
(*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64))))
(* (pow l 2) (pow (PI) 2))
(*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64))))
(* (pow l 2) (pow (PI) 2))
(*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64))))
(* (pow l 2) (pow (PI) 2))
(*.f64 l (*.f64 l (*.f64 (PI.f64) (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)
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))
(/ (pow F 2) (* l (PI)))
(/.f64 (/.f64 (*.f64 F F) l) (PI.f64))

eval412.0ms (2.2%)

Compiler

Compiled 114944 to 5273 computations (95.4% saved)

prune296.0ms (1.6%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New2979102989
Fresh538
Picked415
Done011
Total2988153003
Accuracy
100.0%
Counts
3003 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.8%
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 (*.f64 F F) (PI.f64)) F)))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
51.9%
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 (*.f64 F F) (PI.f64)) F))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
28.9%
(/.f64 (*.f64 (*.f64 l l) (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
27.7%
(/.f64 (*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64)))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
16.1%
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
54.4%
(-.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 l (PI.f64)) F) F))
73.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
73.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
29.3%
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
23.0%
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) (/.f64 l (*.f64 F F))))
66.8%
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
66.8%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
66.8%
(*.f64 l (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))))
71.2%
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
71.7%
(*.f64 l (PI.f64))
Compiler

Compiled 524 to 299 computations (42.9% saved)

simplify198.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 l l)
cost-diff0
(*.f64 (*.f64 l l) (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F))))))
cost-diff128
(-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))))
cost-diff768
(/.f64 (*.f64 (*.f64 l l) (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
cost-diff0
(PI.f64)
cost-diff0
(+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))
cost-diff0
(*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) (/.f64 l (*.f64 F F)))
cost-diff128
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) (/.f64 l (*.f64 F F))))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 l (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))))
cost-diff128
(*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F)))
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
(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff128
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
Rules
5036×*-lowering-*.f32
5036×*-lowering-*.f64
1650×/-lowering-/.f32
1650×/-lowering-/.f64
1154×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040247
1121231
2383224
31427223
45096218
08169218
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (* (PI) l) (/ (/ l F) (/ F (PI))))
(* (PI) l)
(PI)
l
(/ (/ l F) (/ F (PI)))
(/ l F)
F
(/ F (PI))
(* l (- (PI) (/ (/ (PI) F) F)))
l
(- (PI) (/ (/ (PI) F) F))
(PI)
(/ (/ (PI) F) F)
(/ (PI) F)
F
(* l (* (PI) (+ 1 (/ (/ -1 F) F))))
l
(* (PI) (+ 1 (/ (/ -1 F) F)))
(PI)
(+ 1 (/ (/ -1 F) F))
1
(/ (/ -1 F) F)
(/ -1 F)
-1
F
(- 0 (* (+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))) (/ l (* F F))))
0
(* (+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))) (/ l (* F F)))
(+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3)))
(PI)
(* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
(* (* l l) 1/3)
(* l l)
l
1/3
(/ l (* F F))
(* F F)
F
(/ (* (* l l) (- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F)))))) (* l (+ (PI) (/ (PI) (* F F)))))
(* (* l l) (- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F))))))
(* l l)
l
(- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F)))))
(* (PI) (PI))
(PI)
(/ (* (PI) (PI)) (* F (* F (* F F))))
(* F (* F (* F F)))
F
(* F (* F F))
(* F F)
(* l (+ (PI) (/ (PI) (* F F))))
(+ (PI) (/ (PI) (* F F)))
(/ (PI) (* F F))
Outputs
(- (* (PI) l) (/ (/ l F) (/ F (PI))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ l F) (/ F (PI)))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(/ l F)
(/.f64 l F)
F
(/ F (PI))
(/.f64 F (PI.f64))
(* l (- (PI) (/ (/ (PI) F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
l
(- (PI) (/ (/ (PI) F) F))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI)
(PI.f64)
(/ (/ (PI) F) F)
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) F)
(/.f64 (PI.f64) F)
F
(* l (* (PI) (+ 1 (/ (/ -1 F) F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
l
(* (PI) (+ 1 (/ (/ -1 F) F)))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI)
(PI.f64)
(+ 1 (/ (/ -1 F) F))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
1
#s(literal 1 binary64)
(/ (/ -1 F) F)
(/.f64 #s(literal -1 binary64) (*.f64 F F))
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
-1
#s(literal -1 binary64)
F
(- 0 (* (+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))) (/ l (* F F))))
(*.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) (+.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))))))
0
#s(literal 0 binary64)
(* (+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))) (/ l (* F F)))
(*.f64 (/.f64 l (/.f64 (*.f64 F F) (PI.f64))) (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))))
(+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3)))
(*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))))
(PI)
(PI.f64)
(* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))
(*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(* (* l l) 1/3)
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(* l l)
(*.f64 l l)
l
1/3
#s(literal 1/3 binary64)
(/ l (* F F))
(/.f64 (/.f64 l F) F)
(* F F)
(*.f64 F F)
F
(/ (* (* l l) (- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F)))))) (* l (+ (PI) (/ (PI) (* F F)))))
(*.f64 (*.f64 l l) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)))
(* (* l l) (- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F))))))
(*.f64 (PI.f64) (*.f64 (*.f64 l l) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (*.f64 F (*.f64 F F))) F))))
(* l l)
(*.f64 l l)
l
(- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F)))))
(*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) (*.f64 F (*.f64 F F))) F)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
(/ (* (PI) (PI)) (* F (* F (* F F))))
(/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F))))
(* F (* F (* F F)))
(*.f64 F (*.f64 F (*.f64 F F)))
F
(* F (* F F))
(*.f64 F (*.f64 F F))
(* F F)
(*.f64 F F)
(* l (+ (PI) (/ (PI) (* F F))))
(*.f64 (PI.f64) (+.f64 l (/.f64 (/.f64 l F) F)))
(+ (PI) (/ (PI) (* F F)))
(+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(/ (PI) (* F F))
(/.f64 (PI.f64) (*.f64 F F))

localize200.0ms (1.1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.2%
(/.f64 (PI.f64) (*.f64 F F))
accuracy92.8%
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
accuracy86.5%
(*.f64 (*.f64 l l) (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F))))))
accuracy40.1%
(/.f64 (*.f64 (*.f64 l l) (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
accuracy99.7%
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
accuracy94.7%
(*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) (/.f64 l (*.f64 F F)))
accuracy86.9%
(/.f64 l (*.f64 F F))
accuracy100.0%
(PI.f64)
accuracy99.9%
(*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F)))
accuracy99.8%
(/.f64 (/.f64 #s(literal -1 binary64) F) F)
accuracy92.8%
(*.f64 l (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))))
accuracy100.0%
(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
accuracy99.8%
(/.f64 (/.f64 (PI.f64) F) F)
accuracy99.7%
(/.f64 (PI.f64) F)
accuracy92.8%
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
accuracy100.0%
(PI.f64)
accuracy99.7%
(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
accuracy99.7%
(/.f64 F (PI.f64))
accuracy99.6%
(*.f64 (PI.f64) l)
Results
139.0ms256×0valid
Compiler

Compiled 312 to 41 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 24.0ms (38.9% of total)
ival-div: 23.0ms (37.3% of total)
ival-sub: 5.0ms (8.1% of total)
ival-add: 4.0ms (6.5% of total)
...c/correct-round.rkt:119:19: 4.0ms (6.5% of total)
ival-pi: 1.0ms (1.6% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series30.0ms (0.2%)

Counts
25 → 396
Calls
Call 1
Inputs
#<alt (- (* (PI) l) (/ (/ l F) (/ F (PI))))>
#<alt (* (PI) l)>
#<alt (PI)>
#<alt (/ (/ l F) (/ F (PI)))>
#<alt (* l (- (PI) (/ (/ (PI) F) F)))>
#<alt (- (PI) (/ (/ (PI) F) F))>
#<alt (/ (/ (PI) F) F)>
#<alt (* (PI) (+ 1 (/ (/ -1 F) F)))>
#<alt (* l (* (PI) (+ 1 (/ (/ -1 F) F))))>
#<alt (+ 1 (/ (/ -1 F) F))>
#<alt (- 0 (* (+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))) (/ l (* F F))))>
#<alt (* (+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))) (/ l (* F F)))>
#<alt (+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3)))>
#<alt (/ (* (* l l) (- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F)))))) (* l (+ (PI) (/ (PI) (* F F)))))>
#<alt (- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F)))))>
#<alt (* (* l l) (- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F))))))>
#<alt (* l l)>
#<alt (/ F (PI))>
#<alt (/ (PI) F)>
#<alt (/ (/ -1 F) F)>
#<alt (/ l (* F F))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (* (* l l) 1/3)>
#<alt (* l (+ (PI) (/ (PI) (* F F))))>
#<alt (/ (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 (* -1 (/ (PI) (pow F 2)))>
#<alt (/ (+ (* -1 (PI)) (* (pow F 2) (PI))) (pow F 2))>
#<alt (/ (+ (* -1 (PI)) (* (pow F 2) (PI))) (pow F 2))>
#<alt (/ (+ (* -1 (PI)) (* (pow F 2) (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 (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* -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 (pow F 2))>
#<alt (/ (- (pow F 2) 1) (pow F 2))>
#<alt (/ (- (pow F 2) 1) (pow F 2))>
#<alt (/ (- (pow F 2) 1) (pow F 2))>
#<alt 1>
#<alt (- 1 (/ 1 (pow F 2)))>
#<alt (- 1 (/ 1 (pow F 2)))>
#<alt (- 1 (/ 1 (pow F 2)))>
#<alt 1>
#<alt (- 1 (/ 1 (pow F 2)))>
#<alt (- 1 (/ 1 (pow F 2)))>
#<alt (- 1 (/ 1 (pow F 2)))>
#<alt (* -1 (/ (* 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 (/ (PI) (* (pow F 2) (pow l 2)))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))>
#<alt (* (pow l 3) (- (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))>
#<alt (* (pow l 3) (- (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))>
#<alt (* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))>
#<alt (* -1 (* (pow l 3) (- (/ (PI) (* (pow F 2) (pow l 2))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))))>
#<alt (* -1 (* (pow l 3) (- (/ (PI) (* (pow F 2) (pow l 2))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))))>
#<alt (* -1 (* (pow l 3) (- (/ (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 (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))>
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))>
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))>
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))>
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))>
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))>
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))>
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))>
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))>
#<alt (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))>
#<alt (* -1 (/ (* 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 (+ (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 (PI)>
#<alt (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))>
#<alt (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))>
#<alt (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))>
#<alt (* 1/3 (* (pow l 2) (pow (PI) 3)))>
#<alt (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))>
#<alt (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))>
#<alt (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))>
#<alt (* 1/3 (* (pow l 2) (pow (PI) 3)))>
#<alt (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))>
#<alt (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))>
#<alt (* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 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 (/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (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 (/ (pow (PI) 2) (pow F 4)))>
#<alt (/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4))>
#<alt (/ (- (* (pow F 4) (pow (PI) 2)) (pow (PI) 2)) (pow F 4))>
#<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 (* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))>
#<alt (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4)))>
#<alt (/ (+ (* -1 (* (pow l 2) (pow (PI) 2))) (* (pow F 4) (* (pow l 2) (pow (PI) 2)))) (pow F 4))>
#<alt (/ (+ (* -1 (* (pow l 2) (pow (PI) 2))) (* (pow F 4) (* (pow l 2) (pow (PI) 2)))) (pow F 4))>
#<alt (/ (+ (* -1 (* (pow l 2) (pow (PI) 2))) (* (pow F 4) (* (pow l 2) (pow (PI) 2)))) (pow F 4))>
#<alt (* (pow l 2) (pow (PI) 2))>
#<alt (+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2)))>
#<alt (+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2)))>
#<alt (+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2)))>
#<alt (* (pow l 2) (pow (PI) 2))>
#<alt (+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2)))>
#<alt (+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2)))>
#<alt (+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2)))>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<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 (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 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 (/ (* 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)))>
#<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))>
Calls

99 calls:

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

rewrite359.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
3490×*-lowering-*.f32
3490×*-lowering-*.f64
2248×pow-lowering-pow.f64
2248×pow-lowering-pow.f32
2218×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040181
1284159
22939159
08592159
Stop Event
iter limit
node limit
Counts
25 → 913
Calls
Call 1
Inputs
(- (* (PI) l) (/ (/ l F) (/ F (PI))))
(* (PI) l)
(PI)
(/ (/ l F) (/ F (PI)))
(* l (- (PI) (/ (/ (PI) F) F)))
(- (PI) (/ (/ (PI) F) F))
(/ (/ (PI) F) F)
(* (PI) (+ 1 (/ (/ -1 F) F)))
(* l (* (PI) (+ 1 (/ (/ -1 F) F))))
(+ 1 (/ (/ -1 F) F))
(- 0 (* (+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))) (/ l (* F F))))
(* (+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3))) (/ l (* F F)))
(+ (PI) (* (* (PI) (* (PI) (PI))) (* (* l l) 1/3)))
(/ (* (* l l) (- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F)))))) (* l (+ (PI) (/ (PI) (* F F)))))
(- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F)))))
(* (* l l) (- (* (PI) (PI)) (/ (* (PI) (PI)) (* F (* F (* F F))))))
(* l l)
(/ F (PI))
(/ (PI) F)
(/ (/ -1 F) F)
(/ l (* F F))
(* (PI) (* (PI) (PI)))
(* (* l l) 1/3)
(* l (+ (PI) (/ (PI) (* F F))))
(/ (PI) (* F F))
Outputs
(+.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(+.f64 (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)) (/.f64 l F)) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(+.f64 (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 l (*.f64 F F))) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) l)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))) (/.f64 (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 F (*.f64 (/.f64 l F) (PI.f64))))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) (/.f64 (/.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 F (*.f64 (/.f64 l F) (PI.f64)))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))
(fma.f64 (PI.f64) l (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(fma.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)) (/.f64 l F)) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(fma.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 l (*.f64 F F))) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(fma.f64 l (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(fma.f64 (/.f64 l F) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)) (*.f64 (PI.f64) l))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 l (*.f64 F F)) (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (PI.f64) l))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 l F)) (/.f64 (PI.f64) F) (*.f64 (PI.f64) l))
(fma.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 F (*.f64 (/.f64 l F) (PI.f64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)) (/.f64 l F)) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(fma.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 F (*.f64 (/.f64 l F) (PI.f64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 l (*.f64 F F))) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(fma.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))) (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)) (/.f64 l F)) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(fma.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))) (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 l (*.f64 F F))) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(fma.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(fma.f64 (neg.f64 (/.f64 l (*.f64 F F))) (PI.f64) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
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(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 l F)) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(fma.f64 (*.f64 l (/.f64 (PI.f64) F)) (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(fma.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(fma.f64 (*.f64 (/.f64 l F) (PI.f64)) (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 (/.f64 l (*.f64 F F)) #s(literal 1 binary64)) (PI.f64) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 (/.f64 l (*.f64 F F)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 (/.f64 l (*.f64 F F)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (/.f64 l F) #s(literal 1 binary64)) (/.f64 (PI.f64) F) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (/.f64 l F) (-.f64 #s(literal 0 binary64) F)) (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (PI.f64) l))
(/.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F))))) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) l)) (*.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 F (*.f64 (/.f64 l F) (PI.f64)))))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (-.f64 (/.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 F (*.f64 (/.f64 l F) (PI.f64)))) (/.f64 (*.f64 (PI.f64) l) (/.f64 F (*.f64 (/.f64 l F) (PI.f64)))))))
(/.f64 (*.f64 l (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 F F))) (*.f64 F (*.f64 F F))))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (/.f64 (PI.f64) F) F) (-.f64 (/.f64 (/.f64 (PI.f64) F) F) (PI.f64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 F F))) (*.f64 F (*.f64 F F)))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (/.f64 (PI.f64) F) F) (-.f64 (/.f64 (/.f64 (PI.f64) F) F) (PI.f64)))))
(*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l)
(exp.f64 (*.f64 (log.f64 (/.f64 F (/.f64 (PI.f64) F))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 F) #s(literal 2 binary64))))
(neg.f64 (/.f64 (PI.f64) (*.f64 F (-.f64 #s(literal 0 binary64) F))))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (/.f64 (PI.f64) F) F)
(/.f64 (/.f64 (PI.f64) F) (neg.f64 (-.f64 #s(literal 0 binary64) F)))
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (PI.f64) F)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 F (/.f64 (PI.f64) F)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 F (/.f64 (PI.f64) F))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 F (-.f64 #s(literal 0 binary64) F)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (PI.f64)))
(/.f64 (*.f64 (/.f64 (PI.f64) F) #s(literal 1 binary64)) F)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 1 binary64)) (*.f64 F (-.f64 #s(literal 0 binary64) F)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (neg.f64 (*.f64 F (-.f64 #s(literal 0 binary64) F))))
(pow.f64 (/.f64 F (/.f64 (PI.f64) F)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 F (/.f64 (PI.f64) F)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) F) F))
(*.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal 1 binary64) F))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 F F)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 (/.f64 #s(literal 1 binary64) F) F)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 F F)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 #s(literal 1 binary64) F) F)))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F)) (/.f64 #s(literal -1 binary64) F))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (PI.f64) F))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (PI.f64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) F) (/.f64 (cbrt.f64 (PI.f64)) F))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) F) (/.f64 (sqrt.f64 (PI.f64)) F))
(*.f64 (pow.f64 (/.f64 F (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (cbrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 F (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (sqrt.f64 (PI.f64))) #s(literal -1 binary64)))

simplify308.0ms (1.7%)

Algorithm
egg-herbie
Rules
5124×*-lowering-*.f32
5124×*-lowering-*.f64
1710×fnmsub-define
1554×/-lowering-/.f32
1554×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01113620
13343043
211022995
347852819
083472819
Stop Event
iter limit
node limit
Counts
396 → 396
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))
(* -1 (/ (PI) (pow F 2)))
(/ (+ (* -1 (PI)) (* (pow F 2) (PI))) (pow F 2))
(/ (+ (* -1 (PI)) (* (pow F 2) (PI))) (pow F 2))
(/ (+ (* -1 (PI)) (* (pow F 2) (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))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (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 (pow F 2))
(/ (- (pow F 2) 1) (pow F 2))
(/ (- (pow F 2) 1) (pow F 2))
(/ (- (pow F 2) 1) (pow F 2))
1
(- 1 (/ 1 (pow F 2)))
(- 1 (/ 1 (pow F 2)))
(- 1 (/ 1 (pow F 2)))
1
(- 1 (/ 1 (pow F 2)))
(- 1 (/ 1 (pow F 2)))
(- 1 (/ 1 (pow F 2)))
(* -1 (/ (* 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 (/ (PI) (* (pow F 2) (pow l 2)))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))
(* (pow l 3) (- (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))
(* (pow l 3) (- (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))
(* -1 (* (pow l 3) (- (/ (PI) (* (pow F 2) (pow l 2))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))))
(* -1 (* (pow l 3) (- (/ (PI) (* (pow F 2) (pow l 2))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))))
(* -1 (* (pow l 3) (- (/ (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)))
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))
(* -1 (/ (* 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)))))
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(* -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 (+ (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) (* 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) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))
(PI)
(+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))
(+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))
(+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))
(* 1/3 (* (pow l 2) (pow (PI) 3)))
(* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))
(* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))
(* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))
(* 1/3 (* (pow l 2) (pow (PI) 3)))
(* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))
(* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 2))))
(* (pow l 2) (+ (* 1/3 (pow (PI) 3)) (/ (PI) (pow l 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))))
(/ (* l (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4)))) (+ (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 (/ (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))
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* (pow l 2) (- (pow (PI) 2) (/ (pow (PI) 2) (pow F 4))))
(* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4)))
(/ (+ (* -1 (* (pow l 2) (pow (PI) 2))) (* (pow F 4) (* (pow l 2) (pow (PI) 2)))) (pow F 4))
(/ (+ (* -1 (* (pow l 2) (pow (PI) 2))) (* (pow F 4) (* (pow l 2) (pow (PI) 2)))) (pow F 4))
(/ (+ (* -1 (* (pow l 2) (pow (PI) 2))) (* (pow F 4) (* (pow l 2) (pow (PI) 2)))) (pow F 4))
(* (pow l 2) (pow (PI) 2))
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2)))
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2)))
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2)))
(* (pow l 2) (pow (PI) 2))
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2)))
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2)))
(+ (* -1 (/ (* (pow l 2) (pow (PI) 2)) (pow F 4))) (* (pow l 2) (pow (PI) 2)))
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(/ 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)
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* l (+ (PI) (/ (PI) (pow F 2))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(* l (+ (PI) (/ (PI) (pow F 2))))
(/ (* l (PI)) (pow F 2))
(/ (+ (* l (PI)) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* l (PI)) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* l (PI)) (* (pow F 2) (* l (PI)))) (pow F 2))
(* l (PI))
(+ (* l (PI)) (/ (* l (PI)) (pow F 2)))
(+ (* l (PI)) (/ (* l (PI)) (pow F 2)))
(+ (* l (PI)) (/ (* l (PI)) (pow F 2)))
(* l (PI))
(+ (* l (PI)) (/ (* l (PI)) (pow F 2)))
(+ (* l (PI)) (/ (* l (PI)) (pow F 2)))
(+ (* l (PI)) (/ (* l (PI)) (pow F 2)))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
Outputs
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(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
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(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (/.f64 (*.f64 l (-.f64 #s(literal 0 binary64) (PI.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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(/ (- (* (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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(* 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))
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(* 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 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) F)
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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))))
(* 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 (/.f64 (*.f64 l (-.f64 #s(literal 0 binary64) (PI.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))))
(/ (+ (* -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))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI)
(PI.f64)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI)
(PI.f64)
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(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
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(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(* -1 (/ (PI) (pow F 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (*.f64 F F)))
(/ (+ (* -1 (PI)) (* (pow F 2) (PI))) (pow F 2))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(/ (+ (* -1 (PI)) (* (pow F 2) (PI))) (pow F 2))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(/ (+ (* -1 (PI)) (* (pow F 2) (PI))) (pow F 2))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI)
(PI.f64)
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(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
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(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI)
(PI.f64)
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(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
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(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
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(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
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(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))

eval578.0ms (3.1%)

Compiler

Compiled 48941 to 4760 computations (90.3% saved)

prune551.0ms (3%)

Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New193491943
Fresh448
Picked235
Done022
Total1940181958
Accuracy
100.0%
Counts
1958 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.3%
(/.f64 (/.f64 (*.f64 l (-.f64 #s(literal 0 binary64) (PI.f64))) F) F)
48.8%
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 F F))) (*.f64 F (*.f64 F F)))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (/.f64 (PI.f64) F) F) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))
40.5%
(/.f64 (*.f64 (*.f64 l l) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) l)
27.7%
(/.f64 (*.f64 (*.f64 l l) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
51.9%
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F))))) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
27.7%
(/.f64 (*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64)))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
16.1%
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
22.9%
(/.f64 (neg.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 l l) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) (*.f64 F F))
73.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
73.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
29.3%
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F))
37.4%
(*.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l) (*.f64 l l))
47.0%
(*.f64 l (/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F)))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F))))) (*.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F)))))))
66.8%
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
66.8%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
66.8%
(*.f64 l (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))))
71.2%
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
71.7%
(*.f64 l (PI.f64))
Compiler

Compiled 1141 to 359 computations (68.5% saved)

regimes91.0ms (0.5%)

Counts
44 → 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 (/.f64 (PI.f64) F) l) F))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (/.f64 (*.f64 l (-.f64 #s(literal 0 binary64) (PI.f64))) F) F)
(*.f64 l (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(*.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l) (*.f64 l l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F)))
(/.f64 (*.f64 (*.f64 l l) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) l)
(/.f64 (*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64)))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(/.f64 (neg.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 l l) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) (*.f64 F F))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) (/.f64 l (*.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 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F))))) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.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 l (PI.f64)) F) F))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 (*.f64 F F) (PI.f64)) F))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (*.f64 (*.f64 l l) (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.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 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 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(*.f64 (*.f64 l (*.f64 l l)) (+.f64 (-.f64 (/.f64 (PI.f64) (*.f64 l l)) (/.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 F F))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal -1/3 binary64) (*.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 (*.f64 F F) (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 (*.f64 F F) (PI.f64)) F)))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 F F))) (*.f64 F (*.f64 F F)))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (/.f64 (PI.f64) F) F) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))
(*.f64 l (/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F)))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F))))) (*.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F)))))))
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(-.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 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(*.f64 l (PI.f64))
Calls

6 calls:

21.0ms
F
16.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
13.0ms
(*.f64 (PI.f64) l)
13.0ms
(*.f64 F F)
12.0ms
l
Results
AccuracySegmentsBranch
81.3%2F
99.6%2l
91.5%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
99.6%2(*.f64 (PI.f64) l)
79.5%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
79.5%1(*.f64 F F)
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes26.0ms (0.1%)

Counts
36 → 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 (/.f64 (PI.f64) F) l) F))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (/.f64 (*.f64 l (-.f64 #s(literal 0 binary64) (PI.f64))) F) F)
(*.f64 l (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(*.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l) (*.f64 l l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal 1 binary64) F)))
(/.f64 (*.f64 (*.f64 l l) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) l)
(/.f64 (*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64)))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(/.f64 (neg.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 l l) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) (*.f64 F F))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))) (/.f64 l (*.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 l (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F))))) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.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 l (PI.f64)) F) F))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 (*.f64 F F) (PI.f64)) F))) l) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (*.f64 (*.f64 l l) (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F (*.f64 F (*.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 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 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (/.f64 #s(literal 1 binary64) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(*.f64 (*.f64 l (*.f64 l l)) (+.f64 (-.f64 (/.f64 (PI.f64) (*.f64 l l)) (/.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 F F))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal -1/3 binary64) (*.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 (*.f64 F F) (*.f64 (PI.f64) l))) (*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 (*.f64 F F) (PI.f64)) F)))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F (*.f64 F F))) (*.f64 F (*.f64 F F)))) l) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (/.f64 (PI.f64) F) F) (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))))
(*.f64 l (/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F)))) (*.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F))))) (*.f64 (+.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (*.f64 (PI.f64) (+.f64 (PI.f64) (/.f64 (/.f64 (/.f64 (PI.f64) F) F) (*.f64 F F)))))))
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
Outputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 l (PI.f64))
Calls

2 calls:

14.0ms
l
10.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
99.1%2l
99.1%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Counts
9 → 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 (/.f64 (PI.f64) F) l) F))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (/.f64 (*.f64 l (-.f64 #s(literal 0 binary64) (PI.f64))) F) F)
(*.f64 l (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(*.f64 l (PI.f64))
Calls

1 calls:

3.0ms
l
Results
AccuracySegmentsBranch
92.8%2l
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts
8 → 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 (/.f64 (PI.f64) F) l) F))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (/.f64 (*.f64 l (-.f64 #s(literal 0 binary64) (PI.f64))) F) F)
(*.f64 l (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) F) F))))
Outputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (PI.f64))
Calls

1 calls:

3.0ms
l
Results
AccuracySegmentsBranch
92.3%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
l
1.0ms
F
Results
AccuracySegmentsBranch
71.7%1F
71.7%1l
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
45486.561911628814
27615269.082592808
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.15097076790593772
612.8724917433568
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
0.04805548794921852
195.0833730920041
Results
14.0ms128×0valid
Compiler

Compiled 181 to 126 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-tan: 4.0ms (40.3% of total)
ival-mult: 4.0ms (40.3% of total)
ival-pi: 1.0ms (10.1% of total)
ival-div: 1.0ms (10.1% of total)
ival-sub: 1.0ms (10.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
0.04805548794921852
195.0833730920041
Results
16.0ms128×0valid
Compiler

Compiled 165 to 118 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-tan: 4.0ms (45.6% of total)
ival-mult: 3.0ms (34.2% of total)
ival-pi: 1.0ms (11.4% of total)
ival-div: 1.0ms (11.4% of total)
ival-sub: 1.0ms (11.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
34×*-commutative_binary64
34×+-commutative_binary64
34×sub-neg_binary64
26×neg-sub0_binary64
26×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03078
15178
28878
312078
414078
514978
615178
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50000 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 3602879701896397/18014398509481984 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 63/2 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 63/2 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 50000 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 50000 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 3602879701896397/18014398509481984 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 3602879701896397/18014398509481984 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 (PI.f64) l))
(if (<=.f64 l #s(literal 63/2 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 63/2 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) l))
(if (<=.f64 l #s(literal 63/2 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 63/2 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

soundness2.1s (11.3%)

Rules
6026×*-lowering-*.f32
6026×*-lowering-*.f64
5744×*-lowering-*.f32
5744×*-lowering-*.f64
5116×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027120
1207115
22078115
09852115
01245
110345
268345
0858845
01492431
14732071
217611867
081471867
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 182 to 96 computations (47.3% saved)

preprocess126.0ms (0.7%)

Remove

(abs F)

Compiler

Compiled 468 to 210 computations (55.1% saved)

end0.0ms (0%)

Profiling

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