VandenBroeck and Keller, Equation (6)

Time bar (total: 21.2s)

analyze297.0ms (1.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
21.9%21.9%78%0.1%0%0%0%7
23.4%23.4%76.5%0.1%0%0%0%8
35.2%35.1%64.8%0.1%0%0%0%9
36.3%36.3%63.6%0.1%0%0%0%10
42.4%42.3%57.6%0.1%0%0%0%11
43.1%43%56.9%0.1%0%0%0%12
Compiler

Compiled 17 to 11 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-mult: 54.0ms (44.2% of total)
ival-tan: 20.0ms (16.4% of total)
ival-div: 18.0ms (14.7% of total)
ival-pi: 13.0ms (10.6% of total)
ival-sub: 13.0ms (10.6% of total)
const: 3.0ms (2.5% of total)
backward-pass: 1.0ms (0.8% of total)

sample4.7s (22.1%)

Results
3.7s3814×1valid
373.0ms4324×0valid
289.0ms118×2valid
5.0ms7×5exit
Precisions
Click to see histograms. Total time spent on operations: 3.9s
ival-tan: 3.3s (84.1% of total)
ival-mult: 299.0ms (7.7% of total)
ival-div: 101.0ms (2.6% of total)
backward-pass: 78.0ms (2% of total)
ival-sub: 65.0ms (1.7% of total)
ival-pi: 59.0ms (1.5% of total)
const: 14.0ms (0.4% of total)
Bogosity

preprocess143.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
956×fnmadd-define
788×fmsub-define
786×fma-define
784×fnmsub-define
676×fnmadd-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02870
19760
229360
375960
4167560
5275760
6369060
7432860
8444060
9444860
01011
12710
26610
315310
426810
547310
671510
799610
8143510
9223710
10241910
11250410
12252010
0252010
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
Outputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
Call 2
Inputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l))))
(- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l)))))
(neg (- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l)))))
(neg (- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l))))))
(- (* (PI) F) (* (/ 1 (* l l)) (tan (* (PI) F))))
Outputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(fmsub (PI) l (/ (tan (* (PI) l)) (square F)))
(- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l))))
(fmsub (PI) l (/ (tan (* (PI) l)) (square F)))
(- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l)))))
(fnmadd (PI) l (/ (tan (* (PI) l)) (square F)))
(neg (- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l)))))
(fnmadd (PI) l (/ (tan (* (PI) l)) (square F)))
(neg (- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l))))))
(fmsub (PI) l (/ (tan (* (PI) l)) (square F)))
(- (* (PI) F) (* (/ 1 (* l l)) (tan (* (PI) F))))
(fmsub (PI) F (/ (tan (* (PI) F)) (square l)))
Symmetry

(abs F)

(negabs l)

explain462.0ms (2.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1250-2(8.613730016970027e-262 7.139334609243104e+307)(tan.f64 (*.f64 (PI.f64) l))
470-0-(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
31(2.4924997277917084e+161 2.224956418910329e+59)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
148.0ms82×2valid
127.0ms144×1valid
74.0ms18×3valid
40.0ms268×0valid
Compiler

Compiled 108 to 32 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 319.0ms
ival-tan: 267.0ms (83.8% of total)
ival-mult: 23.0ms (7.2% of total)
backward-pass: 10.0ms (3.1% of total)
ival-div: 7.0ms (2.2% of total)
ival-pi: 7.0ms (2.2% of total)
ival-sub: 4.0ms (1.3% of total)
const: 1.0ms (0.3% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 8 computations (42.9% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
▶74.5%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Compiler

Compiled 30 to 18 computations (40% saved)

simplify54.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

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
13562
27762
316162
427662
548962
677462
7105162
8148862
9240462
10258562
11267062
12268662
0268662
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(* (PI) l)
(PI)
l
(* (/ 1 (* F F)) (tan (* (PI) l)))
(/ 1 (* F F))
1
(* F F)
F
(tan (* (PI) l))
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))
(* (PI) l)
(PI)
l
(/ (tan (* (PI) l)) (* F F))
(tan (* (PI) l))
(* F F)
F
Outputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(* (/ 1 (* F F)) (tan (* (PI) l)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/ 1 (* F F))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
1
#s(literal 1 binary64)
(* F F)
(*.f64 F F)
F
(tan (* (PI) l))
(tan.f64 (*.f64 (PI.f64) l))
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (tan (* (PI) l)) (* F F))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(tan (* (PI) l))
(tan.f64 (*.f64 (PI.f64) l))
(* F F)
(*.f64 F F)
F

localize266.0ms (1.3%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
✓accuracy99.6%
(*.f64 (PI.f64) l)
✓accuracy83.4%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
✓accuracy53.9%
(tan.f64 (*.f64 (PI.f64) l))
✓accuracy99.6%
(*.f64 (PI.f64) l)
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (*.f64 F F))
✓accuracy82.0%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓accuracy53.9%
(tan.f64 (*.f64 (PI.f64) l))
Results
87.0ms41×2valid
71.0ms72×1valid
49.0ms134×0valid
33.0ms9×3valid
Compiler

Compiled 79 to 13 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 158.0ms
ival-tan: 126.0ms (79.9% of total)
ival-mult: 10.0ms (6.3% of total)
backward-pass: 7.0ms (4.4% of total)
ival-div: 6.0ms (3.8% of total)
ival-sub: 6.0ms (3.8% of total)
ival-pi: 2.0ms (1.3% of total)
const: 1.0ms (0.6% of total)

series45.0ms (0.2%)

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
@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)))
1.0ms
l
@0
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))

rewrite354.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1930×*-lowering-*.f32
1930×*-lowering-*.f64
1776×fma-lowering-fma.f32
1776×fma-lowering-fma.f64
1504×sum4-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
17545
235145
3313545
0815445
Stop Event
1×iter limit
1×node limit
Counts
8 → 963
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 #s(literal -1 binary64) (*.f64 F F))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F))))
(neg.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)))
(/.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 (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 0 binary64) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 F F)) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 (-.f64 #s(literal 0 binary64) F)))
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (neg.f64 (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 F F)))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l)))) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 (*.f64 F F) (-.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 (-.f64 #s(literal 0 binary64) (*.f64 F F)) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 F (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (-.f64 #s(literal 0 binary64) F) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 (-.f64 #s(literal 0 binary64) F) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) F)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) F)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))) F))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 F F)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) F)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) F)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))) F))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (*.f64 F F))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (neg.f64 (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)) (neg.f64 (*.f64 F (cos.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 (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)) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) F))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.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))
(pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.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 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F))) #s(literal -1 binary64))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (*.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) (neg.f64 (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) 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 F (cos.f64 (*.f64 (PI.f64) l)))))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal -1 binary64) F))
(*.f64 (-.f64 #s(literal 0 binary64) (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 (/.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)))
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(/.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) (tan.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) F))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.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))
(pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.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 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F))) #s(literal -1 binary64))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (*.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) (neg.f64 (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) 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 F (cos.f64 (*.f64 (PI.f64) l)))))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal -1 binary64) F))
(*.f64 (-.f64 #s(literal 0 binary64) (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 (/.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 (/.f64 #s(literal 1 binary64) (/.f64 (*.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 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64)))
(-.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 (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 (*.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))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) (-.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)))))
(pow.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(*.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)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 F)))
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) F)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 F) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 F) #s(literal -1 binary64)) (*.f64 (log.f64 F) #s(literal -1 binary64))))
(-.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 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (-.f64 #s(literal 0 binary64) F)))
(/.f64 (/.f64 #s(literal -1 binary64) F) (-.f64 #s(literal 0 binary64) F))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) F))
(pow.f64 F #s(literal -2 binary64))
(pow.f64 (*.f64 F F) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) F) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 F)) #s(literal -2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 F)))
(*.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) (*.f64 F F)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 #s(literal -1 binary64) F))

simplify353.0ms (1.7%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01492431
14702071
217581867
081261867
Stop Event
1×iter limit
1×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)))))
(/.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)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (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) (*.f64 (PI.f64) #s(literal 1/3 binary64)))) (*.f64 F F)) (*.f64 (*.f64 l l) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (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) (*.f64 (PI.f64) #s(literal 1/3 binary64)))) (*.f64 F F)) (*.f64 l (*.f64 l (+.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F)) (*.f64 (*.f64 l l) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F)) (+.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 F F)) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64)))))))))))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (-.f64 (/.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64))) (*.f64 F F)) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (-.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (*.f64 l (*.f64 l (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F))))))) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F))) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F)) (+.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 F F)) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64)))))))))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
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(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* l (PI))
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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 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(/.f64 (sin.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
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(/ (- (* (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))
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(* l (PI))
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(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (-.f64 (/.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64))) (*.f64 F F)) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (-.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (*.f64 l (*.f64 l (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F))))))) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F))) (*.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F)) (+.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 F F)) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64)))))))))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (* l (PI)) (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) (*.f64 (PI.f64) #s(literal 1/3 binary64)))) (*.f64 F F)) (*.f64 (*.f64 l l) (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (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) (*.f64 (PI.f64) #s(literal 1/3 binary64)))) (*.f64 F F)) (*.f64 l (*.f64 l (+.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F)) (*.f64 (*.f64 l l) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F)) (+.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 F F)) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64)))))))))))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 l l) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))) (*.f64 l (*.f64 l (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))))))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 l l) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))) (*.f64 l (*.f64 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 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 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 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64)))) (+.f64 (*.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))))))))))))))))
(/ (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)

eval359.0ms (1.7%)

Compiler

Compiled 35299 to 1929 computations (94.5% saved)

prune125.0ms (0.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1448141462
Fresh000
Picked112
Done000
Total1449151464
Accuracy
99.9%
Counts
1464 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 l (sqrt.f64 (PI.f64))))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
75.4%
(-.f64 (*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
▶75.1%
(-.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
▶80.8%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
▶80.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
52.8%
(-.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)))
69.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
75.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l)) (*.f64 F F)))
✓75.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
80.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F))))
80.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) F))))
▶68.0%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
68.5%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
52.5%
(*.f64 l (+.f64 (PI.f64) (-.f64 (/.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64))) (*.f64 F F)) (/.f64 (PI.f64) (*.f64 F F)))))
▶71.7%
(*.f64 l (PI.f64))
Compiler

Compiled 514 to 316 computations (38.5% saved)

simplify110.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓cost-diff0
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l)
✓cost-diff0
(-.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
✓cost-diff6656
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓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
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))
✓cost-diff128
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
✓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
2816×sum5-define
2090×fnmadd-define
1854×sum3-define
1410×fma-define
1044×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024144
169142
2172141
3485141
4968141
51709141
63183141
75150141
08021141
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))
(* (PI) l)
(PI)
l
(/ (/ (tan (* (PI) l)) F) F)
(/ (tan (* (PI) l)) F)
(tan (* (PI) l))
F
(* l (PI))
l
(PI)
(- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))
(* (PI) l)
(PI)
l
(* (/ 1 (* F F)) (* l (PI)))
(/ 1 (* F F))
1
(* F F)
F
(* l (PI))
(- (* (PI) l) (/ (/ 1 F) (/ F (tan (* (PI) l)))))
(* (PI) l)
(PI)
l
(/ (/ 1 F) (/ F (tan (* (PI) l))))
(/ 1 F)
1
F
(/ F (tan (* (PI) l)))
(tan (* (PI) l))
(- (* (cbrt (* (PI) (* (PI) (PI)))) l) (/ (tan (* (PI) l)) (* F F)))
(* (cbrt (* (PI) (* (PI) (PI)))) l)
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
l
(/ (tan (* (PI) l)) (* F F))
(tan (* (PI) l))
(* (PI) l)
(* F F)
F
Outputs
(- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ (tan (* (PI) l)) F) F)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/ (tan (* (PI) l)) F)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan (* (PI) l))
(tan.f64 (*.f64 (PI.f64) l))
F
(* l (PI))
(*.f64 (PI.f64) l)
l
(PI)
(PI.f64)
(- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(* (/ 1 (* F F)) (* l (PI)))
(/.f64 (*.f64 (PI.f64) l) (*.f64 F F))
(/ 1 (* F F))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
1
#s(literal 1 binary64)
(* F F)
(*.f64 F F)
F
(* l (PI))
(*.f64 (PI.f64) l)
(- (* (PI) l) (/ (/ 1 F) (/ F (tan (* (PI) l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ 1 F) (/ F (tan (* (PI) l))))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/ 1 F)
(/.f64 #s(literal 1 binary64) F)
1
#s(literal 1 binary64)
F
(/ F (tan (* (PI) l)))
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
(tan (* (PI) l))
(tan.f64 (*.f64 (PI.f64) l))
(- (* (cbrt (* (PI) (* (PI) (PI)))) l) (/ (tan (* (PI) l)) (* F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(* (cbrt (* (PI) (* (PI) (PI)))) l)
(*.f64 (PI.f64) l)
(cbrt (* (PI) (* (PI) (PI))))
(PI.f64)
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
l
(/ (tan (* (PI) l)) (* F F))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(tan (* (PI) l))
(tan.f64 (*.f64 (PI.f64) l))
(* (PI) l)
(*.f64 (PI.f64) l)
(* F F)
(*.f64 F F)
F

localize3.7s (17.5%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓accuracy98.6%
(tan.f64 (*.f64 (PI.f64) l))
✓accuracy94.5%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
✓accuracy55.3%
(PI.f64)
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
✓accuracy99.8%
(*.f64 (PI.f64) l)
✓accuracy98.6%
(tan.f64 (*.f64 (PI.f64) l))
✓accuracy55.3%
(PI.f64)
✓accuracy99.8%
(*.f64 l (PI.f64))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 F F))
✓accuracy93.6%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))
✓accuracy55.3%
(PI.f64)
✓accuracy99.8%
(*.f64 l (PI.f64))
✓accuracy55.3%
(PI.f64)
✓accuracy99.8%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
✓accuracy99.8%
(*.f64 (PI.f64) l)
✓accuracy98.6%
(tan.f64 (*.f64 (PI.f64) l))
✓accuracy55.3%
(PI.f64)
Results
3.5s118×5exit
97.0ms136×0valid
2.0ms2×1valid
Compiler

Compiled 188 to 25 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.2s
ival-tan: 3.1s (95.2% of total)
backward-pass: 49.0ms (1.5% of total)
ival-div: 43.0ms (1.3% of total)
ival-mult: 34.0ms (1.1% of total)
ival-sub: 15.0ms (0.5% of total)
ival-cbrt: 7.0ms (0.2% of total)
ival-pi: 4.0ms (0.1% of total)
const: 1.0ms (0% of total)

series19.0ms (0.1%)

Counts
17 → 276
Calls
Call 1
Inputs
#<alt (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))>
#<alt (* (PI) l)>
#<alt (PI)>
#<alt (/ (/ (tan (* (PI) l)) F) F)>
#<alt (* l (PI))>
#<alt (- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))>
#<alt (* (/ 1 (* F F)) (* l (PI)))>
#<alt (/ (/ 1 F) (/ F (tan (* (PI) l))))>
#<alt (- (* (PI) l) (/ (/ 1 F) (/ F (tan (* (PI) l)))))>
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (- (* (cbrt (* (PI) (* (PI) (PI)))) l) (/ (tan (* (PI) l)) (* F F)))>
#<alt (* (cbrt (* (PI) (* (PI) (PI)))) l)>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (tan (* (PI) l))>
#<alt (/ (tan (* (PI) l)) F)>
#<alt (/ 1 (* F F))>
#<alt (/ (tan (* (PI) l)) (* F F))>
Outputs
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<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 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (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) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (* l (PI)) F)>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
Calls

69 calls:

TimeVariablePointExpression
2.0ms
l
@inf
(- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))
1.0ms
l
@0
(/ (tan (* (PI) l)) F)
0.0ms
l
@0
(- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))
0.0ms
F
@inf
(/ (tan (* (PI) l)) F)
0.0ms
l
@-inf
(/ (tan (* (PI) l)) F)

rewrite264.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
2810×*-lowering-*.f32
2810×*-lowering-*.f64
1584×fma-lowering-fma.f32
1584×fma-lowering-fma.f64
1488×fmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02495
114093
275592
3565592
0829492
Stop Event
1×iter limit
1×node limit
Counts
17 → 1247
Calls
Call 1
Inputs
(- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))
(* (PI) l)
(PI)
(/ (/ (tan (* (PI) l)) F) F)
(* l (PI))
(- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))
(* (/ 1 (* F F)) (* l (PI)))
(/ (/ 1 F) (/ F (tan (* (PI) l))))
(- (* (PI) l) (/ (/ 1 F) (/ F (tan (* (PI) l)))))
(cbrt (* (PI) (* (PI) (PI))))
(- (* (cbrt (* (PI) (* (PI) (PI)))) l) (/ (tan (* (PI) l)) (* F F)))
(* (cbrt (* (PI) (* (PI) (PI)))) l)
(* (PI) (* (PI) (PI)))
(tan (* (PI) l))
(/ (tan (* (PI) l)) F)
(/ 1 (* F F))
(/ (tan (* (PI) l)) (* F F))
Outputs
(+.f64 (*.f64 (PI.f64) l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F))))
(+.f64 (*.f64 (PI.f64) l) (+.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F))) (+.f64 (*.f64 (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 (*.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 -1 binary64) (*.f64 F F))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (+.f64 (+.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -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 -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 -1 binary64) (*.f64 F F))) (*.f64 (PI.f64) l))
(+.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F))) (+.f64 (*.f64 (PI.f64) l) (+.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
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(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64))
(/.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 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 F F)) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (-.f64 #s(literal 0 binary64) F) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (*.f64 (-.f64 #s(literal 0 binary64) F) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (*.f64 #s(literal 1 binary64) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 F F)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 #s(literal 1 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 F (*.f64 (cos.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 F) (-.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 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 F F)) (-.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 (-.f64 #s(literal 0 binary64) F) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) (*.f64 F (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 F F)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) F)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) F)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))) F))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) F)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) F)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))) F))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 F (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 (-.f64 #s(literal 0 binary64) F) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)) (*.f64 (cos.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 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (*.f64 F (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 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 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F))) (-.f64 #s(literal 0 binary64) (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 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 F F))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l)))) (cos.f64 (*.f64 (PI.f64) l)))
(pow.f64 (/.f64 (*.f64 F F) (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)) F) (/.f64 #s(literal 1 binary64) F))
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64))
(*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F))) #s(literal -1 binary64))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 F F)))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(*.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 (/.f64 #s(literal 1 binary64) (cos.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 F (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(*.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F))))
(*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal -1 binary64) F))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)))
(*.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 F (cos.f64 (*.f64 (PI.f64) l)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 F (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 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 (/.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) F)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (sin.f64 (*.f64 (PI.f64) l)))) (/.f64 (/.f64 #s(literal 1 binary64) F) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 F (sin.f64 (*.f64 (PI.f64) l)))) (/.f64 (/.f64 #s(literal -1 binary64) F) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (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) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (/.f64 (/.f64 #s(literal 1 binary64) F) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (sin.f64 (*.f64 (PI.f64) l)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) F))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))

simplify329.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
5466×*-lowering-*.f32
5466×*-lowering-*.f64
4312×+-lowering-+.f64
4312×+-lowering-+.f32
1316×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02004345
16563752
223073457
084673457
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
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Outputs
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (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)))))

eval367.0ms (1.7%)

Compiler

Compiled 53809 to 4733 computations (91.2% saved)

prune274.0ms (1.3%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New2543122555
Fresh639
Picked415
Done011
Total2553172570
Accuracy
100.0%
Counts
2570 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
(-.f64 (*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
74.3%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
▶58.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F))
▶80.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l)) F) F))
74.5%
(-.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)))))
74.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
60.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) F)) (/.f64 (PI.f64) F))) F))
✓75.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
▶74.7%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
71.5%
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
71.5%
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 l (sqrt.f64 (PI.f64)))))
69.4%
(*.f64 (-.f64 l (/.f64 l (*.f64 F F))) (PI.f64))
18.1%
(*.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
▶68.5%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
52.5%
(*.f64 l (+.f64 (PI.f64) (-.f64 (/.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64))) (*.f64 F F)) (/.f64 (PI.f64) (*.f64 F F)))))
▶71.1%
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓71.7%
(*.f64 l (PI.f64))
Compiler

Compiled 529 to 328 computations (38% saved)

simplify182.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓cost-diff0
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓cost-diff6656
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓cost-diff0
(/.f64 (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F)
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff128
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F))
✓cost-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)))
✓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
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l)) F) F))
✓cost-diff6656
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
Rules
3346×*-lowering-*.f32
3346×*-lowering-*.f64
2008×fnmsub-define
1300×sum5-define
1136×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030222
180199
2205197
3536197
41185197
52889197
66858197
08145197
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (* (PI) l) (/ (/ (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)) F) F))
(* (PI) l)
(PI)
l
(/ (/ (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)) F) F)
(/ (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)) F)
(tan (* (cbrt (* (PI) (* (PI) (PI)))) l))
(* (cbrt (* (PI) (* (PI) (PI)))) l)
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
F
(* l (- (PI) (/ (PI) (* F F))))
l
(- (PI) (/ (PI) (* F F)))
(PI)
(/ (PI) (* F F))
(* F F)
F
(- (* (PI) l) (* (/ (PI) F) (/ l F)))
(* (PI) l)
(PI)
l
(* (/ (PI) F) (/ l F))
(/ (PI) F)
F
(/ l F)
(- (* (PI) l) (/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F))
(* (PI) l)
(PI)
l
(/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F)
(/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F)
(* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3)))))
(+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))
(* l (* l (* (* (PI) (* (PI) (PI))) 1/3)))
(* l (* (* (PI) (* (PI) (PI))) 1/3))
(* (* (PI) (* (PI) (PI))) 1/3)
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
1/3
F
(* l (cbrt (* (PI) (* (PI) (PI)))))
l
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
Outputs
(- (* (PI) l) (/ (/ (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)) F) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)) F) F)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/ (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)) F)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan (* (cbrt (* (PI) (* (PI) (PI)))) l))
(tan.f64 (*.f64 (PI.f64) l))
(* (cbrt (* (PI) (* (PI) (PI)))) l)
(*.f64 (PI.f64) l)
(cbrt (* (PI) (* (PI) (PI))))
(PI.f64)
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
F
(* l (- (PI) (/ (PI) (* F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 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) (* (/ (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 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (PI) F)
(/.f64 (PI.f64) F)
F
(/ l F)
(/.f64 l F)
(- (* (PI) l) (/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F))
(*.f64 (PI.f64) (-.f64 l (*.f64 (+.f64 (*.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))))) #s(literal 1 binary64)) (/.f64 l (*.f64 F F)))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F)
(*.f64 (+.f64 (*.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))))) #s(literal 1 binary64)) (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F)
(/.f64 (*.f64 (*.f64 (PI.f64) l) (+.f64 (*.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))))) #s(literal 1 binary64))) F)
(* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3)))))
(*.f64 (*.f64 (PI.f64) l) (+.f64 (*.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
(+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))
(*.f64 (PI.f64) (+.f64 (*.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
(* l (* l (* (* (PI) (* (PI) (PI))) 1/3)))
(*.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))))))
(* l (* (* (PI) (* (PI) (PI))) 1/3))
(*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))
(* (* (PI) (* (PI) (PI))) 1/3)
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
1/3
#s(literal 1/3 binary64)
F
(* l (cbrt (* (PI) (* (PI) (PI)))))
(*.f64 (PI.f64) l)
l
(cbrt (* (PI) (* (PI) (PI))))
(PI.f64)
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))

localize423.0ms (2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy98.4%
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓accuracy98.4%
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy96.9%
(/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F)
✓accuracy95.8%
(/.f64 (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F)
✓accuracy99.8%
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
✓accuracy99.7%
(/.f64 (PI.f64) F)
✓accuracy99.6%
(*.f64 (PI.f64) l)
✓accuracy99.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
✓accuracy99.0%
(/.f64 (PI.f64) (*.f64 F F))
✓accuracy93.5%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
✓accuracy99.6%
(*.f64 (PI.f64) l)
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy98.4%
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓accuracy53.9%
(tan.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l))
Results
138.0ms42×2valid
113.0ms69×1valid
65.0ms136×0valid
49.0ms9×3valid
Compiler

Compiled 291 to 31 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 239.0ms
ival-tan: 138.0ms (57.7% of total)
ival-mult: 36.0ms (15.1% of total)
ival-div: 21.0ms (8.8% of total)
backward-pass: 20.0ms (8.4% of total)
ival-sub: 8.0ms (3.3% of total)
...c/correct-round.rkt:119:19: 6.0ms (2.5% of total)
ival-cbrt: 5.0ms (2.1% of total)
ival-pi: 2.0ms (0.8% of total)
ival-add: 2.0ms (0.8% of total)
const: 0.0ms (0% of total)

series23.0ms (0.1%)

Counts
17 → 240
Calls
Call 1
Inputs
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (- (* (PI) l) (/ (/ (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)) F) F))>
#<alt (* (PI) l)>
#<alt (PI)>
#<alt (* l (- (PI) (/ (PI) (* F F))))>
#<alt (- (PI) (/ (PI) (* F F)))>
#<alt (/ (PI) (* F F))>
#<alt (- (* (PI) l) (* (/ (PI) F) (/ l F)))>
#<alt (* (/ (PI) F) (/ l F))>
#<alt (- (* (PI) l) (/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F))>
#<alt (/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F)>
#<alt (* l (cbrt (* (PI) (* (PI) (PI)))))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (tan (* (cbrt (* (PI) (* (PI) (PI)))) l))>
#<alt (/ (PI) F)>
#<alt (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F)>
#<alt (* (* (PI) (* (PI) (PI))) 1/3)>
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) (/ (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) (* -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 (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (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 (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) F)) (/ (PI) F)))>
#<alt (* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) F)) (/ (PI) F)))>
#<alt (* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) F)) (/ (PI) F)))>
#<alt (* 1/3 (/ (* (pow l 3) (pow (PI) 3)) F))>
#<alt (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) F)) (/ (PI) (* F (pow l 2)))))>
#<alt (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) F)) (/ (PI) (* F (pow l 2)))))>
#<alt (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) F)) (/ (PI) (* F (pow l 2)))))>
#<alt (* 1/3 (/ (* (pow l 3) (pow (PI) 3)) F))>
#<alt (* -1 (* (pow l 3) (+ (* -1 (/ (PI) (* F (pow l 2)))) (* -1/3 (/ (pow (PI) 3) F)))))>
#<alt (* -1 (* (pow l 3) (+ (* -1 (/ (PI) (* F (pow l 2)))) (* -1/3 (/ (pow (PI) 3) F)))))>
#<alt (* -1 (* (pow l 3) (+ (* -1 (/ (PI) (* F (pow l 2)))) (* -1/3 (/ (pow (PI) 3) F)))))>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) F)>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) F)>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) F)>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) F)>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) F)>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) F)>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) F)>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) F)>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) F)>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) F)>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) F)>
#<alt (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) F)>
Calls

60 calls:

TimeVariablePointExpression
5.0ms
l
@0
(- (* (PI) l) (/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F))
4.0ms
F
@0
(- (* (PI) l) (/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F))
1.0ms
l
@-inf
(- (* (PI) l) (/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F))
1.0ms
l
@inf
(- (* (PI) l) (/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F))
1.0ms
l
@0
(* l (- (PI) (/ (PI) (* F F))))

rewrite255.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
4954×*-lowering-*.f32
4954×*-lowering-*.f64
2374×/-lowering-/.f32
2374×/-lowering-/.f64
1110×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030115
1154109
2968108
08577108
Stop Event
1×iter limit
1×node limit
Counts
17 → 1013
Calls
Call 1
Inputs
(cbrt (* (PI) (* (PI) (PI))))
(- (* (PI) l) (/ (/ (tan (* (cbrt (* (PI) (* (PI) (PI)))) l)) F) F))
(* (PI) l)
(PI)
(* l (- (PI) (/ (PI) (* F F))))
(- (PI) (/ (PI) (* F F)))
(/ (PI) (* F F))
(- (* (PI) l) (* (/ (PI) F) (/ l F)))
(* (/ (PI) F) (/ l F))
(- (* (PI) l) (/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F))
(/ (/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F) F)
(* l (cbrt (* (PI) (* (PI) (PI)))))
(* (PI) (* (PI) (PI)))
(tan (* (cbrt (* (PI) (* (PI) (PI)))) l))
(/ (PI) F)
(/ (* l (+ (PI) (* l (* l (* (* (PI) (* (PI) (PI))) 1/3))))) F)
(* (* (PI) (* (PI) (PI))) 1/3)
Outputs
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (PI.f64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(fabs.f64 (PI.f64))
(-.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (PI.f64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(expm1.f64 (log1p.f64 (PI.f64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/6 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (log.f64 (exp.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (cbrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64)))
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(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal -1 binary64)) (/.f64 (cbrt.f64 (PI.f64)) F))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (PI.f64)) F))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(+.f64 (/.f64 (PI.f64) (/.f64 F l)) (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 l l))))
(+.f64 (/.f64 (PI.f64) (/.f64 F l)) (*.f64 (*.f64 (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 l l)) (/.f64 #s(literal 1 binary64) F)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 l l))) (/.f64 (PI.f64) (/.f64 F l)))
(+.f64 (*.f64 (*.f64 (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 l l)) (/.f64 #s(literal 1 binary64) F)) (/.f64 (PI.f64) (/.f64 F l)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 F l) (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (/.f64 F l))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) F)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (/.f64 F l))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (/.f64 F l))))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (/.f64 F l))) #s(literal 1 binary64)))
(/.f64 l (/.f64 F (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
(/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (/.f64 F 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))))) F)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 F l) (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
(/.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (-.f64 #s(literal 0 binary64) l)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) l) (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (/.f64 F l))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (-.f64 #s(literal 0 binary64) l))) (-.f64 #s(literal 0 binary64) F))
(/.f64 (*.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) #s(literal 1 binary64)) (/.f64 F l))
(/.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 F l)))
(/.f64 (/.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (-.f64 #s(literal 0 binary64) l)) #s(literal -1 binary64)) F)
(pow.f64 (/.f64 (/.f64 F l) (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) #s(literal -1 binary64))
(*.f64 l (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) F))
(*.f64 l (*.f64 (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) F) #s(literal 1 binary64)))
(*.f64 (/.f64 l F) (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))))
(*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (/.f64 l F))
(*.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 #s(literal 1 binary64) F))
(*.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 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (/.f64 F l)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (/.f64 F l)))
(*.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (-.f64 #s(literal 0 binary64) l)) (/.f64 #s(literal -1 binary64) F))
(*.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (-.f64 #s(literal 0 binary64) l)) (*.f64 (/.f64 #s(literal -1 binary64) F) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) l) (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (-.f64 #s(literal 0 binary64) F)))
(*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
(*.f64 (/.f64 #s(literal 1 binary64) F) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) F) l)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (/.f64 F l))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (/.f64 l (-.f64 #s(literal 0 binary64) F)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (-.f64 #s(literal 0 binary64) l))) (/.f64 #s(literal -1 binary64) F))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (/.f64 l F))
(*.f64 (*.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) #s(literal 1 binary64)) (/.f64 l F))
(*.f64 (/.f64 l #s(literal -1 binary64)) (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (-.f64 #s(literal 0 binary64) F)))
(*.f64 (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) #s(literal -1 binary64)) (/.f64 l (-.f64 #s(literal 0 binary64) F)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) l) #s(literal -1 binary64)) (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) F))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) #s(literal -1 binary64)) (/.f64 l F))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) l)
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/3 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (PI.f64) #s(literal 1/3 binary64))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/3 binary64))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 5/2 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (PI.f64))) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) (cbrt.f64 (PI.f64))) (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 4/3 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (sqrt.f64 (PI.f64)))

simplify309.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
4780×*-lowering-*.f32
4780×*-lowering-*.f64
3210×+-lowering-+.f64
3210×+-lowering-+.f32
2184×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02022942
16522546
224742442
081422442
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
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))))
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(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) (PI.f64)) (/.f64 l F))
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) F)
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) (PI.f64)) (/.f64 l F))
(/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) F)
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) (PI.f64)) (/.f64 l F))

eval408.0ms (1.9%)

Compiler

Compiled 59755 to 9386 computations (84.3% saved)

prune612.0ms (2.9%)

Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New2773102783
Fresh5510
Picked235
Done022
Total2780202800
Accuracy
100.0%
Counts
2800 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.3%
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) (PI.f64)) (/.f64 l F)) (neg.f64 F))
▶75.4%
(-.f64 (*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
✓58.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F))
74.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
74.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
74.5%
(-.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)))))
▶74.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
✓75.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
68.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) l))))
✓74.7%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
▶28.3%
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 l (/.f64 (PI.f64) F)) F))
71.5%
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) l)))
71.5%
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l)))
69.4%
(*.f64 (-.f64 l (/.f64 l (*.f64 F F))) (PI.f64))
18.1%
(*.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
▶68.4%
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
▶53.9%
(*.f64 l (-.f64 (PI.f64) (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (*.f64 F F))))
25.8%
(*.f64 l (*.f64 (*.f64 l l) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 l l)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))) (/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) F))))
✓71.1%
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓71.7%
(*.f64 l (PI.f64))
Compiler

Compiled 577 to 366 computations (36.6% saved)

simplify158.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (+.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) (/.f64 (+.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 l (-.f64 (PI.f64) (/.f64 (+.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 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64))))
✓cost-diff128
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
✓cost-diff0
(/.f64 (PI.f64) F)
✓cost-diff0
(*.f64 l (/.f64 (PI.f64) F))
✓cost-diff0
(/.f64 (*.f64 l (/.f64 (PI.f64) F)) F)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 l (/.f64 (PI.f64) 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 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
✓cost-diff0
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
✓cost-diff0
(*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
✓cost-diff0
(-.f64 (*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
Rules
3220×*-lowering-*.f32
3220×*-lowering-*.f64
1840×sum5-define
1186×fnmadd-define
1150×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03921474836659
19621474836655
224221474836655
364921474836655
4157021474836655
5391321474836653
08151222
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (* (* (* l (pow (PI) 2/3)) (pow (PI) 1/6)) (pow (PI) 1/6)) (/ (tan (* (PI) l)) (* F F)))
(* (* (* l (pow (PI) 2/3)) (pow (PI) 1/6)) (pow (PI) 1/6))
(* (* l (pow (PI) 2/3)) (pow (PI) 1/6))
(* l (pow (PI) 2/3))
l
(pow (PI) 2/3)
(PI)
2/3
(pow (PI) 1/6)
1/6
(/ (tan (* (PI) l)) (* F F))
(tan (* (PI) l))
(* (PI) l)
(* F F)
F
(* l (- (PI) (/ (/ (PI) F) F)))
l
(- (PI) (/ (/ (PI) F) F))
(PI)
(/ (/ (PI) F) F)
(/ (PI) F)
F
(- 0 (/ (* l (/ (PI) F)) F))
0
(/ (* l (/ (PI) F)) F)
(* l (/ (PI) F))
l
(/ (PI) F)
(PI)
F
(- (* (PI) l) (/ (/ 1 F) (/ F (* l (PI)))))
(* (PI) l)
(PI)
l
(/ (/ 1 F) (/ F (* l (PI))))
(/ 1 F)
1
F
(/ F (* l (PI)))
(* l (PI))
(* l (- (PI) (/ (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))) (* F F))))
l
(- (PI) (/ (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))) (* F F)))
(PI)
(/ (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))) (* F F))
(+ (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
Outputs
(- (* (* (* l (pow (PI) 2/3)) (pow (PI) 1/6)) (pow (PI) 1/6)) (/ (tan (* (PI) l)) (* F F)))
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 1/6 binary64))))) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(* (* (* l (pow (PI) 2/3)) (pow (PI) 1/6)) (pow (PI) 1/6))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 1/6 binary64)))))
(* (* l (pow (PI) 2/3)) (pow (PI) 1/6))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(* l (pow (PI) 2/3))
(*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
l
(pow (PI) 2/3)
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
(PI)
(PI.f64)
2/3
#s(literal 2/3 binary64)
(pow (PI) 1/6)
(pow.f64 (PI.f64) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(/ (tan (* (PI) l)) (* F F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(tan (* (PI) l))
(tan.f64 (*.f64 l (PI.f64)))
(* (PI) l)
(*.f64 l (PI.f64))
(* F F)
(*.f64 F F)
F
(* l (- (PI) (/ (/ (PI) F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
l
(- (PI) (/ (/ (PI) F) F))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI)
(PI.f64)
(/ (/ (PI) F) F)
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) F)
(/.f64 (PI.f64) F)
F
(- 0 (/ (* l (/ (PI) F)) F))
(-.f64 #s(literal 0 binary64) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
0
#s(literal 0 binary64)
(/ (* l (/ (PI) F)) F)
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(* l (/ (PI) F))
(/.f64 l (/.f64 F (PI.f64)))
l
(/ (PI) F)
(/.f64 (PI.f64) F)
(PI)
(PI.f64)
F
(- (* (PI) l) (/ (/ 1 F) (/ F (* l (PI)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* (PI) l)
(*.f64 l (PI.f64))
(PI)
(PI.f64)
l
(/ (/ 1 F) (/ F (* l (PI))))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(/ 1 F)
(/.f64 #s(literal 1 binary64) F)
1
#s(literal 1 binary64)
F
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(* l (PI))
(*.f64 l (PI.f64))
(* l (- (PI) (/ (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))) (* F F))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64))) (/.f64 (*.f64 F F) (PI.f64)))))
l
(- (PI) (/ (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))) (* F F)))
(+.f64 (PI.f64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64))) (/.f64 (*.f64 F F) (PI.f64))))
(PI)
(PI.f64)
(/ (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))) (* F F))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64)))))) (/.f64 (*.f64 F F) (PI.f64)))
(+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l))))
(*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64)))))))
(* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64))))))
(* (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

localize560.0ms (2.6%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(*.f64 #s(literal 1/3 binary64) (*.f64 l l))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy93.5%
(*.f64 l (-.f64 (PI.f64) (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (*.f64 F F))))
✓accuracy86.9%
(/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (*.f64 F F))
✓accuracy99.6%
(*.f64 (PI.f64) l)
✓accuracy99.6%
(*.f64 l (PI.f64))
✓accuracy99.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
✓accuracy99.4%
(/.f64 F (*.f64 l (PI.f64)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(/.f64 (*.f64 l (/.f64 (PI.f64) F)) F)
✓accuracy99.7%
(/.f64 (PI.f64) F)
✓accuracy99.3%
(*.f64 l (/.f64 (PI.f64) 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)
✓accuracy93.5%
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
✓accuracy99.5%
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
✓accuracy99.4%
(*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
✓accuracy83.4%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
✓accuracy53.9%
(tan.f64 (*.f64 (PI.f64) l))
Results
160.0ms72×1valid
151.0ms41×2valid
88.0ms134×0valid
53.0ms9×3valid
Compiler

Compiled 280 to 40 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 300.0ms
ival-tan: 150.0ms (50% of total)
ival-mult: 42.0ms (14% of total)
ival-div: 26.0ms (8.7% of total)
ival-pow: 26.0ms (8.7% of total)
...c/correct-round.rkt:119:19: 20.0ms (6.7% of total)
backward-pass: 20.0ms (6.7% of total)
ival-sub: 10.0ms (3.3% of total)
ival-pi: 2.0ms (0.7% of total)
ival-add: 2.0ms (0.7% of total)
const: 1.0ms (0.3% of total)

series78.0ms (0.4%)

Counts
24 → 408
Calls
Call 1
Inputs
#<alt (- (* (* (* l (pow (PI) 2/3)) (pow (PI) 1/6)) (pow (PI) 1/6)) (/ (tan (* (PI) l)) (* F F)))>
#<alt (* (* (* l (pow (PI) 2/3)) (pow (PI) 1/6)) (pow (PI) 1/6))>
#<alt (* (* l (pow (PI) 2/3)) (pow (PI) 1/6))>
#<alt (* l (pow (PI) 2/3))>
#<alt (* l (- (PI) (/ (/ (PI) F) F)))>
#<alt (- (PI) (/ (/ (PI) F) F))>
#<alt (PI)>
#<alt (/ (/ (PI) F) F)>
#<alt (- 0 (/ (* l (/ (PI) F)) F))>
#<alt (/ (* l (/ (PI) F)) F)>
#<alt (* l (/ (PI) F))>
#<alt (/ (PI) F)>
#<alt (- (* (PI) l) (/ (/ 1 F) (/ F (* l (PI)))))>
#<alt (/ (/ 1 F) (/ F (* l (PI))))>
#<alt (* (PI) l)>
#<alt (* l (- (PI) (/ (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))) (* F F))))>
#<alt (- (PI) (/ (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))) (* F F)))>
#<alt (/ (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))) (* F F))>
#<alt (tan (* (PI) l))>
#<alt (/ (tan (* (PI) l)) (* F F))>
#<alt (/ F (* l (PI)))>
#<alt (* l (PI))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (* 1/3 (* l 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)))>
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#<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 (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* 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 (* 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))>
Calls

102 calls:

TimeVariablePointExpression
53.0ms
l
@0
(* (* l (pow (PI) 2/3)) (pow (PI) 1/6))
3.0ms
l
@0
(- (PI) (/ (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))) (* F F)))
2.0ms
l
@0
(* l (pow (PI) 2/3))
1.0ms
l
@0
(* (* (* l (pow (PI) 2/3)) (pow (PI) 1/6)) (pow (PI) 1/6))
1.0ms
l
@inf
(- (* (* (* l (pow (PI) 2/3)) (pow (PI) 1/6)) (pow (PI) 1/6)) (/ (tan (* (PI) l)) (* F F)))

rewrite315.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
4250×*-lowering-*.f32
4250×*-lowering-*.f64
2136×/-lowering-/.f32
2136×/-lowering-/.f64
1662×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039207
1174174
2990148
37144148
08699148
Stop Event
1×iter limit
1×node limit
Counts
24 → 1231
Calls
Call 1
Inputs
(- (* (* (* l (pow (PI) 2/3)) (pow (PI) 1/6)) (pow (PI) 1/6)) (/ (tan (* (PI) l)) (* F F)))
(* (* (* l (pow (PI) 2/3)) (pow (PI) 1/6)) (pow (PI) 1/6))
(* (* l (pow (PI) 2/3)) (pow (PI) 1/6))
(* l (pow (PI) 2/3))
(* l (- (PI) (/ (/ (PI) F) F)))
(- (PI) (/ (/ (PI) F) F))
(PI)
(/ (/ (PI) F) F)
(- 0 (/ (* l (/ (PI) F)) F))
(/ (* l (/ (PI) F)) F)
(* l (/ (PI) F))
(/ (PI) F)
(- (* (PI) l) (/ (/ 1 F) (/ F (* l (PI)))))
(/ (/ 1 F) (/ F (* l (PI))))
(* (PI) l)
(* l (- (PI) (/ (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))) (* F F))))
(- (PI) (/ (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))) (* F F)))
(/ (+ (PI) (* (* (PI) (* (PI) (PI))) (* 1/3 (* l l)))) (* F F))
(tan (* (PI) l))
(/ (tan (* (PI) l)) (* F F))
(/ F (* l (PI)))
(* l (PI))
(* (PI) (* (PI) (PI)))
(* 1/3 (* l l))
Outputs
(+.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal -1 binary64) F) F)))
(+.f64 (*.f64 l (PI.f64)) (+.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal -1 binary64) F) F)) (+.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal -1 binary64) F) F)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)))))
(+.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal -1 binary64) F) F)) (*.f64 l (PI.f64)))
(+.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal -1 binary64) F) F)) (+.f64 (*.f64 l (PI.f64)) (+.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal -1 binary64) F) F)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)))))
(+.f64 (+.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal -1 binary64) F) F)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))) (-.f64 (*.f64 l (PI.f64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))))
(+.f64 (-.f64 (*.f64 l (PI.f64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))) (+.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal -1 binary64) F) F)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))))
(+.f64 (-.f64 (*.f64 l (PI.f64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))) (fma.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal -1 binary64) F) F)) #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))))
(+.f64 (-.f64 (*.f64 l (PI.f64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 l (PI.f64)))) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))))
(+.f64 (-.f64 (*.f64 l (PI.f64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))) (fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 l (PI.f64)))) (/.f64 (/.f64 #s(literal 1 binary64) F) F) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))))
(+.f64 (-.f64 (*.f64 l (PI.f64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))) (fma.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))))
(+.f64 (-.f64 (*.f64 l (PI.f64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))) (+.f64 (+.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal -1 binary64) F) F)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))) (+.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal -1 binary64) F) F)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(-.f64 (*.f64 l (PI.f64)) (-.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (+.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal -1 binary64) F) F)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)))))
(-.f64 (+.f64 (*.f64 l (PI.f64)) #s(literal 0 binary64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(fma.f64 l (PI.f64) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal -1 binary64) F) F)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 5/6 binary64))) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal -1 binary64) F) F)))
(fma.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 5/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal -1 binary64) F) F)))
(fma.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal -1 binary64) F) F) (*.f64 l (PI.f64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)) (*.f64 l (PI.f64)))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal -1 binary64) F) F)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 l (cbrt.f64 (PI.f64))) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal -1 binary64) F) F)))
(fma.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 l (PI.f64)))) (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (PI.f64)))
(fma.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal -1 binary64) F) F)))
(fma.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 #s(literal -1 binary64) F) F)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 l (PI.f64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 l (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(/.f64 (*.f64 l (PI.f64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 l (PI.f64))) #s(literal -1 binary64))
(*.f64 l (PI.f64))
(*.f64 l (/.f64 (PI.f64) #s(literal 1 binary64)))
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) (neg.f64 (-.f64 #s(literal 0 binary64) l)))
(*.f64 (PI.f64) (/.f64 l #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 5/6 binary64))))
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 5/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 l (PI.f64)))
(*.f64 (*.f64 l (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 l (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 l (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 l (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (*.f64 l (cbrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 l (cbrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 l (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 l (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) l))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/18 binary64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 5/6 binary64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 5/6 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4/3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (*.f64 l (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 l (sqrt.f64 (PI.f64)))))
(*.f64 (-.f64 #s(literal 0 binary64) l) (-.f64 #s(literal 0 binary64) (PI.f64)))
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)))
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (pow.f64 (PI.f64) #s(literal 5/6 binary64)))
(*.f64 (*.f64 l (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) l)) (PI.f64))
(*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 5/6 binary64))) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 5/6 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 5/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/12 binary64))) (pow.f64 (PI.f64) #s(literal 1/12 binary64)))
(*.f64 l (pow.f64 (PI.f64) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 l (pow.f64 (PI.f64) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 l (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) l)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/18 binary64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4/3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/9 binary64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 1/6 binary64)))))
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/12 binary64))) (pow.f64 (PI.f64) #s(literal 1/12 binary64)))
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(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64))))
(*.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 4/3 binary64)))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 l (*.f64 l #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 l l))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(*.f64 (*.f64 l #s(literal 1/3 binary64)) l)

simplify369.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
4436×*-lowering-*.f32
4436×*-lowering-*.f64
3966×+-lowering-+.f64
3966×+-lowering-+.f32
1202×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02184336
16933722
225803549
081473549
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
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(* -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))
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(* (pow (* 1 (pow (PI) 5)) 1/6) l)
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(* (pow (* 1 (pow (PI) 5)) 1/6) l)
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(/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))
(/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))
(/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))
(/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))
(/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))
(/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))
(/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))
(/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))
(* l (PI))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (* l (PI)) (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)))))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* 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))
Outputs
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64))))) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (-.f64 (*.f64 l (*.f64 l (+.f64 (*.f64 l (*.f64 l (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 F F))))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F))))) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (PI.f64) (-.f64 (*.f64 (*.f64 l l) (+.f64 (*.f64 l (*.f64 l (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 F F))) (*.f64 (*.f64 l l) (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F F)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (*.f64 F F)))))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64))))))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)))) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))) (cos.f64 (*.f64 l (PI.f64))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))) (cos.f64 (*.f64 l (PI.f64))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (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))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* (pow (* 1 (pow (PI) 5)) 1/6) l)
(*.f64 l (pow.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/6 binary64)))
(* (pow (* 1 (pow (PI) 5)) 1/6) l)
(*.f64 l (pow.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/6 binary64)))
(* (pow (* 1 (pow (PI) 5)) 1/6) l)
(*.f64 l (pow.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/6 binary64)))
(* (pow (* 1 (pow (PI) 5)) 1/6) l)
(*.f64 l (pow.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/6 binary64)))
(* (pow (* 1 (pow (PI) 5)) 1/6) l)
(*.f64 l (pow.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/6 binary64)))
(* (pow (* 1 (pow (PI) 5)) 1/6) l)
(*.f64 l (pow.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/6 binary64)))
(* (pow (* 1 (pow (PI) 5)) 1/6) l)
(*.f64 l (pow.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/6 binary64)))
(* (pow (* 1 (pow (PI) 5)) 1/6) l)
(*.f64 l (pow.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/6 binary64)))
(* (pow (* 1 (pow (PI) 5)) 1/6) l)
(*.f64 l (pow.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/6 binary64)))
(* (pow (* 1 (pow (PI) 5)) 1/6) l)
(*.f64 l (pow.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/6 binary64)))
(* (pow (* 1 (pow (PI) 5)) 1/6) l)
(*.f64 l (pow.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/6 binary64)))
(* (pow (* 1 (pow (PI) 5)) 1/6) l)
(*.f64 l (pow.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/6 binary64)))
(* l (cbrt (pow (PI) 2)))
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(* l (cbrt (pow (PI) 2)))
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(* l (cbrt (pow (PI) 2)))
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(* l (cbrt (pow (PI) 2)))
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(* l (cbrt (pow (PI) 2)))
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(* l (cbrt (pow (PI) 2)))
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(* l (cbrt (pow (PI) 2)))
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(* l (cbrt (pow (PI) 2)))
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(* l (cbrt (pow (PI) 2)))
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(* l (cbrt (pow (PI) 2)))
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(* l (cbrt (pow (PI) 2)))
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(* l (cbrt (pow (PI) 2)))
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
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(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
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(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
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(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(*.f64 l (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (*.f64 F F))))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
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(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
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(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
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(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
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(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
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(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
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(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (/ (PI) (pow F 2)))
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(/.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))))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (*.f64 F F))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (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) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 F F)))))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (+.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 (*.f64 l l) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (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) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 F F)) (*.f64 (*.f64 l l) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F F)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (*.f64 F F)))))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64)))))))))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* 1/3 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(* 1/3 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(* 1/3 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(* 1/3 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(* 1/3 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(* 1/3 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(* 1/3 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(* 1/3 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(* 1/3 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(* 1/3 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(* 1/3 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(* 1/3 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))

eval500.0ms (2.4%)

Compiler

Compiled 54837 to 7624 computations (86.1% saved)

prune679.0ms (3.2%)

Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New2719142733
Fresh7310
Picked325
Done145
Total2730232753
Accuracy
100.0%
Counts
2753 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.9%
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 F F))
19.1%
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
28.2%
(/.f64 #s(literal -1 binary64) (/.f64 F (/.f64 l (/.f64 F (PI.f64)))))
74.2%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64)))) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
74.1%
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 5/6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
✓58.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F))
74.5%
(-.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)))))
✓75.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
28.2%
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal 1 binary64) l)) F))
28.3%
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
28.3%
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
71.5%
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) l)))
71.5%
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l)))
28.3%
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
20.0%
(*.f64 (*.f64 l (*.f64 l l)) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (/.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 l l))))
23.0%
(*.f64 (neg.f64 (/.f64 l (*.f64 F F))) (PI.f64))
28.3%
(*.f64 (PI.f64) (/.f64 (/.f64 l F) (-.f64 #s(literal 0 binary64) F)))
22.1%
(*.f64 l (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64))))) (*.f64 F F)))
✓68.4%
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
✓53.9%
(*.f64 l (-.f64 (PI.f64) (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (*.f64 F F))))
✓71.1%
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓71.7%
(*.f64 l (PI.f64))
23.0%
(neg.f64 (/.f64 l (/.f64 F (/.f64 (PI.f64) F))))
Compiler

Compiled 1106 to 426 computations (61.5% saved)

regimes115.0ms (0.5%)

Counts
52 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(neg.f64 (/.f64 l (/.f64 F (/.f64 (PI.f64) F))))
(*.f64 (neg.f64 (/.f64 l (*.f64 F F))) (PI.f64))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) (-.f64 #s(literal 0 binary64) F)))
(*.f64 (-.f64 l (/.f64 l (*.f64 F F))) (PI.f64))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(/.f64 #s(literal -1 binary64) (/.f64 F (/.f64 l (/.f64 F (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal 1 binary64) l)) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) l))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64)))) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
(*.f64 l (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64))))) (*.f64 F F)))
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 F F))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) (PI.f64)) (/.f64 l F)) (neg.f64 F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F))
(*.f64 l (+.f64 (PI.f64) (-.f64 (/.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64))) (*.f64 F F)) (/.f64 (PI.f64) (*.f64 F F)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) F)) (/.f64 (PI.f64) F))) F))
(*.f64 (*.f64 l (*.f64 l l)) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (/.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 l l))))
(*.f64 l (*.f64 (*.f64 l l) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 l l)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))) (/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) F))))
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l)) F) F))
(-.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F))))
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 5/6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 l (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l)))
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 l (sqrt.f64 (PI.f64))))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) l)))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(*.f64 l (PI.f64))
Calls

6 calls:

24.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
24.0ms
F
20.0ms
(*.f64 (PI.f64) l)
14.0ms
l
14.0ms
(/.f64 #s(literal 1 binary64) (*.f64 F F))
Results
AccuracySegmentsBranch
82.9%2F
99.6%2l
89.6%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)
80.8%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
80.8%1(*.f64 F F)
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes44.0ms (0.2%)

Counts
36 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(neg.f64 (/.f64 l (/.f64 F (/.f64 (PI.f64) F))))
(*.f64 (neg.f64 (/.f64 l (*.f64 F F))) (PI.f64))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) (-.f64 #s(literal 0 binary64) F)))
(*.f64 (-.f64 l (/.f64 l (*.f64 F F))) (PI.f64))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(/.f64 #s(literal -1 binary64) (/.f64 F (/.f64 l (/.f64 F (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal 1 binary64) l)) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) l))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64)))) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
(*.f64 l (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64))))) (*.f64 F F)))
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 F F))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) (PI.f64)) (/.f64 l F)) (neg.f64 F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F))
(*.f64 l (+.f64 (PI.f64) (-.f64 (/.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64))) (*.f64 F F)) (/.f64 (PI.f64) (*.f64 F F)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) F)) (/.f64 (PI.f64) F))) F))
(*.f64 (*.f64 l (*.f64 l l)) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (/.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 l l))))
(*.f64 l (*.f64 (*.f64 l l) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) (*.f64 l l)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))) (/.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) F))))
(*.f64 l (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) F)) (/.f64 (PI.f64) F))) F))
(*.f64 l (PI.f64))
Calls

2 calls:

31.0ms
(*.f64 (PI.f64) l)
10.0ms
l
Results
AccuracySegmentsBranch
98.6%2l
98.6%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes32.0ms (0.2%)

Counts
31 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(neg.f64 (/.f64 l (/.f64 F (/.f64 (PI.f64) F))))
(*.f64 (neg.f64 (/.f64 l (*.f64 F F))) (PI.f64))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) (-.f64 #s(literal 0 binary64) F)))
(*.f64 (-.f64 l (/.f64 l (*.f64 F F))) (PI.f64))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(/.f64 #s(literal -1 binary64) (/.f64 F (/.f64 l (/.f64 F (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal 1 binary64) l)) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) l))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64)))) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
(*.f64 l (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64))))) (*.f64 F F)))
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 F F))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) (PI.f64)) (/.f64 l F)) (neg.f64 F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F))
(*.f64 l (+.f64 (PI.f64) (-.f64 (/.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64))) (*.f64 F F)) (/.f64 (PI.f64) (*.f64 F F)))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F))
(*.f64 l (PI.f64))
Calls

2 calls:

20.0ms
(*.f64 (PI.f64) l)
9.0ms
l
Results
AccuracySegmentsBranch
98.5%2l
98.5%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes31.0ms (0.1%)

Counts
29 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(neg.f64 (/.f64 l (/.f64 F (/.f64 (PI.f64) F))))
(*.f64 (neg.f64 (/.f64 l (*.f64 F F))) (PI.f64))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) (-.f64 #s(literal 0 binary64) F)))
(*.f64 (-.f64 l (/.f64 l (*.f64 F F))) (PI.f64))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(/.f64 #s(literal -1 binary64) (/.f64 F (/.f64 l (/.f64 F (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal 1 binary64) l)) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) l))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64)))) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
(*.f64 l (/.f64 (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64))))) (*.f64 F F)))
(/.f64 (*.f64 l (*.f64 (PI.f64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 F F))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) (PI.f64)) (/.f64 l F)) (neg.f64 F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (*.f64 F F)))
Outputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 l (PI.f64))
Calls

2 calls:

20.0ms
(*.f64 (PI.f64) l)
8.0ms
l
Results
AccuracySegmentsBranch
98.4%2l
98.4%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes17.0ms (0.1%)

Counts
15 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(neg.f64 (/.f64 l (/.f64 F (/.f64 (PI.f64) F))))
(*.f64 (neg.f64 (/.f64 l (*.f64 F F))) (PI.f64))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) (-.f64 #s(literal 0 binary64) F)))
(*.f64 (-.f64 l (/.f64 l (*.f64 F F))) (PI.f64))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(/.f64 #s(literal -1 binary64) (/.f64 F (/.f64 l (/.f64 F (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal 1 binary64) l)) F))
Outputs
(*.f64 (-.f64 l (/.f64 l (*.f64 F F))) (PI.f64))
(*.f64 l (PI.f64))
Calls

1 calls:

16.0ms
l
Results
AccuracySegmentsBranch
93.1%2l
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(neg.f64 (/.f64 l (/.f64 F (/.f64 (PI.f64) F))))
(*.f64 (neg.f64 (/.f64 l (*.f64 F F))) (PI.f64))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(*.f64 (PI.f64) (/.f64 (/.f64 l F) (-.f64 #s(literal 0 binary64) 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
92.2%2l
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(neg.f64 (/.f64 l (/.f64 F (/.f64 (PI.f64) F))))
(*.f64 (neg.f64 (/.f64 l (*.f64 F F))) (PI.f64))
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
Outputs
(*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F)))
(*.f64 l (PI.f64))
Calls

3 calls:

2.0ms
l
2.0ms
F
2.0ms
(*.f64 F F)
Results
AccuracySegmentsBranch
74.8%2(*.f64 F F)
77.1%3F
75.8%2l
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0%)

Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(neg.f64 (/.f64 l (/.f64 F (/.f64 (PI.f64) F))))
(*.f64 (neg.f64 (/.f64 l (*.f64 F F))) (PI.f64))
Outputs
(*.f64 l (PI.f64))
(neg.f64 (/.f64 l (/.f64 F (/.f64 (PI.f64) F))))
(*.f64 l (PI.f64))
Calls

3 calls:

3.0ms
(*.f64 F F)
2.0ms
F
2.0ms
l
Results
AccuracySegmentsBranch
75.5%3(*.f64 F F)
75.5%3F
73.7%2l
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

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

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5978503.345998582
1161719846.09944
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.019680885945509763
839422.6998935065
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.019680885945509763
839422.6998935065
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.019680885945509763
839422.6998935065
Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch28.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
26.0ms
0.006264620565311378
267196.5440631923
Results
15.0ms144×0valid
Compiler

Compiled 183 to 131 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-tan: 4.0ms (39.7% of total)
ival-mult: 3.0ms (29.8% of total)
ival-pi: 1.0ms (9.9% of total)
ival-div: 1.0ms (9.9% of total)
ival-sub: 1.0ms (9.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
25.0ms
0.006264620565311378
267196.5440631923
Results
15.0ms144×0valid
Compiler

Compiled 183 to 131 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-tan: 4.0ms (39.6% of total)
ival-mult: 3.0ms (29.7% of total)
ival-pi: 1.0ms (9.9% of total)
ival-div: 1.0ms (9.9% of total)
ival-sub: 1.0ms (9.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
8.401422535045131e-23
2.5987123352977086e-21
Results
9.0ms112×0valid
Compiler

Compiled 140 to 105 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (38.9% of total)
ival-div: 1.0ms (19.4% of total)
ival-sub: 1.0ms (19.4% of total)
ival-tan: 1.0ms (19.4% of total)
ival-pi: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch72.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
63.0ms
5.805223014879045e-97
1.8043371882081283e-95
7.0ms
7.102435119429976e-161
7.97380683133719e-161
Results
53.0ms68×1valid
10.0ms60×0valid
Compiler

Compiled 157 to 118 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-tan: 42.0ms (82.4% of total)
ival-mult: 4.0ms (7.8% of total)
ival-div: 2.0ms (3.9% of total)
ival-pi: 1.0ms (2% of total)
ival-sub: 1.0ms (2% of total)
backward-pass: 1.0ms (2% of total)
const: 0.0ms (0% of total)

simplify22.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
84×*-commutative_binary64
76×+-commutative_binary64
72×sub-neg_binary64
60×neg-sub0_binary64
60×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064177
1119177
2169177
3214177
4248177
5274177
6299177
7321177
8337177
9347177
10351177
11352177
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 10000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5764607523034235/288230376151711744 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) F)) (/.f64 (PI.f64) F))) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5764607523034235/288230376151711744 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5764607523034235/288230376151711744 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 1/2 binary64)) (*.f64 (-.f64 l (/.f64 l (*.f64 F F))) (PI.f64)) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 1/2 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 3934514867523351/10633823966279326983230456482242756608 binary64)) (*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F))) (*.f64 l (PI.f64)))
(if (<=.f64 F #s(literal 2406030145530361/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (*.f64 l (PI.f64)) (if (<=.f64 F #s(literal 8657667377137459/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (neg.f64 (/.f64 l (/.f64 F (/.f64 (PI.f64) F)))) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
Outputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 10000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 10000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5764607523034235/288230376151711744 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) F)) (/.f64 (PI.f64) F))) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5764607523034235/288230376151711744 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (+.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) F)) (/.f64 (PI.f64) F))) F)) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5764607523034235/288230376151711744 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5764607523034235/288230376151711744 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (+.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))))) F) F)) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5764607523034235/288230376151711744 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 5764607523034235/288230376151711744 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 (PI.f64) l))
(if (<=.f64 l #s(literal 1/2 binary64)) (*.f64 (-.f64 l (/.f64 l (*.f64 F F))) (PI.f64)) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 1/2 binary64)) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) l))
(if (<=.f64 l #s(literal 1/2 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 1/2 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (PI.f64) l))
(if (<=.f64 l #s(literal 3934514867523351/10633823966279326983230456482242756608 binary64)) (*.f64 (/.f64 (PI.f64) F) (neg.f64 (/.f64 l F))) (*.f64 l (PI.f64)))
(if (<=.f64 l #s(literal 3934514867523351/10633823966279326983230456482242756608 binary64)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l (-.f64 #s(literal 0 binary64) F))) (*.f64 (PI.f64) l))
(if (<=.f64 F #s(literal 2406030145530361/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (*.f64 l (PI.f64)) (if (<=.f64 F #s(literal 8657667377137459/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (neg.f64 (/.f64 l (/.f64 F (/.f64 (PI.f64) F)))) (*.f64 l (PI.f64))))
(if (<=.f64 F #s(literal 2406030145530361/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (*.f64 (PI.f64) l) (if (<=.f64 F #s(literal 8657667377137459/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (/.f64 l (/.f64 F (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) F)))) (*.f64 (PI.f64) l)))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

soundness3.5s (16.7%)

Rules
5744×*-lowering-*.f32
5744×*-lowering-*.f64
5466×*-lowering-*.f32
5466×*-lowering-*.f64
4780×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02495
114093
275592
3565592
0829492
02022942
16522546
224742442
081422442
01245
17545
235145
3313545
0815445
01492431
14702071
217581867
081261867
039207
1174174
2990148
37144148
08699148
02004345
16563752
223073457
084673457
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 426 to 228 computations (46.5% saved)

preprocess120.0ms (0.6%)

Remove

(abs F)

Compiler

Compiled 674 to 282 computations (58.2% saved)

end0.0ms (0%)

Profiling

Loading profile data...