VandenBroeck and Keller, Equation (6)

Time bar (total: 7.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze221.0ms (3.1%)

Memory
-2.9MiB live, 263.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
21.9%21.9%78%0.1%0%0%0%7
23.4%23.4%76.5%0.1%0%0%0%8
35.2%35.1%64.8%0.1%0%0%0%9
36.3%36.3%63.6%0.1%0%0%0%10
42.4%42.3%57.6%0.1%0%0%0%11
43.1%43%56.9%0.1%0%0%0%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample998.0ms (13.8%)

Memory
47.1MiB live, 1 038.6MiB allocated
Samples
665.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 475.0ms
ival-tanu: 184.0ms (38.7% of total)
ival-mult: 149.0ms (31.4% of total)
ival-div: 54.0ms (11.4% of total)
ival-sub: 38.0ms (8% of total)
ival-pi: 35.0ms (7.4% of total)
ival-true: 7.0ms (1.5% of total)
exact: 6.0ms (1.3% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain151.0ms (2.1%)

Memory
-4.6MiB live, 201.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1330-0-(tan.f64 (*.f64 (PI.f64) l))
370-0-(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
11(4.146130733699406e+161 2.3798039705732114e-19)0-(/.f64 #s(literal 1 binary64) (*.f64 F F))
00-0-(*.f64 (PI.f64) l)
00-0-#s(literal 1 binary64)
00-0-(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
00-0-(*.f64 F F)
00-0-l
00-0-F
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
tan.f64(tan.f64 (*.f64 (PI.f64) l))sensitivity1330
*.f64(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))n*o90
Confusion
Predicted +Predicted -
+520
-90114
Precision
0.36619718309859156
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5200
-900114
Precision?
0.36619718309859156
Recall?
1.0
Freqs
test
numberfreq
0114
1142
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
46.0ms512×0valid
Compiler

Compiled 104 to 34 computations (67.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-tanu: 11.0ms (37.4% of total)
ival-mult: 9.0ms (30.6% of total)
ival-div: 3.0ms (10.2% of total)
ival-pi: 2.0ms (6.8% of total)
ival-sub: 2.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess67.0ms (0.9%)

Memory
14.7MiB live, 53.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02674
17862
223760
364160
4112460
5151760
6175560
7180860
8181860
01014
01714
13012
26412
314112
421912
533112
640112
748312
859212
966212
1073012
1176612
076612
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
Symmetry

(abs F)

(negabs l)

Compiler

Compiled 14 to 10 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.5%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify29.0ms (0.4%)

Memory
-28.5MiB live, 13.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01043
01743
13039
26439
314139
421939
533139
640139
748339
859239
966239
1073039
1176639
076639
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
(tan.f64 (*.f64 (PI.f64) l))
Outputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(PI.f64)
l
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
(tan.f64 (*.f64 (PI.f64) l))
(tan.f64 (*.f64 l (PI.f64)))

localize39.0ms (0.5%)

Memory
-0.1MiB live, 37.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.22620025878332448
(/.f64 #s(literal 1 binary64) (*.f64 F F))
accuracy0.2265625
(*.f64 (PI.f64) l)
accuracy9.049485904621823
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
accuracy31.35819968020428
(tan.f64 (*.f64 (PI.f64) l))
Samples
32.0ms256×0valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-pi: 10.0ms (42.4% of total)
ival-mult: 5.0ms (21.2% of total)
ival-tanu: 5.0ms (21.2% of total)
ival-div: 2.0ms (8.5% of total)
ival-sub: 1.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
18.4MiB live, 18.4MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())
Outputs
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor inf F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor inf F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor inf F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor inf F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor -inf F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor -inf F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI))) (taylor -inf F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow F 2)) (taylor -inf F) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (PI)) (pow F 2)) (taylor 0 l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (* l (- (PI) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor 0 l) (#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor 0 l) (#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor 0 l) (#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor 0 l) (#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor 0 l) (#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))) (taylor 0 l) (#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 l) (#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 l) (#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor inf l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor inf l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor inf l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor inf l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf l) (#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf l) (#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf l) (#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf l) (#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor inf l) (#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor inf l) (#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor inf l) (#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor inf l) (#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
3.0ms
l
@0
((* (/ 1 (* F F)) (tan (* (PI) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (tan (* (PI) l)) (/ 1 (* F F)))
3.0ms
F
@0
((* (/ 1 (* F F)) (tan (* (PI) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (tan (* (PI) l)) (/ 1 (* F F)))
2.0ms
l
@-inf
((* (/ 1 (* F F)) (tan (* (PI) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (tan (* (PI) l)) (/ 1 (* F F)))
2.0ms
l
@inf
((* (/ 1 (* F F)) (tan (* (PI) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (tan (* (PI) l)) (/ 1 (* F F)))
1.0ms
F
@inf
((* (/ 1 (* F F)) (tan (* (PI) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (tan (* (PI) l)) (/ 1 (* F F)))

simplify248.0ms (3.4%)

Memory
15.9MiB live, 164.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01491433
14321361
214501197
369251158
085231124
Stop Event
iter limit
node limit
Counts
84 → 84
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)))))
(* -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))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (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)))))
(* 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)))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (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)))))
(* 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)))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ (* 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))))
(* 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))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(/ (sin (* l (PI))) (* (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) (* -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))
(* l (PI))
(* l (PI))
(* 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))) (* (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))
(* -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)))))))))
(* l (PI))
(* l (PI))
(* l (PI))
(* 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))))
Outputs
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
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(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
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(* l (PI))
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(/ (* l (PI)) (pow F 2))
(*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
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(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
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(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
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(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
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(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) F) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) l)
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(*.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 #s(literal -1/3 binary64) F) (*.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))) (*.f64 F F))) (*.f64 l l))) (*.f64 l l) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) l)
(* 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 (fma.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 #s(literal -1/3 binary64) F) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))) F)) (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (fma.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F) F) #s(literal -1/840 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) F) (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F)))) (*.f64 l l) (neg.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))) (*.f64 F F)))) (*.f64 l l))) (*.f64 l l) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) l)
(* l (PI))
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(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 l l) (PI.f64)) l)
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(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))) (*.f64 l l))) (*.f64 l l) (PI.f64)) l)
(* 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))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))) (PI.f64))) (PI.f64) (fma.f64 (*.f64 #s(literal -1/72 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal 1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)))))) (*.f64 l l) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64))))) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 (PI.f64) l))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(* l (PI))
(*.f64 (PI.f64) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(* l (PI))
(*.f64 (PI.f64) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))

rewrite145.0ms (2%)

Memory
7.7MiB live, 166.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
01737
17031
246731
3666931
0819131
Stop Event
iter limit
node limit
iter limit
Counts
6 → 308
Calls
Call 1
Inputs
(*.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) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (PI.f64) l)
(PI.f64)
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
Outputs
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eval104.0ms (1.4%)

Memory
-2.1MiB live, 116.9MiB allocated
Compiler

Compiled 11 904 to 1 266 computations (89.4% saved)

prune19.0ms (0.3%)

Memory
5.0MiB live, 43.5MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New46214476
Fresh000
Picked101
Done000
Total46314477
Accuracy
99.6%
Counts
477 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.6%
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 l (fma.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (*.f64 l (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))) #s(literal 2 binary64)) (fma.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (*.f64 l (PI.f64))))))
79.9%
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
80.5%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
80.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))))
80.1%
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
83.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
83.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))))
83.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))
80.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
71.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))))
80.5%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 #s(literal -1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l))))
79.1%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
71.4%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
74.1%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Compiler

Compiled 450 to 318 computations (29.3% saved)

simplify49.0ms (0.7%)

Memory
-21.7MiB live, 16.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
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 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))
cost-diff12864
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))
cost-diff1216
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
cost-diff0
(tan.f64 (*.f64 l (PI.f64)))
cost-diff0
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
cost-diff384
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037230
062201
1111197
2203197
3539197
41084197
51475197
61569197
71621197
81674197
91739197
101747197
111751197
01751197
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
F
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(PI.f64)
l
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (neg.f64 F) F)
(neg.f64 F)
F
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64))))
#s(literal 1 binary64)
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(neg.f64 F)
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
(tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
(fma.f64 l (PI.f64) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(PI.f64)
l
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
F
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(PI.f64)
l
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(fma.f64 l (PI.f64) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(PI.f64)
l
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (neg.f64 F) F)
(neg.f64 F)
F
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))))
(fma.f64 l (PI.f64) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(PI.f64)
l
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))
(/.f64 (neg.f64 F) (tan.f64 (*.f64 l (PI.f64))))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64))))
#s(literal 1 binary64)
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(neg.f64 F)
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
(fma.f64 l (PI.f64) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(PI.f64)
l
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
(tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)
(*.f64 l (PI.f64))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)

localize210.0ms (2.9%)

Memory
10.3MiB live, 167.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.50390625
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
accuracy0.6009971311022587
(tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
accuracy2.1588994334390295
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))
accuracy30.757063688715704
(PI.f64)
accuracy0.1328125
(*.f64 (PI.f64) l)
accuracy0.1328125
(*.f64 l (PI.f64))
accuracy0.6009971311022587
(tan.f64 (*.f64 l (PI.f64)))
accuracy30.757063688715704
(PI.f64)
accuracy0.1328125
(*.f64 l (PI.f64))
accuracy0.6009971311022587
(tan.f64 (*.f64 l (PI.f64)))
accuracy2.1667119334390295
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))
accuracy30.757063688715704
(PI.f64)
accuracy0.1328125
(*.f64 (PI.f64) l)
accuracy16.416932348596216
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
accuracy30.757063688715704
(PI.f64)
accuracy0.1328125
(*.f64 (PI.f64) l)
accuracy0.1328125
(*.f64 l (PI.f64))
accuracy0.6009971311022587
(tan.f64 (*.f64 l (PI.f64)))
accuracy30.757063688715704
(PI.f64)
Samples
43.0ms127×0invalid
43.0ms129×0valid
Compiler

Compiled 229 to 33 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 19.0ms (30.6% of total)
ival-div: 14.0ms (22.6% of total)
ival-tanu: 7.0ms (11.3% of total)
ival-cbrt: 6.0ms (9.7% of total)
ival-sub: 6.0ms (9.7% of total)
ival-pow: 3.0ms (4.8% of total)
ival-tan: 2.0ms (3.2% of total)
ival-pi: 1.0ms (1.6% of total)
ival-add: 1.0ms (1.6% of total)
exact: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series37.0ms (0.5%)

Memory
3.8MiB live, 41.3MiB allocated
Counts
16 → 288
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F) (patch (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) (patch (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())
#s(alt (tan.f64 (*.f64 l (PI.f64))) (patch (tan.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))) (patch (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))) #<representation binary64>) () ())
#s(alt (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (patch (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))) #<representation binary64>) () ())
#s(alt (*.f64 l (PI.f64)) (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())
#s(alt (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) (patch (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) #<representation binary64>) () ())
Outputs
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F) (patch (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F) (patch (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F) (patch (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F) (patch (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) (patch (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) (patch (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) (patch (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) (patch (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))) (patch (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))) (patch (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))) (patch (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))) (patch (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI))))) (taylor -inf l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI))))) (taylor -inf l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 l (PI.f64)) (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 l (PI.f64)) (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 l (PI.f64)) (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 l (PI.f64)) (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) (patch (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) (patch (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) (patch (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) (patch (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
8.0ms
F
@0
((/ (/ (tan (* l (PI))) F) F) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (PI) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (tan (* l (PI))) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (* (/ 1 (tan (* l (PI)))) (neg F)) (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (cbrt (pow (PI) 3)) (* (/ 1 (* F F)) (tan (* (cbrt (pow (PI) 3)) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (cbrt (pow (PI) 3)) l)))) (* l (PI)) (tan (* (cbrt (pow (PI) 3)) l)))
4.0ms
l
@inf
((/ (/ (tan (* l (PI))) F) F) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (PI) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (tan (* l (PI))) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (* (/ 1 (tan (* l (PI)))) (neg F)) (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (cbrt (pow (PI) 3)) (* (/ 1 (* F F)) (tan (* (cbrt (pow (PI) 3)) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (cbrt (pow (PI) 3)) l)))) (* l (PI)) (tan (* (cbrt (pow (PI) 3)) l)))
4.0ms
F
@inf
((/ (/ (tan (* l (PI))) F) F) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (PI) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (tan (* l (PI))) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (* (/ 1 (tan (* l (PI)))) (neg F)) (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (cbrt (pow (PI) 3)) (* (/ 1 (* F F)) (tan (* (cbrt (pow (PI) 3)) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (cbrt (pow (PI) 3)) l)))) (* l (PI)) (tan (* (cbrt (pow (PI) 3)) l)))
3.0ms
F
@-inf
((/ (/ (tan (* l (PI))) F) F) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (PI) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (tan (* l (PI))) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (* (/ 1 (tan (* l (PI)))) (neg F)) (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (cbrt (pow (PI) 3)) (* (/ 1 (* F F)) (tan (* (cbrt (pow (PI) 3)) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (cbrt (pow (PI) 3)) l)))) (* l (PI)) (tan (* (cbrt (pow (PI) 3)) l)))
3.0ms
l
@0
((/ (/ (tan (* l (PI))) F) F) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (PI) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (tan (* l (PI))) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (* (/ 1 (tan (* l (PI)))) (neg F)) (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (cbrt (pow (PI) 3)) (* (/ 1 (* F F)) (tan (* (cbrt (pow (PI) 3)) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (cbrt (pow (PI) 3)) l)))) (* l (PI)) (tan (* (cbrt (pow (PI) 3)) l)))

simplify222.0ms (3.1%)

Memory
18.2MiB live, 248.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02216071
16975759
225635236
080795107
Stop Event
iter limit
node limit
Counts
288 → 288
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)))))
(* -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))
(* -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))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (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)))))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* 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))
(/ (sin (* l (PI))) (* (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)))))
(* -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))
(/ (sin (* l (PI))) (* (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))
(+ (* -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))
(+ (* -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)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (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)))))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* 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))
(+ (* -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)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (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)))))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (PI))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* 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)))))))))
(* l (PI))
(* l (PI))
(* l (PI))
(* 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)))))))))
(* 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))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (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))) (* (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)))))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* 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)))))))))
(/ (sin (* l (PI))) (* (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))
(* -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)))))))))
(* l (PI))
(* l (PI))
(* l (PI))
(* 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))))
Outputs
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(/.f64 (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(/.f64 (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(/.f64 (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(/.f64 (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(* l (PI))
(*.f64 (PI.f64) l)
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(* l (PI))
(*.f64 (PI.f64) l)
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(* l (PI))
(*.f64 (PI.f64) l)
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(/.f64 (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(/.f64 (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(/.f64 (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(/.f64 (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(* l (PI))
(*.f64 (PI.f64) l)
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(* l (PI))
(*.f64 (PI.f64) l)
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
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(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
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(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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rewrite191.0ms (2.7%)

Memory
-19.5MiB live, 171.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037150
062124
1238120
21728120
08287120
Stop Event
iter limit
node limit
iter limit
Counts
16 → 722
Calls
Call 1
Inputs
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
(*.f64 (PI.f64) l)
(PI.f64)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))
(tan.f64 (*.f64 l (PI.f64)))
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
(*.f64 l (PI.f64))
(tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
Outputs
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eval499.0ms (6.9%)

Memory
-12.7MiB live, 378.4MiB allocated
Compiler

Compiled 33 834 to 2 665 computations (92.1% saved)

prune53.0ms (0.7%)

Memory
11.4MiB live, 133.5MiB allocated
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New1 545111 556
Fresh549
Picked235
Done000
Total1 552181 570
Accuracy
99.6%
Counts
1 570 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.6%
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 l (fma.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (*.f64 l (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))) #s(literal 2 binary64)) (fma.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (*.f64 l (PI.f64))))))
79.9%
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
83.7%
(fma.f64 (PI.f64) l (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
80.4%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)))
80.5%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
71.4%
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
74.6%
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
83.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
74.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) F) F))
83.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))) (neg.f64 F))))
74.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l))) (neg.f64 F))))
74.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (* (/ 1 (tan (* l (PI)))) (neg F)) (/.f64 (/.f64 (neg.f64 F) l) (PI.f64)))))
83.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))
79.1%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
65.1%
(-.f64 (*.f64 (PI.f64) l) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))))
71.4%
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
73.6%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
74.1%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Compiler

Compiled 506 to 367 computations (27.5% saved)

simplify159.0ms (2.2%)

Memory
-19.0MiB live, 105.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)))
cost-diff12864
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) F)
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) l (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
cost-diff960
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
cost-diff0
(*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))
cost-diff0
#s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
cost-diff0
(PI.f64)
cost-diff0
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
cost-diff0
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
cost-diff0
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))
cost-diff384
(/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047260
079249
1126246
2200239
3368239
4663239
51171239
61728239
72212239
82762239
93187239
103766239
114626239
125480239
136875239
08085239
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))
#s(literal 1 binary64)
(/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))
F
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 F F)
F
l
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
(PI.f64)
l
#s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))
(*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))
(/.f64 (neg.f64 (PI.f64)) F)
(neg.f64 (PI.f64))
F
(/.f64 l F)
(fma.f64 (PI.f64) l (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(PI.f64)
l
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)))
(PI.f64)
l
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F))
(tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (neg.f64 F) F)
(neg.f64 F)
F
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(PI.f64)
l
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
#s(literal 1 binary64)
(/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))
(/.f64 (*.f64 F F) (tan.f64 (*.f64 l (PI.f64))))
F
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 F F)
F
l
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
(fma.f64 l (PI.f64) #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F) l)))
(PI.f64)
l
#s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))
#s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F) l))
(*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))
(*.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F) l)
(/.f64 (neg.f64 (PI.f64)) F)
(neg.f64 (PI.f64))
F
(/.f64 l F)
(fma.f64 (PI.f64) l (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(PI.f64)
l
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(tan.f64 (*.f64 (PI.f64) l))
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(PI.f64)
l
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))
(tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 l (PI.f64))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (neg.f64 F) F)
(neg.f64 F)
F

localize321.0ms (4.4%)

Memory
27.0MiB live, 213.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.50390625
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
accuracy0.6009971311022587
(tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))
accuracy2.1667119334390295
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F))
accuracy30.757063688715704
(PI.f64)
accuracy0.1015625
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
accuracy0.1328125
(*.f64 (PI.f64) l)
accuracy0.6009971311022587
(tan.f64 (*.f64 (PI.f64) l))
accuracy30.757063688715704
(PI.f64)
accuracy0.11623002930532605
(*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))
accuracy0.1328125
(/.f64 (neg.f64 (PI.f64)) F)
accuracy0.731959173882409
#s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))
accuracy30.757063688715704
(PI.f64)
accuracy0.09110128162065376
(/.f64 (PI.f64) (*.f64 F F))
accuracy0.5154017666858737
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
accuracy2.2057744334390295
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
accuracy30.757063688715704
(PI.f64)
accuracy0.1328125
(*.f64 l (PI.f64))
accuracy0.22625900843806013
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))
accuracy0.6009971311022587
(tan.f64 (*.f64 l (PI.f64)))
accuracy30.757063688715704
(PI.f64)
Samples
58.0ms127×0invalid
46.0ms129×0valid
Compiler

Compiled 237 to 39 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-div: 16.0ms (32.8% of total)
ival-mult: 10.0ms (20.5% of total)
ival-tanu: 6.0ms (12.3% of total)
ival-add: 3.0ms (6.1% of total)
ival-sub: 3.0ms (6.1% of total)
ival-cbrt: 2.0ms (4.1% of total)
ival-tan: 2.0ms (4.1% of total)
ival-pow: 2.0ms (4.1% of total)
ival-neg: 2.0ms (4.1% of total)
ival-pi: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series43.0ms (0.6%)

Memory
0.3MiB live, 88.2MiB allocated
Counts
24 → 420
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) (patch (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) #<representation binary64>) () ())
#s(alt (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) (patch (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) (patch #s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) (patch (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) #<representation binary64>) () ())
#s(alt (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (patch (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) (patch (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) (patch #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) (patch (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (patch (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) l (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (patch (fma.f64 (PI.f64) l (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) F) (patch (/.f64 #s(literal -1 binary64) F) #<representation binary64>) () ())
#s(alt (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (patch (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F))) (patch (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)) (patch (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())
#s(alt (tan.f64 (*.f64 l (PI.f64))) (patch (tan.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 l (PI.f64)) (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) (*.f64 F F)) (patch (/.f64 (PI.f64) (*.f64 F F)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (PI.f64)) F) (patch (/.f64 (neg.f64 (PI.f64)) F) #<representation binary64>) () ())
#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())
#s(alt (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) (patch (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())
#s(alt (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (patch (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) #<representation binary64>) () ())
Outputs
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) (patch (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) (patch (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) (patch (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) (patch (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) (taylor 0 F) (#s(alt (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) (patch (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) (taylor 0 F) (#s(alt (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) (patch (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) (taylor 0 F) (#s(alt (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) (patch (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) (taylor 0 F) (#s(alt (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) (patch (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt #s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) (patch #s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt #s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) (patch #s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt #s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) (patch #s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt #s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) (patch #s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* l (PI)) (pow F 2))) (taylor 0 F) (#s(alt (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) (patch (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) (patch (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) (patch (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) (patch (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (PI) (pow F 2))) (taylor 0 F) (#s(alt (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (patch (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (patch (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (patch (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (patch (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) (patch (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) (patch (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) (patch (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) (patch (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) (patch #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) (patch #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) (patch #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) (patch #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* l (PI)) (pow F 2))) (taylor 0 F) (#s(alt (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) (patch (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* l (PI)) (pow F 2))) (taylor 0 F) (#s(alt (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) (patch (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* l (PI)) (pow F 2))) (taylor 0 F) (#s(alt (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) (patch (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)) #<representation binary64>) () ())) ())
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#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (patch (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
7.0ms
l
@0
((/ 1 (/ F (/ (tan (* l (PI))) F))) (/ F (/ (tan (* l (PI))) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (* (PI) l) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (* (/ (neg (PI)) F) (/ l F)) (/ (/ -1 F) (/ F (tan (* (PI) l)))) (+ (* (PI) l) (/ (/ -1 F) (/ F (tan (* (PI) l))))) (/ -1 F) (cbrt (pow (PI) 3)) (+ (* (PI) l) (/ (tan (* l (cbrt (pow (PI) 3)))) (* (neg F) F))) (/ (tan (* l (cbrt (pow (PI) 3)))) (* (neg F) F)) (tan (* l (PI))) (* l (PI)) (/ (PI) (* F F)) (/ (neg (PI)) F) (tan (* (PI) l)) (/ F (tan (* (PI) l))) (tan (* l (cbrt (pow (PI) 3)))))
6.0ms
F
@0
((/ 1 (/ F (/ (tan (* l (PI))) F))) (/ F (/ (tan (* l (PI))) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (* (PI) l) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (* (/ (neg (PI)) F) (/ l F)) (/ (/ -1 F) (/ F (tan (* (PI) l)))) (+ (* (PI) l) (/ (/ -1 F) (/ F (tan (* (PI) l))))) (/ -1 F) (cbrt (pow (PI) 3)) (+ (* (PI) l) (/ (tan (* l (cbrt (pow (PI) 3)))) (* (neg F) F))) (/ (tan (* l (cbrt (pow (PI) 3)))) (* (neg F) F)) (tan (* l (PI))) (* l (PI)) (/ (PI) (* F F)) (/ (neg (PI)) F) (tan (* (PI) l)) (/ F (tan (* (PI) l))) (tan (* l (cbrt (pow (PI) 3)))))
5.0ms
l
@inf
((/ 1 (/ F (/ (tan (* l (PI))) F))) (/ F (/ (tan (* l (PI))) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (* (PI) l) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (* (/ (neg (PI)) F) (/ l F)) (/ (/ -1 F) (/ F (tan (* (PI) l)))) (+ (* (PI) l) (/ (/ -1 F) (/ F (tan (* (PI) l))))) (/ -1 F) (cbrt (pow (PI) 3)) (+ (* (PI) l) (/ (tan (* l (cbrt (pow (PI) 3)))) (* (neg F) F))) (/ (tan (* l (cbrt (pow (PI) 3)))) (* (neg F) F)) (tan (* l (PI))) (* l (PI)) (/ (PI) (* F F)) (/ (neg (PI)) F) (tan (* (PI) l)) (/ F (tan (* (PI) l))) (tan (* l (cbrt (pow (PI) 3)))))
4.0ms
F
@inf
((/ 1 (/ F (/ (tan (* l (PI))) F))) (/ F (/ (tan (* l (PI))) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (* (PI) l) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (* (/ (neg (PI)) F) (/ l F)) (/ (/ -1 F) (/ F (tan (* (PI) l)))) (+ (* (PI) l) (/ (/ -1 F) (/ F (tan (* (PI) l))))) (/ -1 F) (cbrt (pow (PI) 3)) (+ (* (PI) l) (/ (tan (* l (cbrt (pow (PI) 3)))) (* (neg F) F))) (/ (tan (* l (cbrt (pow (PI) 3)))) (* (neg F) F)) (tan (* l (PI))) (* l (PI)) (/ (PI) (* F F)) (/ (neg (PI)) F) (tan (* (PI) l)) (/ F (tan (* (PI) l))) (tan (* l (cbrt (pow (PI) 3)))))
3.0ms
l
@-inf
((/ 1 (/ F (/ (tan (* l (PI))) F))) (/ F (/ (tan (* l (PI))) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (* (PI) l) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (* (/ (neg (PI)) F) (/ l F)) (/ (/ -1 F) (/ F (tan (* (PI) l)))) (+ (* (PI) l) (/ (/ -1 F) (/ F (tan (* (PI) l))))) (/ -1 F) (cbrt (pow (PI) 3)) (+ (* (PI) l) (/ (tan (* l (cbrt (pow (PI) 3)))) (* (neg F) F))) (/ (tan (* l (cbrt (pow (PI) 3)))) (* (neg F) F)) (tan (* l (PI))) (* l (PI)) (/ (PI) (* F F)) (/ (neg (PI)) F) (tan (* (PI) l)) (/ F (tan (* (PI) l))) (tan (* l (cbrt (pow (PI) 3)))))

simplify244.0ms (3.4%)

Memory
10.1MiB live, 198.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02707657
18207335
231626581
080826444
Stop Event
iter limit
node limit
Counts
420 → 420
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)))))
(/ (* (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))))
(* -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))
(* -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))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* -1 (/ (PI) (pow F 2)))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (sin (* l (PI))) (* (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)))))
(/ (* (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))))
(* 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))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(PI)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (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)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* 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)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(* 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)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (sin (* l (PI))) (* (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)))))
(/ (* (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))))
(* 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))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(PI)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (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)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* 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)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(* 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)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* 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))))
(/ (pow F 2) (* l (PI)))
(/ (+ (* -1 (/ (* (pow F 2) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ (pow F 2) (PI))) l)
(/ (+ (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* (pow F 2) (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* (pow F 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 (PI) 2))))) (/ (* (pow F 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ (pow F 2) (PI))) l)
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(* l (- (PI) (/ (PI) (pow F 2))))
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(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* 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))
(* 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)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (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))) (* (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)))))
(/ (* (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))))
(* 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)))))))))
(* l (PI))
(* l (PI))
(* l (PI))
(* 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)))))))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (PI))
(* -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))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (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)))))))))
(* 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))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
Outputs
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(* -1 (/ (* l (PI)) (pow F 2)))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(* -1 (/ (PI) (pow F 2)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (* l (PI)) (pow F 2)))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(* -1 (/ (* l (PI)) (pow F 2)))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(* -1 (/ (* l (PI)) (pow F 2)))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(* -1 (/ (* l (PI)) (pow F 2)))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(* -1 (/ (PI) F))
(/.f64 (neg.f64 (PI.f64)) F)
(* -1 (/ (PI) F))
(/.f64 (neg.f64 (PI.f64)) F)
(* -1 (/ (PI) F))
(/.f64 (neg.f64 (PI.f64)) F)
(* -1 (/ (PI) F))
(/.f64 (neg.f64 (PI.f64)) F)
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F) (sin.f64 (*.f64 (PI.f64) l)))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F) (sin.f64 (*.f64 (PI.f64) l)))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F) (sin.f64 (*.f64 (PI.f64) l)))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F) (sin.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(* l (PI))
(*.f64 (PI.f64) l)
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
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(/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F) (sin.f64 (*.f64 (PI.f64) l)))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F) (sin.f64 (*.f64 (PI.f64) l)))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F) (sin.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))

rewrite204.0ms (2.8%)

Memory
0.3MiB live, 201.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047211
079195
1286193
22068193
08600193
Stop Event
iter limit
node limit
iter limit
Counts
24 → 899
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))
(/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))
(*.f64 (PI.f64) l)
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))
(*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal -1 binary64) F)
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)))
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F))
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (neg.f64 (PI.f64)) F)
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
(tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))
Outputs
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eval372.0ms (5.2%)

Memory
-7.7MiB live, 452.7MiB allocated
Compiler

Compiled 37 001 to 4 334 computations (88.3% saved)

prune73.0ms (1%)

Memory
8.0MiB live, 140.2MiB allocated
Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New1 81991 828
Fresh5510
Picked325
Done033
Total1 827191 846
Accuracy
99.6%
Counts
1 846 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.9%
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
80.4%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)))
80.5%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
71.4%
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
74.6%
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
71.4%
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 l (*.f64 (/.f64 (neg.f64 F) (PI.f64)) F))))
74.6%
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l)))))
74.6%
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
83.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
83.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))) (neg.f64 F))))
83.8%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
79.1%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
65.1%
(-.f64 (*.f64 (PI.f64) l) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))))
55.2%
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (PI.f64) (*.f64 F F)) #s(literal 2 binary64))) l) (fma.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64) (PI.f64))))
71.4%
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
23.5%
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l))
26.7%
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
73.6%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
74.1%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Compiler

Compiled 441 to 349 computations (20.9% saved)

simplify151.0ms (2.1%)

Memory
9.1MiB live, 83.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
cost-diff6656
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64)))
cost-diff0
(*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l))
cost-diff0
#s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l))))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l)))))
cost-diff0
(*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))
cost-diff0
#s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F)))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
cost-diff0
(neg.f64 (PI.f64))
cost-diff0
#s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
cost-diff0
(*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l)
cost-diff0
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l))
cost-diff0
(*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047302
075294
1134294
2244294
3525286
41083286
51922286
62490286
73238286
84249286
94795286
105004286
115078286
125090286
135141286
145409286
155957286
167073286
08060286
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F))
#s(literal 1 binary64)
(*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
F
(tan.f64 (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l))
(*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l)
#s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(neg.f64 (PI.f64))
(PI.f64)
(*.f64 F F)
F
l
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
(PI.f64)
l
#s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F)))
(*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))
(neg.f64 (PI.f64))
(/.f64 (/.f64 l F) F)
(/.f64 l F)
F
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l)))))
(PI.f64)
l
#s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l)))
#s(literal 1 binary64)
(*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l))
(/.f64 (neg.f64 F) (PI.f64))
(neg.f64 F)
F
(/.f64 F l)
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64)))
(*.f64 (log.f64 F) #s(literal -2 binary64))
(log.f64 F)
F
#s(literal -2 binary64)
(tan.f64 (*.f64 (PI.f64) l))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
(-.f64 (*.f64 l (PI.f64)) (*.f64 (pow.f64 F #s(literal -2 binary64)) (tan.f64 (*.f64 l (PI.f64)))))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(PI.f64)
l
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F))
(*.f64 (pow.f64 F #s(literal -2 binary64)) (tan.f64 (*.f64 l (PI.f64))))
#s(literal 1 binary64)
(*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)
(/.f64 (*.f64 F F) (tan.f64 (*.f64 l (PI.f64))))
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
F
(tan.f64 (*.f64 (PI.f64) l))
(tan.f64 (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (*.f64 (pow.f64 F #s(literal -2 binary64)) (neg.f64 (PI.f64)))) l))
(*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l)
(*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (*.f64 (pow.f64 F #s(literal -2 binary64)) (neg.f64 (PI.f64)))) l)
#s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
#s(approx (- (PI) (/ (PI) (* F F))) (*.f64 (pow.f64 F #s(literal -2 binary64)) (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (PI.f64)) (*.f64 F F))
(*.f64 (pow.f64 F #s(literal -2 binary64)) (neg.f64 (PI.f64)))
(neg.f64 (PI.f64))
(PI.f64)
(*.f64 F F)
F
l
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
(fma.f64 l (PI.f64) #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 l) (*.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64)))))
(PI.f64)
l
#s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F)))
#s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 l) (*.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64))))
(*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))
(*.f64 (neg.f64 l) (*.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64)))
(neg.f64 (PI.f64))
(/.f64 (/.f64 l F) F)
(*.f64 (pow.f64 F #s(literal -2 binary64)) l)
(/.f64 l F)
F
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l)))))
(fma.f64 l (PI.f64) #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 l) (*.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64)))))
(PI.f64)
l
#s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l))))
#s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 l) (*.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l)))
(*.f64 (neg.f64 l) (*.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64)))
#s(literal 1 binary64)
(*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l))
(*.f64 (/.f64 (/.f64 F (neg.f64 (PI.f64))) l) F)
(/.f64 (neg.f64 F) (PI.f64))
(/.f64 F (neg.f64 (PI.f64)))
(neg.f64 F)
F
(/.f64 F l)
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 l (PI.f64)) (*.f64 (pow.f64 F #s(literal -2 binary64)) (tan.f64 (*.f64 l (PI.f64)))))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(PI.f64)
l
(*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (pow.f64 F #s(literal -2 binary64)) (tan.f64 (*.f64 l (PI.f64))))
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64)))
(pow.f64 F #s(literal -2 binary64))
(*.f64 (log.f64 F) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 F))
(log.f64 F)
F
#s(literal -2 binary64)
(tan.f64 (*.f64 (PI.f64) l))
(tan.f64 (*.f64 l (PI.f64)))

localize129.0ms (1.8%)

Memory
-20.9MiB live, 207.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.6009971311022587
(tan.f64 (*.f64 (PI.f64) l))
accuracy1.8742017599870975
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64)))
accuracy2.1588994334390295
(*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))
accuracy30.757063688715704
(PI.f64)
accuracy0.140625
(/.f64 (neg.f64 F) (PI.f64))
accuracy0.23016525843806013
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l)))
accuracy0.731959173882409
#s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l))))
accuracy30.757063688715704
(PI.f64)
accuracy0.0703125
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
accuracy0.12175751953688403
(*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))
accuracy0.731959173882409
#s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F)))
accuracy30.757063688715704
(PI.f64)
accuracy0.5154017666858737
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l))
accuracy2.2057744334390295
(*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l)
accuracy15.283807590761322
#s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
accuracy30.757063688715704
(PI.f64)
accuracy0.1328125
(*.f64 (PI.f64) l)
accuracy0.22625900843806013
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F))
accuracy0.6009971311022587
(tan.f64 (*.f64 (PI.f64) l))
accuracy30.757063688715704
(PI.f64)
Samples
47.0ms127×0invalid
39.0ms129×0valid
Compiler

Compiled 235 to 38 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-div: 19.0ms (30.2% of total)
ival-mult: 13.0ms (20.7% of total)
ival-exp: 9.0ms (14.3% of total)
ival-tanu: 6.0ms (9.5% of total)
ival-pi: 4.0ms (6.4% of total)
ival-sub: 4.0ms (6.4% of total)
ival-log: 3.0ms (4.8% of total)
ival-neg: 2.0ms (3.2% of total)
ival-add: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.5%)

Memory
13.6MiB live, 91.3MiB allocated
Counts
21 → 396
Calls
Call 1
Inputs
#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F))) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F) (patch (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l)) (patch #s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l) (patch (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l) #<representation binary64>) () ())
#s(alt #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) (patch #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) #<representation binary64>) () ())
#s(alt (neg.f64 (PI.f64)) (patch (neg.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F)))) (patch (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))) (patch #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F)) (patch (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F)) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l))))) (patch (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l)))) (patch #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l)) (patch (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l)) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (patch (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) #<representation binary64>) () ())
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Outputs
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#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F)))) (patch (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F)))) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
4.0ms
l
@inf
((- (* (PI) l) (/ 1 (* (/ F (tan (* (PI) l))) F))) (* (PI) l) (PI) (* (/ F (tan (* (PI) l))) F) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (neg (PI)) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (* (neg (PI)) (/ (/ l F) F)) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (* (/ (neg F) (PI)) (/ F l)) (exp (* (log F) -2)) (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) (tan (* (PI) l)) (/ 1 (* (/ F (tan (* (PI) l))) F)) (/ 1 (* (/ (neg F) (PI)) (/ F l))) (/ (neg F) (PI)) (* (exp (* (log F) -2)) (tan (* (PI) l))))
4.0ms
F
@0
((- (* (PI) l) (/ 1 (* (/ F (tan (* (PI) l))) F))) (* (PI) l) (PI) (* (/ F (tan (* (PI) l))) F) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (neg (PI)) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (* (neg (PI)) (/ (/ l F) F)) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (* (/ (neg F) (PI)) (/ F l)) (exp (* (log F) -2)) (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) (tan (* (PI) l)) (/ 1 (* (/ F (tan (* (PI) l))) F)) (/ 1 (* (/ (neg F) (PI)) (/ F l))) (/ (neg F) (PI)) (* (exp (* (log F) -2)) (tan (* (PI) l))))
3.0ms
F
@inf
((- (* (PI) l) (/ 1 (* (/ F (tan (* (PI) l))) F))) (* (PI) l) (PI) (* (/ F (tan (* (PI) l))) F) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (neg (PI)) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (* (neg (PI)) (/ (/ l F) F)) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (* (/ (neg F) (PI)) (/ F l)) (exp (* (log F) -2)) (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) (tan (* (PI) l)) (/ 1 (* (/ F (tan (* (PI) l))) F)) (/ 1 (* (/ (neg F) (PI)) (/ F l))) (/ (neg F) (PI)) (* (exp (* (log F) -2)) (tan (* (PI) l))))
3.0ms
F
@-inf
((- (* (PI) l) (/ 1 (* (/ F (tan (* (PI) l))) F))) (* (PI) l) (PI) (* (/ F (tan (* (PI) l))) F) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (neg (PI)) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (* (neg (PI)) (/ (/ l F) F)) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (* (/ (neg F) (PI)) (/ F l)) (exp (* (log F) -2)) (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) (tan (* (PI) l)) (/ 1 (* (/ F (tan (* (PI) l))) F)) (/ 1 (* (/ (neg F) (PI)) (/ F l))) (/ (neg F) (PI)) (* (exp (* (log F) -2)) (tan (* (PI) l))))
3.0ms
l
@-inf
((- (* (PI) l) (/ 1 (* (/ F (tan (* (PI) l))) F))) (* (PI) l) (PI) (* (/ F (tan (* (PI) l))) F) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (neg (PI)) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (* (neg (PI)) (/ (/ l F) F)) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (* (/ (neg F) (PI)) (/ F l)) (exp (* (log F) -2)) (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) (tan (* (PI) l)) (/ 1 (* (/ F (tan (* (PI) l))) F)) (/ 1 (* (/ (neg F) (PI)) (/ F l))) (/ (neg F) (PI)) (* (exp (* (log F) -2)) (tan (* (PI) l))))

simplify236.0ms (3.3%)

Memory
10.9MiB live, 225.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02316921
17136653
226866029
081715918
Stop Event
iter limit
node limit
Counts
396 → 396
Calls
Call 1
Inputs
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(/ (* l (PI)) (pow F 2))
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(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -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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(* -1 (/ (* l (PI)) (pow F 2)))
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(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -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))))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))

rewrite161.0ms (2.2%)

Memory
3.8MiB live, 196.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047242
075226
1296226
22068226
08229226
Stop Event
iter limit
node limit
iter limit
Counts
21 → 679
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
(*.f64 (PI.f64) l)
(PI.f64)
(*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l))
(*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l)
#s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))
(neg.f64 (PI.f64))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F)))
(*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l)))))
#s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l))))
(*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l))
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l)))
(/.f64 (neg.f64 F) (PI.f64))
(*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))
Outputs
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eval258.0ms (3.6%)

Memory
13.7MiB live, 348.2MiB allocated
Compiler

Compiled 29 476 to 3 374 computations (88.6% saved)

prune68.0ms (0.9%)

Memory
-15.4MiB live, 124.8MiB allocated
Pruning

20 alts after pruning (10 fresh and 10 done)

PrunedKeptTotal
New1 53221 534
Fresh189
Picked055
Done055
Total1 533201 553
Accuracy
99.6%
Counts
1 553 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.9%
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
80.4%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)))
80.5%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
71.4%
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
74.6%
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
71.4%
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 l (*.f64 (/.f64 (neg.f64 F) (PI.f64)) F))))
74.6%
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l)))))
74.6%
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
83.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
83.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))) (neg.f64 F))))
83.8%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
79.1%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
79.1%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
65.1%
(-.f64 (*.f64 (PI.f64) l) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))))
55.2%
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (PI.f64) (*.f64 F F)) #s(literal 2 binary64))) l) (fma.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64) (PI.f64))))
71.4%
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
23.5%
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l))
26.7%
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
73.6%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
74.1%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Compiler

Compiled 796 to 368 computations (53.8% saved)

regimes89.0ms (1.2%)

Memory
-16.5MiB live, 96.5MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) F) F))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 l (*.f64 (/.f64 (neg.f64 F) (PI.f64)) F))))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l))) (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (* (/ 1 (tan (* l (PI)))) (neg F)) (/.f64 (/.f64 (neg.f64 F) l) (PI.f64)))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 #s(literal -1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (PI.f64) (*.f64 F F)) #s(literal 2 binary64))) l) (fma.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64) (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 (PI.f64) l) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))) (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 l (fma.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (*.f64 l (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))) #s(literal 2 binary64)) (fma.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (*.f64 l (PI.f64))))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

6 calls:

21.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
12.0ms
(*.f64 F F)
10.0ms
l
10.0ms
F
10.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
86.0%2F
99.2%2l
92.3%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
99.2%2(*.f64 (PI.f64) l)
83.8%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
83.8%1(*.f64 F F)
Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes13.0ms (0.2%)

Memory
28.7MiB live, 28.7MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) F) F))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 l (*.f64 (/.f64 (neg.f64 F) (PI.f64)) F))))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l))) (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (* (/ 1 (tan (* l (PI)))) (neg F)) (/.f64 (/.f64 (neg.f64 F) l) (PI.f64)))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

2 calls:

6.0ms
(*.f64 (PI.f64) l)
6.0ms
l
Results
AccuracySegmentsBranch
99.2%2l
99.2%2(*.f64 (PI.f64) l)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes15.0ms (0.2%)

Memory
-9.2MiB live, 26.8MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) F) F))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 l (*.f64 (/.f64 (neg.f64 F) (PI.f64)) F))))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 F l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l))) (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (* (/ 1 (tan (* l (PI)))) (neg F)) (/.f64 (/.f64 (neg.f64 F) l) (PI.f64)))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Outputs
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

2 calls:

9.0ms
(*.f64 (PI.f64) l)
6.0ms
l
Results
AccuracySegmentsBranch
98.8%2l
98.8%2(*.f64 (PI.f64) l)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes9.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) F) F))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
Outputs
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

2 calls:

4.0ms
l
4.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
98.8%2l
98.8%2(*.f64 (PI.f64) l)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes10.0ms (0.1%)

Memory
-18.9MiB live, 17.9MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) F) F))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) F) F))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

2 calls:

6.0ms
(*.f64 (PI.f64) l)
4.0ms
l
Results
AccuracySegmentsBranch
98.8%2l
98.8%2(*.f64 (PI.f64) l)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes7.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))))
Outputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

2 calls:

3.0ms
l
3.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
95.6%2l
95.6%2(*.f64 (PI.f64) l)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes8.0ms (0.1%)

Memory
-21.1MiB live, 14.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l))
Outputs
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

3 calls:

4.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
2.0ms
(*.f64 (PI.f64) l)
2.0ms
l
Results
AccuracySegmentsBranch
88.4%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
78.6%3l
78.6%3(*.f64 (PI.f64) l)
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes8.0ms (0.1%)

Memory
24.5MiB live, 24.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Outputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

6 calls:

1.0ms
(*.f64 (PI.f64) l)
1.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
1.0ms
l
1.0ms
F
1.0ms
(/.f64 #s(literal 1 binary64) (*.f64 F F))
Results
AccuracySegmentsBranch
74.1%1l
74.1%1(*.f64 (PI.f64) l)
74.1%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
74.1%1(*.f64 F F)
74.1%1F
74.1%1(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3397832744967.7983
1462305628437290200.0
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3397832744967.7983
1462305628437290200.0
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3397832744967.7983
1462305628437290200.0
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3397832744967.7983
1462305628437290200.0
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3397832744967.7983
1462305628437290200.0
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3397832744967.7983
1462305628437290200.0
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.340947843112998e-278
9.173884949951819e-301
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify39.0ms (0.5%)

Memory
-12.3MiB live, 68.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070334
1101334
2153334
3209334
4249334
5342334
6478334
7490334
8492334
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) F) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -6386688990511103/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568 binary64)) #s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Outputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 l (PI.f64)) #s(literal 5000000000000 binary64)) (-.f64 (*.f64 l (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64)))) F))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 l (PI.f64)) #s(literal 5000000000000 binary64)) (-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 l (PI.f64)) #s(literal 5000000000000 binary64)) (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 l (neg.f64 F)) (/.f64 (PI.f64) F)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 l (PI.f64)) #s(literal 5000000000000 binary64)) (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (/.f64 l F) F) (neg.f64 (PI.f64))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) F) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 l (PI.f64)) #s(literal 5000000000000 binary64)) (-.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 l (PI.f64))) F) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 l (PI.f64)) #s(literal 5000000000000 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -6386688990511103/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568 binary64)) #s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (-.f64 (*.f64 l (PI.f64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 l (PI.f64))))) #s(literal -6386688990511103/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568 binary64)) #s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))

soundness1.0s (14.2%)

Memory
6.0MiB live, 843.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02707657
18207335
231626581
080826444
01491433
14321361
214501197
369251158
085231124
047211
079195
1286193
22068193
08600193
01037
01737
17031
246731
3666931
0819131
02216071
16975759
225635236
080795107
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 490 to 255 computations (48% saved)

preprocess242.0ms (3.4%)

Memory
-2.2MiB live, 288.2MiB allocated
Remove

(abs F)

Compiler

Compiled 650 to 294 computations (54.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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