VandenBroeck and Keller, Equation (6)

Time bar (total: 7.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze209.0ms (2.8%)

Memory
23.9MiB live, 258.4MiB 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)

sample969.0ms (12.8%)

Memory
46.2MiB live, 1 038.1MiB allocated
Samples
700.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 518.0ms
ival-mult: 201.0ms (38.8% of total)
ival-tanu: 172.0ms (33.2% of total)
ival-div: 55.0ms (10.6% of total)
ival-sub: 43.0ms (8.3% of total)
ival-pi: 34.0ms (6.6% of total)
ival-true: 6.0ms (1.2% of total)
exact: 5.0ms (1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain150.0ms (2%)

Memory
-5.9MiB live, 198.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1330-0-(tan.f64 (*.f64 (PI.f64) l))
490-0-(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
20-0-(/.f64 #s(literal 1 binary64) (*.f64 F F))
00-0-(*.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*o150
Confusion
Predicted +Predicted -
+740
-74108
Precision
0.5
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7400
-740108
Precision?
0.5
Recall?
1.0
Freqs
test
numberfreq
0108
1148
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
62.0ms512×0valid
Compiler

Compiled 147 to 44 computations (70.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 20.0ms (44.1% of total)
ival-tanu: 15.0ms (33.1% of total)
ival-pi: 3.0ms (6.6% of total)
ival-div: 3.0ms (6.6% of total)
ival-sub: 2.0ms (4.4% 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
18.5MiB live, 57.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02674
17862
225460
366960
4115860
5155860
6181960
7187560
8188560
01014
01714
13012
26412
314112
421912
533212
640212
748812
863112
969912
1076712
1180312
080312
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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.6%
(-.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)

simplify28.0ms (0.4%)

Memory
-17.6MiB live, 25.1MiB 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
533239
640239
748839
863139
969939
1076739
1180339
080339
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)))

localize33.0ms (0.4%)

Memory
-0.4MiB live, 37.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.2109375
(*.f64 (PI.f64) l)
accuracy0.391307332139339
(/.f64 #s(literal 1 binary64) (*.f64 F F))
accuracy11.917888096631737
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
accuracy31.286973898132977
(tan.f64 (*.f64 (PI.f64) l))
Samples
25.0ms256×0valid
Compiler

Compiled 88 to 22 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-tanu: 7.0ms (40.3% of total)
ival-mult: 4.0ms (23% of total)
ival-sub: 3.0ms (17.3% of total)
ival-div: 2.0ms (11.5% of total)
ival-pi: 1.0ms (5.8% 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
17.4MiB live, 17.4MiB 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)))
1.0ms
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)))

simplify249.0ms (3.3%)

Memory
10.6MiB live, 159.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01491427
14321349
215041209
370611170
083901145
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)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (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))
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(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(* l (PI))
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(/ 1 (pow F 2))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (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)
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(/ 1 (pow F 2))
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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))))
(fma.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64)) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) F) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 F F)) (*.f64 l l) (*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) F) F) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 l l) (/.f64 (PI.f64) (*.f64 F F))) l)
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) F) F) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F) F) #s(literal -1/840 binary64) (fma.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 (/.f64 (/.f64 #s(literal -1/2 binary64) F) F) (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 (PI.f64) (PI.f64))))))) (*.f64 l l) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 F F))) (*.f64 l l))) (*.f64 l l) (/.f64 (PI.f64) (*.f64 F F))) l)
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) 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)))) (* 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 (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 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 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F) F) #s(literal -1/840 binary64) (fma.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 (/.f64 (/.f64 #s(literal -1/2 binary64) F) F) (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 l l) (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 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 (PI.f64) l)
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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 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 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 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/5040 binary64)) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (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) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (*.f64 l l))) (*.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 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (PI.f64) l))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (PI.f64) l))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) (*.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 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (PI.f64) l))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (PI.f64) l))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) (*.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)))

rewrite142.0ms (1.9%)

Memory
-8.6MiB live, 152.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
01737
17031
247031
3667731
0820131
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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eval63.0ms (0.8%)

Memory
14.0MiB live, 88.8MiB allocated
Compiler

Compiled 11 925 to 1 272 computations (89.3% saved)

prune61.0ms (0.8%)

Memory
-20.6MiB live, 98.8MiB allocated
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New45818476
Fresh000
Picked011
Done000
Total45819477
Accuracy
98.9%
Counts
477 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.1%
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
63.2%
(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))))))
74.0%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
22.7%
(/.f64 (fma.f64 (neg.f64 (pow.f64 F #s(literal -6 binary64))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) #s(literal 3 binary64)) (pow.f64 (*.f64 l (PI.f64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) #s(literal 2 binary64)) (pow.f64 F #s(literal -4 binary64)) (-.f64 (pow.f64 (*.f64 l (PI.f64)) #s(literal 2 binary64)) (*.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) (*.f64 l (PI.f64))))))
73.6%
(/.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))))))
73.3%
(-.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))))
79.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
79.1%
(-.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))))
74.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F))))
79.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))
73.7%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))))
73.4%
(-.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))))
73.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
66.3%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))))
72.8%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
66.4%
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
53.5%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
66.3%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
74.9%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Compiler

Compiled 642 to 436 computations (32.1% saved)

simplify127.0ms (1.7%)

Memory
16.6MiB live, 136.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 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
(PI.f64)
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-diff0
(/.f64 (PI.f64) F)
cost-diff0
(*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
cost-diff704
(fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64))
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
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
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))
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
040277
068267
1123263
2273263
3693263
41679263
52902260
65291257
08014257
Stop Event
iter limit
node limit
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
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
(*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)
(fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64))
(/.f64 (PI.f64) F)
(PI.f64)
F
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F))
(/.f64 (*.f64 (PI.f64) (PI.f64)) F)
(*.f64 (PI.f64) (PI.f64))
(*.f64 #s(literal -1/3 binary64) (*.f64 l l))
#s(literal -1/3 binary64)
(*.f64 l l)
l
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
(-.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))
(-.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 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))
(*.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))) (pow.f64 F #s(literal -2 binary64)))
(/.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
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (/.f64 l F) F) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) (*.f64 l (PI.f64)) #s(literal -1 binary64)) l) (PI.f64)))
(*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)
(*.f64 (fma.f64 (/.f64 (/.f64 l F) F) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) (*.f64 l (PI.f64)) #s(literal -1 binary64)) l) (PI.f64))
(fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64))
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) (*.f64 l (PI.f64)) #s(literal -1 binary64)) F) (/.f64 (PI.f64) F) (PI.f64))
(/.f64 (PI.f64) F)
(PI.f64)
F
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F))
(fma.f64 (*.f64 (/.f64 l F) #s(literal -1/3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 #s(literal -1 binary64) F))
(/.f64 (*.f64 (PI.f64) (PI.f64)) F)
(*.f64 (/.f64 (PI.f64) F) (PI.f64))
(*.f64 (PI.f64) (PI.f64))
(*.f64 #s(literal -1/3 binary64) (*.f64 l l))
(*.f64 (*.f64 l l) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 l l)
l
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))
(*.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))) (pow.f64 F #s(literal -2 binary64)))
#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))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.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 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)))
(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)))

localize171.0ms (2.3%)

Memory
-14.6MiB live, 140.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy1.3977547653450177
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64)))
accuracy1.4987892397262694
(tan.f64 (*.f64 (PI.f64) l))
accuracy3.5507473816240527
(*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))
accuracy29.78833727332308
(PI.f64)
accuracy0.125
(*.f64 (PI.f64) l)
accuracy0.125
(*.f64 l (PI.f64))
accuracy1.4987892397262694
(tan.f64 (*.f64 l (PI.f64)))
accuracy29.78833727332308
(PI.f64)
accuracy0.2421875
(/.f64 (*.f64 (PI.f64) (PI.f64)) F)
accuracy1.193798621267576
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
accuracy3.5859036316240527
(*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)
accuracy29.78833727332308
(PI.f64)
accuracy0.125
(*.f64 (PI.f64) l)
accuracy15.881446307129641
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
accuracy29.78833727332308
(PI.f64)
accuracy0.125
(*.f64 (PI.f64) l)
accuracy0.125
(*.f64 l (PI.f64))
accuracy1.4987892397262694
(tan.f64 (*.f64 l (PI.f64)))
accuracy29.78833727332308
(PI.f64)
Samples
94.0ms123×0invalid
49.0ms133×0valid
Compiler

Compiled 507 to 71 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-div: 22.0ms (31.6% of total)
ival-mult: 18.0ms (25.9% of total)
ival-tanu: 6.0ms (8.6% of total)
ival-pi: 5.0ms (7.2% of total)
ival-sub: 5.0ms (7.2% of total)
ival-log: 4.0ms (5.7% of total)
const: 4.0ms (5.7% of total)
ival-exp: 3.0ms (4.3% of total)
ival-add: 2.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series45.0ms (0.6%)

Memory
22.5MiB live, 59.7MiB allocated
Counts
18 → 324
Calls
Call 1
Inputs
#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 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<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 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) (patch (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l) (patch (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) F) (patch (/.f64 (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 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (patch (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) #<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 (*.f64 (PI.f64) (PI.f64)) F) (patch (/.f64 (*.f64 (PI.f64) (PI.f64)) F) #<representation binary64>) () ())
#s(alt (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())
#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())
Outputs
#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 (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (patch (/.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) (* (/ 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>) () ())) ())
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#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) (taylor -inf l) (#s(alt (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l) (patch (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) (taylor -inf l) (#s(alt (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l) (patch (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) (taylor -inf l) (#s(alt (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l) (patch (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2)))))) (taylor -inf l) (#s(alt (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l) (patch (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) (taylor -inf l) (#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 -inf l) (#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 -inf l) (#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 -inf l) (#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 (* l (PI)) (taylor -inf l) (#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 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#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 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#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 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#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 (* l (PI)) (taylor -inf l) (#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (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 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (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 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (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 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 l (PI.f64))) (patch (tan.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 l (PI.f64))) (patch (tan.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 l (PI.f64))) (patch (tan.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 l (PI.f64))) (patch (tan.f64 (*.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 (* l (PI)) (taylor -inf l) (#s(alt (*.f64 l (PI.f64)) (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor -inf l) (#s(alt (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (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 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (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 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (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 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (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))) (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
12.0ms
l
@0
((- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (PI) (/ (tan (* l (PI))) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/ (PI) F) (/ F (/ (tan (* l (PI))) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (exp (* (log F) -2)) (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) (tan (* l (PI))) (* l (PI)) (/ (* (PI) (PI)) F) (* (exp (* (log F) -2)) (tan (* (PI) l))) (tan (* (PI) l)))
6.0ms
F
@0
((- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (PI) (/ (tan (* l (PI))) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/ (PI) F) (/ F (/ (tan (* l (PI))) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (exp (* (log F) -2)) (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) (tan (* l (PI))) (* l (PI)) (/ (* (PI) (PI)) F) (* (exp (* (log F) -2)) (tan (* (PI) l))) (tan (* (PI) l)))
4.0ms
F
@-inf
((- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (PI) (/ (tan (* l (PI))) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/ (PI) F) (/ F (/ (tan (* l (PI))) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (exp (* (log F) -2)) (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) (tan (* l (PI))) (* l (PI)) (/ (* (PI) (PI)) F) (* (exp (* (log F) -2)) (tan (* (PI) l))) (tan (* (PI) l)))
4.0ms
F
@inf
((- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (PI) (/ (tan (* l (PI))) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/ (PI) F) (/ F (/ (tan (* l (PI))) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (exp (* (log F) -2)) (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) (tan (* l (PI))) (* l (PI)) (/ (* (PI) (PI)) F) (* (exp (* (log F) -2)) (tan (* (PI) l))) (tan (* (PI) l)))
3.0ms
l
@inf
((- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (PI) (/ (tan (* l (PI))) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/ (PI) F) (/ F (/ (tan (* l (PI))) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (exp (* (log F) -2)) (- (* (PI) l) (* (exp (* (log F) -2)) (tan (* (PI) l)))) (tan (* l (PI))) (* l (PI)) (/ (* (PI) (PI)) F) (* (exp (* (log F) -2)) (tan (* (PI) l))) (tan (* (PI) l)))

simplify222.0ms (2.9%)

Memory
3.2MiB live, 239.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02896190
18625840
232755592
081715431
Stop Event
iter limit
node limit
Counts
324 → 324
Calls
Call 1
Inputs
(* -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))) (* 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)))))
(* -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))
(/ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (pow F 2))
(/ (+ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (* (pow F 2) (PI))) (pow F 2))
(/ (+ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (* (pow F 2) (PI))) (pow F 2))
(/ (+ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (* (pow F 2) (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))
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (* (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 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (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))
(/ (pow (PI) 2) F)
(/ (pow (PI) 2) F)
(/ (pow (PI) 2) F)
(/ (pow (PI) 2) F)
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(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* 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))))))
(* 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))) (* 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)))))
(* 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)))))))))
(* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))
(* (pow l 2) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2)))))
(* (pow l 2) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2)))))
(* (pow l 2) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2)))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))
(* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2)))))
(* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2)))))
(* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2)))))
(/ (* (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))
(* 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)))))))))
(/ (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))) (* (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))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (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))) (* 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)))))
(* 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)))))))))
(* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))
(* (pow l 2) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2)))))
(* (pow l 2) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2)))))
(* (pow l 2) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 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)))))))))
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2))))))
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2))))))
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2))))))
(/ (* (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))
(* -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))) (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))) (* (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))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
Outputs
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (cos.f64 (*.f64 (PI.f64) l)))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (cos.f64 (*.f64 (PI.f64) l)))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (pow F 2))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (/.f64 (/.f64 (PI.f64) F) F))
(/ (+ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (* (pow F 2) (PI))) (pow F 2))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))
(/ (+ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (* (pow F 2) (PI))) (pow F 2))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))
(/ (+ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (* (pow F 2) (PI))) (pow F 2))
(*.f64 (/.f64 (PI.f64) F) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (cos.f64 (*.f64 (PI.f64) l)))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (* (pow F 2) (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 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (cos.f64 (*.f64 (PI.f64) l)))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (cos.f64 (*.f64 (PI.f64) l)))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (pow (PI) 2) F)
(*.f64 (PI.f64) (/.f64 (PI.f64) F))
(/ (pow (PI) 2) F)
(*.f64 (PI.f64) (/.f64 (PI.f64) F))
(/ (pow (PI) 2) F)
(*.f64 (PI.f64) (/.f64 (PI.f64) F))
(/ (pow (PI) 2) F)
(*.f64 (PI.f64) (/.f64 (PI.f64) F))
(/ (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)))
(-.f64 (*.f64 (PI.f64) l) (/.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)))))) (* l (PI)))
(-.f64 (*.f64 (PI.f64) l) (/.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)))))) (* l (PI)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l)))
(* l (PI))
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rewrite179.0ms (2.4%)

Memory
-4.3MiB live, 221.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040186
068178
1252171
22024171
08324171
Stop Event
iter limit
node limit
iter limit
Counts
18 → 726
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)
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
(*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)
(/.f64 (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))))
(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 l (PI.f64)))
(*.f64 l (PI.f64))
(/.f64 (*.f64 (PI.f64) (PI.f64)) F)
(*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)))
(tan.f64 (*.f64 (PI.f64) l))
Outputs
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eval480.0ms (6.3%)

Memory
-15.3MiB live, 447.4MiB allocated
Compiler

Compiled 38 733 to 4 162 computations (89.3% saved)

prune272.0ms (3.6%)

Memory
16.3MiB live, 173.7MiB allocated
Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New1 634131 647
Fresh7613
Picked325
Done011
Total1 644221 666
Accuracy
99.0%
Counts
1 666 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.1%
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
74.0%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
73.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))))
71.8%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) F) F))
79.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64)))))))
74.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
71.8%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F))
60.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 l (PI.f64))))))))
71.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) #s(approx (/ F (/ (tan (* l (PI))) F)) (*.f64 (/.f64 F (PI.f64)) (/.f64 F l)))))
72.7%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 F)) (tan.f64 (*.f64 (PI.f64) l))))
73.4%
(-.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))))
73.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
66.3%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))))
72.8%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
66.4%
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
66.3%
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l))
40.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) #s(literal 2 binary64)) #s(literal -1/3 binary64)) F) (/.f64 #s(literal -1 binary64) F)) (/.f64 (PI.f64) F)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) l) (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) #s(literal 2 binary64)) #s(literal -1/3 binary64)) F) (/.f64 #s(literal -1 binary64) F)) (/.f64 (PI.f64) F) (neg.f64 (PI.f64)))))
66.3%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
74.4%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
74.9%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
19.5%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))))
35.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))))
Compiler

Compiled 632 to 456 computations (27.8% saved)

simplify138.0ms (1.8%)

Memory
-13.4MiB live, 186.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 (*.f64 l (PI.f64)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff384
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
cost-diff0
(*.f64 (/.f64 (PI.f64) F) l)
cost-diff0
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)))
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))))
cost-diff320
(*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))
cost-diff0
(/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) 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) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
cost-diff0
(*.f64 l (PI.f64))
cost-diff0
(tan.f64 (*.f64 l (PI.f64)))
cost-diff0
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
cost-diff576
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057392
091392
1173388
2420387
31142381
42096381
54296378
67236378
08098373
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
l
(PI.f64)
F
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.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
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)
#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))
(*.f64 (/.f64 (PI.f64) F) l)
(/.f64 (PI.f64) F)
F
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))))
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)))
(*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))
(*.f64 (/.f64 (PI.f64) F) l)
(/.f64 (PI.f64) F)
(PI.f64)
F
l
(/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)
(fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64))
(*.f64 (*.f64 l l) #s(literal -1/3 binary64))
(*.f64 l l)
#s(literal -1/3 binary64)
#s(literal -1 binary64)
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(sin.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))
(*.f64 F F)
F
(cos.f64 (*.f64 l (PI.f64)))
Outputs
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan.f64 (*.f64 l (PI.f64)))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
l
(PI.f64)
F
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.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
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F))
(fma.f64 (PI.f64) l (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)
#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))
(*.f64 (/.f64 (PI.f64) F) l)
(/.f64 (PI.f64) F)
F
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (/.f64 (/.f64 l F) F) l) (PI.f64))))
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)))
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (/.f64 (/.f64 l F) F) l) (PI.f64)))
(*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (/.f64 (/.f64 l F) F) l) (PI.f64))
(*.f64 (/.f64 (PI.f64) F) l)
(/.f64 (PI.f64) F)
(PI.f64)
F
l
(/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)
(/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)
(fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)))
(fma.f64 F F (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (PI.f64)) (PI.f64) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (PI.f64)) (PI.f64) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64))
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (PI.f64))
(*.f64 (*.f64 l l) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 l l))
(*.f64 l l)
#s(literal -1/3 binary64)
#s(literal -1 binary64)
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l)))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(sin.f64 (*.f64 l (PI.f64)))
(sin.f64 (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(*.f64 F F)
F
(cos.f64 (*.f64 l (PI.f64)))
(cos.f64 (*.f64 (PI.f64) l))

localize180.0ms (2.4%)

Memory
5.9MiB live, 161.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2109375
(*.f64 l (PI.f64))
accuracy11.48185783970039
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
accuracy29.149029482686768
(cos.f64 (*.f64 l (PI.f64)))
accuracy31.24712109419414
(sin.f64 (*.f64 l (PI.f64)))
accuracy2.003884230844482
(fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)))
accuracy7.21121370334
(*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))
accuracy16.809545085670724
(/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)
accuracy24.10889463398752
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))))
accuracy0.1953125
(*.f64 (/.f64 (PI.f64) F) l)
accuracy0.2109375
(*.f64 (PI.f64) l)
accuracy0.24609375
(/.f64 (PI.f64) F)
accuracy32.627217373773554
#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))
accuracy0.015625
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
accuracy0.43936589565070366
(/.f64 (PI.f64) (*.f64 F F))
accuracy3.6405911316240527
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
accuracy17.90913057722207
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
accuracy0.07421875
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
accuracy0.08203125
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
accuracy0.2109375
(*.f64 l (PI.f64))
accuracy31.286973898132977
(tan.f64 (*.f64 l (PI.f64)))
Samples
126.0ms256×0valid
Compiler

Compiled 606 to 82 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-mult: 29.0ms (31% of total)
ival-pi: 20.0ms (21.4% of total)
ival-div: 14.0ms (15% of total)
ival-sinu: 6.0ms (6.4% of total)
ival-tanu: 6.0ms (6.4% of total)
ival-add: 5.0ms (5.3% of total)
ival-cosu: 5.0ms (5.3% of total)
ival-sub: 4.0ms (4.3% of total)
const: 4.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series62.0ms (0.8%)

Memory
-8.1MiB live, 79.7MiB allocated
Counts
24 → 456
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) 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 #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.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 (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F) (patch (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)) (patch (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))) (patch #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (PI.f64) F) l) (patch (*.f64 (/.f64 (PI.f64) F) l) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))) #<representation binary64>) () ())
#s(alt (sin.f64 (*.f64 l (PI.f64))) (patch (sin.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ())
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Outputs
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Calls

6 calls:

TimeVariablePointExpression
8.0ms
F
@inf
((+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (/ (/ (tan (* l (PI))) F) F) (* (* (/ (PI) F) l) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (* (/ (PI) F) l) (- (* (PI) l) (/ (sin (* l (PI))) (* (* F F) (cos (* l (PI)))))) (sin (* l (PI))) (/ (PI) (* F F)) (/ (tan (* l (PI))) F) (/ (PI) F) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) (cos (* l (PI))) (/ (sin (* l (PI))) (* (* F F) (cos (* l (PI))))))
6.0ms
l
@0
((+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (/ (/ (tan (* l (PI))) F) F) (* (* (/ (PI) F) l) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (* (/ (PI) F) l) (- (* (PI) l) (/ (sin (* l (PI))) (* (* F F) (cos (* l (PI)))))) (sin (* l (PI))) (/ (PI) (* F F)) (/ (tan (* l (PI))) F) (/ (PI) F) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) (cos (* l (PI))) (/ (sin (* l (PI))) (* (* F F) (cos (* l (PI))))))
5.0ms
l
@-inf
((+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (/ (/ (tan (* l (PI))) F) F) (* (* (/ (PI) F) l) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (* (/ (PI) F) l) (- (* (PI) l) (/ (sin (* l (PI))) (* (* F F) (cos (* l (PI)))))) (sin (* l (PI))) (/ (PI) (* F F)) (/ (tan (* l (PI))) F) (/ (PI) F) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) (cos (* l (PI))) (/ (sin (* l (PI))) (* (* F F) (cos (* l (PI))))))
5.0ms
F
@0
((+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (/ (/ (tan (* l (PI))) F) F) (* (* (/ (PI) F) l) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (* (/ (PI) F) l) (- (* (PI) l) (/ (sin (* l (PI))) (* (* F F) (cos (* l (PI)))))) (sin (* l (PI))) (/ (PI) (* F F)) (/ (tan (* l (PI))) F) (/ (PI) F) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) (cos (* l (PI))) (/ (sin (* l (PI))) (* (* F F) (cos (* l (PI))))))
5.0ms
l
@inf
((+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (* (PI) l) (/ (/ (tan (* l (PI))) F) F) (* (* (/ (PI) F) l) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (* (/ (PI) F) l) (- (* (PI) l) (/ (sin (* l (PI))) (* (* F F) (cos (* l (PI)))))) (sin (* l (PI))) (/ (PI) (* F F)) (/ (tan (* l (PI))) F) (/ (PI) F) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) (cos (* l (PI))) (/ (sin (* l (PI))) (* (* F F) (cos (* l (PI))))))

simplify236.0ms (3.1%)

Memory
0.7MiB live, 223.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03987771
112517468
245926777
086486552
Stop Event
iter limit
node limit
Counts
456 → 454
Calls
Call 1
Inputs
(* -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))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(* -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))))))
(/ (- (* (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) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* 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))
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(* -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))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1) F)
(/ (- (+ (* -1/3 (* (pow l 2) (pow (PI) 2))) (pow F 2)) 1) F)
(/ (- (+ (* -1/3 (* (pow l 2) (pow (PI) 2))) (pow F 2)) 1) F)
(/ (- (+ (* -1/3 (* (pow l 2) (pow (PI) 2))) (pow F 2)) 1) F)
(- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)
(- (+ (* -1/3 (* (pow l 2) (pow (PI) 2))) (pow F 2)) 1)
(- (+ (* -1/3 (* (pow l 2) (pow (PI) 2))) (pow F 2)) 1)
(- (+ (* -1/3 (* (pow l 2) (pow (PI) 2))) (pow F 2)) 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)))))
(* 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))) (* 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)))))
(* 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)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (PI))
(+ (* l (PI)) (/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)))
(+ (* l (PI)) (/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)))
(+ (* l (PI)) (/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* l (PI)) (/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)))
(+ (* l (PI)) (/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)))
(+ (* l (PI)) (/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)))
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) 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)))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
F
(* F (- (+ 1 (* -1/3 (/ (* (pow l 2) (pow (PI) 2)) (pow F 2)))) (/ 1 (pow F 2))))
(* F (- (+ 1 (* -1/3 (/ (* (pow l 2) (pow (PI) 2)) (pow F 2)))) (/ 1 (pow F 2))))
(* F (- (+ 1 (* -1/3 (/ (* (pow l 2) (pow (PI) 2)) (pow F 2)))) (/ 1 (pow F 2))))
(pow F 2)
(* (pow F 2) (- (+ 1 (* -1/3 (/ (* (pow l 2) (pow (PI) 2)) (pow F 2)))) (/ 1 (pow F 2))))
(* (pow F 2) (- (+ 1 (* -1/3 (/ (* (pow l 2) (pow (PI) 2)) (pow F 2)))) (/ 1 (pow F 2))))
(* (pow F 2) (- (+ 1 (* -1/3 (/ (* (pow l 2) (pow (PI) 2)) (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)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(* 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)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (PI))
(+ (* l (PI)) (/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)))
(+ (* l (PI)) (/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)))
(+ (* l (PI)) (/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (* l (* (PI) (+ 1 (* 1/3 (* (pow l 2) (pow (PI) 2)))))) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (* (PI) (+ 1 (* 1/3 (* (pow l 2) (pow (PI) 2)))))) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (* (PI) (+ 1 (* 1/3 (* (pow l 2) (pow (PI) 2)))))) (pow F 2))) (* l (PI)))
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) 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)))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
F
(* -1 (* F (- (* -1 (/ (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1) (pow F 2))) 1)))
(* -1 (* F (- (* -1 (/ (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1) (pow F 2))) 1)))
(* -1 (* F (- (* -1 (/ (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1) (pow F 2))) 1)))
(pow F 2)
(* (pow F 2) (- (+ 1 (* -1/3 (/ (* (pow l 2) (pow (PI) 2)) (pow F 2)))) (/ 1 (pow F 2))))
(* (pow F 2) (- (+ 1 (* -1/3 (/ (* (pow l 2) (pow (PI) 2)) (pow F 2)))) (/ 1 (pow F 2))))
(* (pow F 2) (- (+ 1 (* -1/3 (/ (* (pow l 2) (pow (PI) 2)) (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 (/ (PI) (pow F 2)))))
(* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (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 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (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 (- (* 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)))))))))))))
(/ (* l (PI)) F)
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(* l (PI))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2))))))
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2))))))
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2))))))
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(* 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)))
(sin (* l (PI)))
(sin (* l (PI)))
(sin (* l (PI)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(* -1/3 (/ (* (pow l 2) (pow (PI) 2)) F))
(* (pow l 2) (- (+ (* -1/3 (/ (pow (PI) 2) F)) (/ F (pow l 2))) (/ 1 (* F (pow l 2)))))
(* (pow l 2) (- (+ (* -1/3 (/ (pow (PI) 2) F)) (/ F (pow l 2))) (/ 1 (* F (pow l 2)))))
(* (pow l 2) (- (+ (* -1/3 (/ (pow (PI) 2) F)) (/ F (pow l 2))) (/ 1 (* F (pow l 2)))))
(* -1/3 (* (pow l 2) (pow (PI) 2)))
(* (pow l 2) (- (+ (* -1/3 (pow (PI) 2)) (/ (pow F 2) (pow l 2))) (/ 1 (pow l 2))))
(* (pow l 2) (- (+ (* -1/3 (pow (PI) 2)) (/ (pow F 2) (pow l 2))) (/ 1 (pow l 2))))
(* (pow l 2) (- (+ (* -1/3 (pow (PI) 2)) (/ (pow F 2) (pow l 2))) (/ 1 (pow l 2))))
(cos (* l (PI)))
(cos (* l (PI)))
(cos (* 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)))))
Outputs
(* -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))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) 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 (PI.f64)) F) (/.f64 l 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 (/.f64 (neg.f64 (PI.f64)) F) F)
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(* -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) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) (fma.f64 F F #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)))
(/ (- (* (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))))
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F))
(/ (* l (PI)) F)
(*.f64 (/.f64 (PI.f64) F) l)
(/ (* l (PI)) F)
(*.f64 (/.f64 (PI.f64) F) l)
(/ (* l (PI)) F)
(*.f64 (/.f64 (PI.f64) F) l)
(/ (* l (PI)) F)
(*.f64 (/.f64 (PI.f64) F) 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))))
(/ (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))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l)))
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1) F)
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) F)
(/ (- (+ (* -1/3 (* (pow l 2) (pow (PI) 2))) (pow F 2)) 1) F)
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) (fma.f64 F F #s(literal -1 binary64))) F)
(/ (- (+ (* -1/3 (* (pow l 2) (pow (PI) 2))) (pow F 2)) 1) F)
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) (fma.f64 F F #s(literal -1 binary64))) F)
(/ (- (+ (* -1/3 (* (pow l 2) (pow (PI) 2))) (pow F 2)) 1) F)
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) (fma.f64 F F #s(literal -1 binary64))) F)
(- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)
(fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))
(- (+ (* -1/3 (* (pow l 2) (pow (PI) 2))) (pow F 2)) 1)
(fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) (fma.f64 F F #s(literal -1 binary64)))
(- (+ (* -1/3 (* (pow l 2) (pow (PI) 2))) (pow F 2)) 1)
(fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) (fma.f64 F F #s(literal -1 binary64)))
(- (+ (* -1/3 (* (pow l 2) (pow (PI) 2))) (pow F 2)) 1)
(fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) (fma.f64 F F #s(literal -1 binary64)))
(/ (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))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) 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 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(PI)
(PI.f64)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(* 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))))
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rewrite163.0ms (2.2%)

Memory
43.2MiB live, 231.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057319
091315
1352295
23076295
08267288
Stop Event
iter limit
node limit
iter limit
Counts
24 → 627
Calls
Call 1
Inputs
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.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 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F))
(*.f64 (PI.f64) l)
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#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))))
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F)))
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#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))
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Outputs
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eval310.0ms (4.1%)

Memory
2.0MiB live, 399.3MiB allocated
Compiler

Compiled 36 500 to 4 432 computations (87.9% saved)

prune76.0ms (1%)

Memory
-11.7MiB live, 186.1MiB allocated
Pruning

29 alts after pruning (23 fresh and 6 done)

PrunedKeptTotal
New1 674181 692
Fresh9514
Picked235
Done033
Total1 685291 714
Accuracy
99.0%
Counts
1 714 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.1%
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
79.1%
(fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
74.0%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
73.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))))
73.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
74.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
73.9%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))
74.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
71.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) F) l)) F))
71.8%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (PI.f64) (/.f64 l F))) F))
72.7%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 F)) (tan.f64 (*.f64 (PI.f64) l))))
73.4%
(-.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))))
73.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
72.8%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
66.4%
(-.f64 (*.f64 (PI.f64) l) #s(approx (/ (/ (tan (* l (PI))) F) F) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
53.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.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))))
66.2%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))) l))
66.3%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
74.4%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
74.9%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
24.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
19.5%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))))
32.1%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F))))
38.5%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (fma.f64 F F (fma.f64 (pow.f64 (*.f64 (PI.f64) l) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64))) F) l)) F)))
33.4%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 F (fma.f64 F F (fma.f64 (pow.f64 (*.f64 (PI.f64) l) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64)))) F))))
31.3%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 #s(approx (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) (*.f64 F F)) F))))
60.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (-.f64 F (/.f64 #s(literal 1 binary64) F))))))
26.6%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))))))
35.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))))
Compiler

Compiled 876 to 640 computations (26.9% saved)

simplify165.0ms (2.2%)

Memory
26.8MiB live, 215.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (pow.f64 F #s(literal -2 binary64)))
cost-diff0
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))))
cost-diff0
(*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))))
cost-diff0
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))))
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))))))
cost-diff1664
(*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))
cost-diff0
(*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64))
cost-diff0
(fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))
cost-diff0
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)))
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))))
cost-diff0
(/.f64 (neg.f64 (PI.f64)) F)
cost-diff0
(*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))
cost-diff0
#s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
cost-diff0
(tan.f64 (*.f64 (PI.f64) l))
cost-diff0
(neg.f64 (tan.f64 (*.f64 (PI.f64) l)))
cost-diff448
(*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F))
cost-diff576
(fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075685
0122681
1244673
2592668
31529620
42886605
57033605
08036592
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F))
(neg.f64 (tan.f64 (*.f64 (PI.f64) l)))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(*.f64 l (PI.f64))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.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))
(PI.f64)
F
(/.f64 l F)
l
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))))
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64))
(*.f64 (*.f64 l l) #s(literal -1/3 binary64))
(*.f64 l l)
l
#s(literal -1/3 binary64)
(PI.f64)
#s(literal -1 binary64)
(*.f64 (PI.f64) l)
(*.f64 F F)
F
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))))))
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))))
(*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))))
(*.f64 (/.f64 (PI.f64) F) l)
(/.f64 (PI.f64) F)
(PI.f64)
F
l
#s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))
(*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))
(-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F)))
(fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l)))
(*.f64 (PI.f64) (/.f64 (PI.f64) F))
#s(literal -1/3 binary64)
(/.f64 F (*.f64 l l))
(*.f64 l l)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))
#s(literal 1 binary64)
(*.f64 (*.f64 l l) F)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))))
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))
(neg.f64 (pow.f64 F #s(literal -2 binary64)))
(pow.f64 F #s(literal -2 binary64))
F
#s(literal -2 binary64)
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
l
(PI.f64)
Outputs
(fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(neg.f64 (tan.f64 (*.f64 (PI.f64) l)))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F) l)))
#s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))
#s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.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))
(PI.f64)
F
(/.f64 l F)
l
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) l) #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 (neg.f64 (PI.f64)) l)) F) F)))
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)))
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) l) #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 (neg.f64 (PI.f64)) l)) F) F))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))
(/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (PI.f64) l) #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 (neg.f64 (PI.f64)) l)) F) F)
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l))
(fma.f64 (pow.f64 (*.f64 (PI.f64) l) #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 (neg.f64 (PI.f64)) l))
(fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (PI.f64)) (PI.f64) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64))
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (PI.f64))
(*.f64 (*.f64 l l) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (*.f64 l l))
(*.f64 l l)
l
#s(literal -1/3 binary64)
(PI.f64)
#s(literal -1 binary64)
(*.f64 (PI.f64) l)
(*.f64 F F)
F
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (fma.f64 (*.f64 l (/.f64 l F)) (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64)) (-.f64 F (/.f64 #s(literal 1 binary64) F)))) (*.f64 (/.f64 (PI.f64) F) l))))
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))))
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (fma.f64 (*.f64 l (/.f64 l F)) (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64)) (-.f64 F (/.f64 #s(literal 1 binary64) F)))) (*.f64 (/.f64 (PI.f64) F) l)))
(*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))))
(*.f64 #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (fma.f64 (*.f64 l (/.f64 l F)) (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64)) (-.f64 F (/.f64 #s(literal 1 binary64) F)))) (*.f64 (/.f64 (PI.f64) F) l))
(*.f64 (/.f64 (PI.f64) F) l)
(/.f64 (PI.f64) F)
(PI.f64)
F
l
#s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))
#s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (fma.f64 (*.f64 l (/.f64 l F)) (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64)) (-.f64 F (/.f64 #s(literal 1 binary64) F))))
(*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))
(fma.f64 (*.f64 l (/.f64 l F)) (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64)) (-.f64 F (/.f64 #s(literal 1 binary64) F)))
(-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F)))
(-.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) F) (PI.f64)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F)))
(fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l)))
(fma.f64 (*.f64 (/.f64 (PI.f64) F) (PI.f64)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l)))
(*.f64 (PI.f64) (/.f64 (PI.f64) F))
(*.f64 (/.f64 (PI.f64) F) (PI.f64))
#s(literal -1/3 binary64)
(/.f64 F (*.f64 l l))
(*.f64 l l)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))
#s(literal 1 binary64)
(*.f64 (*.f64 l l) F)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))))
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l)))
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
(neg.f64 (pow.f64 F #s(literal -2 binary64)))
(pow.f64 F #s(literal -2 binary64))
F
#s(literal -2 binary64)
(tan.f64 (*.f64 l (PI.f64)))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
l
(PI.f64)

localize273.0ms (3.6%)

Memory
-27.5MiB live, 232.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.23828125
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))))
accuracy0.47227647457071875
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))))
accuracy11.58777895563378
(fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))
accuracy31.286973898132977
(tan.f64 (*.f64 l (PI.f64)))
accuracy7.642918384025296
(*.f64 (*.f64 l l) F)
accuracy8.06954212331413
(/.f64 F (*.f64 l l))
accuracy24.10889463398752
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))))))
accuracy25.849567437607906
(*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))
accuracy0.21875
(*.f64 (*.f64 l l) #s(literal -1/3 binary64))
accuracy11.478498075922085
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))
accuracy24.10889463398752
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))))
accuracy24.54198238486466
#s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)))
accuracy0.174160009768442
(*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))
accuracy0.24609375
(/.f64 (neg.f64 (PI.f64)) F)
accuracy17.90913057722207
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
accuracy30.85876159925683
#s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))
accuracy0.125
(*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F))
accuracy0.2109375
(*.f64 (PI.f64) l)
accuracy0.2109375
(*.f64 l (PI.f64))
accuracy31.286973898132977
(tan.f64 (*.f64 (PI.f64) l))
Samples
170.0ms256×0valid
Compiler

Compiled 908 to 110 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 145.0ms
ival-mult: 44.0ms (30.3% of total)
ival-div: 43.0ms (29.7% of total)
ival-add: 31.0ms (21.4% of total)
ival-pow: 8.0ms (5.5% of total)
ival-tanu: 6.0ms (4.1% of total)
const: 4.0ms (2.8% of total)
ival-neg: 4.0ms (2.8% of total)
ival-sub: 3.0ms (2.1% of total)
ival-pi: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series83.0ms (1.1%)

Memory
8.8MiB live, 127.7MiB allocated
Counts
27 → 528
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (patch (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) #<representation binary64>) () ())
#s(alt (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (patch (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())
#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) #<representation binary64>) () ())
#s(alt #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) (patch #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.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 (neg.f64 (PI.f64)) F) (patch (/.f64 (neg.f64 (PI.f64)) F) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))) (patch #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (patch (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)) (patch (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))))) (patch #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))) (patch (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))) (patch (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))) #<representation binary64>) () ())
#s(alt (neg.f64 (pow.f64 F #s(literal -2 binary64))) (patch (neg.f64 (pow.f64 F #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 l (PI.f64)) (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (patch (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 F (*.f64 l l)) (patch (/.f64 F (*.f64 l l)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 l l) F) (patch (*.f64 (*.f64 l l) F) #<representation binary64>) () ())
#s(alt (tan.f64 (*.f64 l (PI.f64))) (patch (tan.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #<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 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #<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 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #<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 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (patch (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (patch (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (patch (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (patch (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) 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)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) #<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)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) #<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)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) #<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)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.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 #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) (patch #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) (patch #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) (patch #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))) (patch #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.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>) () ())) ())
#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 (/ (PI) F)) (taylor 0 F) (#s(alt (/.f64 (neg.f64 (PI.f64)) F) (patch (/.f64 (neg.f64 (PI.f64)) F) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (PI) F)) (taylor 0 F) (#s(alt (/.f64 (neg.f64 (PI.f64)) F) (patch (/.f64 (neg.f64 (PI.f64)) F) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (PI) F)) (taylor 0 F) (#s(alt (/.f64 (neg.f64 (PI.f64)) F) (patch (/.f64 (neg.f64 (PI.f64)) F) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (PI) F)) (taylor 0 F) (#s(alt (/.f64 (neg.f64 (PI.f64)) F) (patch (/.f64 (neg.f64 (PI.f64)) F) #<representation binary64>) () ())) ())
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#s(alt (* l (PI)) (taylor -inf l) (#s(alt (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))) (patch (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))) (patch (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))) (patch (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI))))))))) (taylor -inf l) (#s(alt (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64))) (patch (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.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 (* 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 (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 (* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2))) (taylor -inf l) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))) (taylor -inf l) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))) (taylor -inf l) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))) (taylor -inf l) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow l 2)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (patch (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow l 2)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (patch (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow l 2)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (patch (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (pow l 2)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (patch (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ F (pow l 2)) (taylor -inf l) (#s(alt (/.f64 F (*.f64 l l)) (patch (/.f64 F (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ F (pow l 2)) (taylor -inf l) (#s(alt (/.f64 F (*.f64 l l)) (patch (/.f64 F (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ F (pow l 2)) (taylor -inf l) (#s(alt (/.f64 F (*.f64 l l)) (patch (/.f64 F (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ F (pow l 2)) (taylor -inf l) (#s(alt (/.f64 F (*.f64 l l)) (patch (/.f64 F (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (* F (pow l 2)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) F) (patch (*.f64 (*.f64 l l) F) #<representation binary64>) () ())) ())
#s(alt (* F (pow l 2)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) F) (patch (*.f64 (*.f64 l l) F) #<representation binary64>) () ())) ())
#s(alt (* F (pow l 2)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) F) (patch (*.f64 (*.f64 l l) F) #<representation binary64>) () ())) ())
#s(alt (* F (pow l 2)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) F) (patch (*.f64 (*.f64 l l) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 l (PI.f64))) (patch (tan.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 l (PI.f64))) (patch (tan.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 l (PI.f64))) (patch (tan.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt (tan.f64 (*.f64 l (PI.f64))) (patch (tan.f64 (*.f64 l (PI.f64))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
18.0ms
F
@0
((+ (* (* (neg (tan (* (PI) l))) (/ -1 F)) (/ -1 F)) (* l (PI))) (* (neg (tan (* (PI) l))) (/ -1 F)) (neg (tan (* (PI) l))) (tan (* (PI) l)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (* (/ (neg (PI)) F) (/ l F)) (/ (neg (PI)) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1) (* (* (* l l) -1/3) (PI)) (* (- (+ (* (* (PI) (/ (PI) F)) -1/3) (/ F (* l l))) (/ 1 (* (* l l) F))) (* l l)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (* (* (/ (PI) F) l) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F)) (/ 1 (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))))) (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI)))) (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))) (neg (pow F -2)) (* l (PI)) (* (PI) l) (/ (* (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1) (* (PI) l)) (* F F)) (* (* l l) -1/3) (/ F (* l l)) (* (* l l) F) (tan (* l (PI))))
10.0ms
l
@0
((+ (* (* (neg (tan (* (PI) l))) (/ -1 F)) (/ -1 F)) (* l (PI))) (* (neg (tan (* (PI) l))) (/ -1 F)) (neg (tan (* (PI) l))) (tan (* (PI) l)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (* (/ (neg (PI)) F) (/ l F)) (/ (neg (PI)) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1) (* (* (* l l) -1/3) (PI)) (* (- (+ (* (* (PI) (/ (PI) F)) -1/3) (/ F (* l l))) (/ 1 (* (* l l) F))) (* l l)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (* (* (/ (PI) F) l) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F)) (/ 1 (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))))) (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI)))) (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))) (neg (pow F -2)) (* l (PI)) (* (PI) l) (/ (* (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1) (* (PI) l)) (* F F)) (* (* l l) -1/3) (/ F (* l l)) (* (* l l) F) (tan (* l (PI))))
6.0ms
l
@inf
((+ (* (* (neg (tan (* (PI) l))) (/ -1 F)) (/ -1 F)) (* l (PI))) (* (neg (tan (* (PI) l))) (/ -1 F)) (neg (tan (* (PI) l))) (tan (* (PI) l)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (* (/ (neg (PI)) F) (/ l F)) (/ (neg (PI)) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1) (* (* (* l l) -1/3) (PI)) (* (- (+ (* (* (PI) (/ (PI) F)) -1/3) (/ F (* l l))) (/ 1 (* (* l l) F))) (* l l)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (* (* (/ (PI) F) l) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F)) (/ 1 (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))))) (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI)))) (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))) (neg (pow F -2)) (* l (PI)) (* (PI) l) (/ (* (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1) (* (PI) l)) (* F F)) (* (* l l) -1/3) (/ F (* l l)) (* (* l l) F) (tan (* l (PI))))
6.0ms
F
@inf
((+ (* (* (neg (tan (* (PI) l))) (/ -1 F)) (/ -1 F)) (* l (PI))) (* (neg (tan (* (PI) l))) (/ -1 F)) (neg (tan (* (PI) l))) (tan (* (PI) l)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (* (/ (neg (PI)) F) (/ l F)) (/ (neg (PI)) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1) (* (* (* l l) -1/3) (PI)) (* (- (+ (* (* (PI) (/ (PI) F)) -1/3) (/ F (* l l))) (/ 1 (* (* l l) F))) (* l l)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (* (* (/ (PI) F) l) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F)) (/ 1 (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))))) (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI)))) (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))) (neg (pow F -2)) (* l (PI)) (* (PI) l) (/ (* (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1) (* (PI) l)) (* F F)) (* (* l l) -1/3) (/ F (* l l)) (* (* l l) F) (tan (* l (PI))))
6.0ms
F
@-inf
((+ (* (* (neg (tan (* (PI) l))) (/ -1 F)) (/ -1 F)) (* l (PI))) (* (neg (tan (* (PI) l))) (/ -1 F)) (neg (tan (* (PI) l))) (tan (* (PI) l)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (* (/ (neg (PI)) F) (/ l F)) (/ (neg (PI)) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1) (* (* (* l l) -1/3) (PI)) (* (- (+ (* (* (PI) (/ (PI) F)) -1/3) (/ F (* l l))) (/ 1 (* (* l l) F))) (* l l)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (* (* (/ (PI) F) l) (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F)) (/ 1 (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))))) (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI)))) (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))) (neg (pow F -2)) (* l (PI)) (* (PI) l) (/ (* (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1) (* (PI) l)) (* F F)) (* (* l l) -1/3) (/ F (* l l)) (* (* l l) F) (tan (* l (PI))))

simplify226.0ms (3%)

Memory
-7.2MiB live, 250.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04809704
115099348
259928611
082288377
Stop Event
iter limit
node limit
Counts
528 → 526
Calls
Call 1
Inputs
(* -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))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(* -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 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (* (pow l 2) (- (* -1/3 (pow (PI) 2)) (/ 1 (pow l 2)))) F)
(/ (+ (* (pow l 2) (- (* -1/3 (pow (PI) 2)) (/ 1 (pow l 2)))) (pow F 2)) F)
(/ (+ (* (pow l 2) (- (* -1/3 (pow (PI) 2)) (/ 1 (pow l 2)))) (pow F 2)) F)
(/ (+ (* (pow l 2) (- (* -1/3 (pow (PI) 2)) (/ 1 (pow l 2)))) (pow F 2)) F)
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* 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 (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))))
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(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2))))))
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2))))))
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2))))))
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))
(* -1 (* (pow l 3) (+ (* -1 (/ (* (PI) (- (pow F 2) 1)) (* (pow F 2) (pow l 2)))) (* 1/3 (/ (pow (PI) 3) (pow F 2))))))
(* -1 (* (pow l 3) (+ (* -1 (/ (* (PI) (- (pow F 2) 1)) (* (pow F 2) (pow l 2)))) (* 1/3 (/ (pow (PI) 3) (pow F 2))))))
(* -1 (* (pow l 3) (+ (* -1 (/ (* (PI) (- (pow F 2) 1)) (* (pow F 2) (pow l 2)))) (* 1/3 (/ (pow (PI) 3) (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 (* l (PI)))
(* -1 (/ (- (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) (/ 1 (PI))) l))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* l (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* l (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) l)) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l))
(* 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))
(* l (PI))
(* l (PI))
(* l (PI))
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))
(* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))))
(* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))))
(* -1 (* (pow l 3) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))))
(* -1/3 (pow l 2))
(* -1/3 (pow l 2))
(* -1/3 (pow l 2))
(* -1/3 (pow l 2))
(/ F (pow l 2))
(/ F (pow l 2))
(/ F (pow l 2))
(/ F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(/ (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
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (/.f64 (PI.f64) F) F)) l)
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l)
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) 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 (/ (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)
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l)))))
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 F F (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) (*.f64 F F))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 F F (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) (*.f64 F F))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 F F (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) (*.f64 F F))
(/ (* (pow l 2) (- (* -1/3 (pow (PI) 2)) (/ 1 (pow l 2)))) F)
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 l l))) (/.f64 (*.f64 l l) F))
(/ (+ (* (pow l 2) (- (* -1/3 (pow (PI) 2)) (/ 1 (pow l 2)))) (pow F 2)) F)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 l l))) (*.f64 l l) (*.f64 F F)) F)
(/ (+ (* (pow l 2) (- (* -1/3 (pow (PI) 2)) (/ 1 (pow l 2)))) (pow F 2)) F)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 l l))) (*.f64 l l) (*.f64 F F)) F)
(/ (+ (* (pow l 2) (- (* -1/3 (pow (PI) 2)) (/ 1 (pow l 2)))) (pow F 2)) F)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 l l))) (*.f64 l l) (*.f64 F F)) F)
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l)))))
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 F F (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) (*.f64 F F))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 F F (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) (*.f64 F F))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 F F (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) (*.f64 F F))
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 F F (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) (*.f64 F F))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 F F (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) (*.f64 F F))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 F F (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal -1 binary64)))) (*.f64 F F))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l)))))
(* -1 (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))))
(/.f64 (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* -1 (/ (* (pow F 2) (* l (* (PI) (pow (cos (* l (PI))) 2)))) (pow (sin (* l (PI))) 2)))))
(*.f64 (*.f64 (neg.f64 F) F) (fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)) (*.f64 (PI.f64) l)) (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64))) (*.f64 F F) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l)))))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3)))) (pow (sin (* l (PI))) 3))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2))))))
(*.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) F) F) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 3 binary64)) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)) (*.f64 (PI.f64) l)) (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64))))) (*.f64 F F) (/.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 F F))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 4)))) (pow (sin (* l (PI))) 4))) (/ (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3))) (pow (sin (* l (PI))) 3)))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2))))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)) (PI.f64))) (/.f64 l (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64))) (*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64))) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 4 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 4 binary64))) (*.f64 F F) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) l)) (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 3 binary64))))) (*.f64 F F))) (*.f64 F F) (/.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 F F))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l)))))
(/ -1 (pow F 2))
(/.f64 #s(literal -1 binary64) (*.f64 F F))
(/ -1 (pow F 2))
(/.f64 #s(literal -1 binary64) (*.f64 F F))
(/ -1 (pow F 2))
(/.f64 #s(literal -1 binary64) (*.f64 F F))
(/ -1 (pow F 2))
(/.f64 #s(literal -1 binary64) (*.f64 F F))
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2))
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rewrite237.0ms (3.1%)

Memory
22.8MiB live, 307.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075530
0122534
1466492
23950492
08241478
Stop Event
iter limit
node limit
iter limit
Counts
27 → 640
Calls
Call 1
Inputs
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Outputs
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eval199.0ms (2.6%)

Memory
8.0MiB live, 308.7MiB allocated
Compiler

Compiled 29 565 to 2 829 computations (90.4% saved)

prune96.0ms (1.3%)

Memory
-22.4MiB live, 158.6MiB allocated
Pruning

33 alts after pruning (25 fresh and 8 done)

PrunedKeptTotal
New1 21881 226
Fresh11718
Picked235
Done156
Total1 222331 255
Accuracy
99.0%
Counts
1 255 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.1%
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
79.1%
(fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
74.0%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
73.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))))
74.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))) (*.f64 (PI.f64) l))))
73.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
74.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
73.9%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))
71.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) F) l)) F))
72.7%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 F)) (tan.f64 (*.f64 (PI.f64) l))))
73.4%
(-.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))))
73.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
72.8%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
66.4%
(-.f64 (*.f64 (PI.f64) l) #s(approx (/ (/ (tan (* l (PI))) F) F) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
21.6%
#s(approx (/ 1 (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))))) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l)))))
53.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.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))))
66.2%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))) l))
66.3%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
74.4%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
74.9%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
19.6%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))))
24.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
24.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
24.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
19.3%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))))
19.5%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))))
32.1%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F))))
38.5%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (fma.f64 F F (fma.f64 (pow.f64 (*.f64 (PI.f64) l) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64))) F) l)) F)))
33.4%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 F (fma.f64 F F (fma.f64 (pow.f64 (*.f64 (PI.f64) l) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64)))) F))))
31.3%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 #s(approx (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) (*.f64 F F)) F))))
60.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (-.f64 F (/.f64 #s(literal 1 binary64) F))))))
26.6%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) #s(approx (* (- (+ (* (* (PI) (/ (PI) F)) -1/3) (/ F (* l l))) (/ 1 (* (* l l) F))) (* l l)) (*.f64 (+.f64 (/.f64 F (*.f64 l l)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 l l))) F)) (*.f64 l l)))))))
35.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))))
Compiler

Compiled 1 498 to 679 computations (54.7% saved)

regimes128.0ms (1.7%)

Memory
12.1MiB live, 243.1MiB allocated
Counts
58 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))) (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
(-.f64 (*.f64 (PI.f64) l) #s(approx (/ (/ (tan (* l (PI))) F) F) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (-.f64 F (/.f64 #s(literal 1 binary64) F))))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (PI.f64) (/.f64 l F))) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F))
(-.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)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 #s(approx (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) (*.f64 F F)) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) #s(approx (/ F (/ (tan (* l (PI))) F)) (*.f64 (/.f64 F (PI.f64)) (/.f64 F l)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) F) l)) F))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) #s(approx (* (- (+ (* (* (PI) (/ (PI) F)) -1/3) (/ F (* l l))) (/ 1 (* (* l l) F))) (* l l)) (*.f64 (+.f64 (/.f64 F (*.f64 l l)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 l l))) F)) (*.f64 l l)))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.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))
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))))
(fma.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(-.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) (neg.f64 (/.f64 F (tan.f64 (*.f64 l (PI.f64)))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 F (fma.f64 F F (fma.f64 (pow.f64 (*.f64 (PI.f64) l) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64)))) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (fma.f64 F F (fma.f64 (pow.f64 (*.f64 (PI.f64) l) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1 binary64))) F) l)) 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
#s(approx (/ 1 (/ 1 (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))))) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/.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))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))) (tan.f64 (*.f64 l (PI.f64))) (*.f64 l (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.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 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.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))))
(-.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))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 l (PI.f64))))))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 F)) (tan.f64 (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) #s(literal 2 binary64)) #s(literal -1/3 binary64)) F) (/.f64 #s(literal -1 binary64) F)) (/.f64 (PI.f64) F)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) l) (fma.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 l (PI.f64)) #s(literal 2 binary64)) #s(literal -1/3 binary64)) F) (/.f64 #s(literal -1 binary64) F)) (/.f64 (PI.f64) F) (neg.f64 (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 l (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(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))))))
(/.f64 (fma.f64 (neg.f64 (pow.f64 F #s(literal -6 binary64))) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) #s(literal 3 binary64)) (pow.f64 (*.f64 l (PI.f64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) #s(literal 2 binary64)) (pow.f64 F #s(literal -4 binary64)) (-.f64 (pow.f64 (*.f64 l (PI.f64)) #s(literal 2 binary64)) (*.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) (*.f64 l (PI.f64))))))
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

6 calls:

38.0ms
F
19.0ms
(*.f64 (PI.f64) l)
19.0ms
(/.f64 #s(literal 1 binary64) (*.f64 F F))
16.0ms
l
16.0ms
(*.f64 F F)
Results
AccuracySegmentsBranch
82.5%3F
98.7%2l
89.2%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
98.7%2(*.f64 (PI.f64) l)
79.1%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
79.1%1(*.f64 F F)
Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes69.0ms (0.9%)

Memory
18.2MiB live, 50.5MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))) (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
(-.f64 (*.f64 (PI.f64) l) #s(approx (/ (/ (tan (* l (PI))) F) F) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (-.f64 F (/.f64 #s(literal 1 binary64) F))))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (PI.f64) (/.f64 l F))) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F))
(-.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)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 #s(approx (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) (*.f64 F F)) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) #s(approx (/ F (/ (tan (* l (PI))) F)) (*.f64 (/.f64 F (PI.f64)) (/.f64 F l)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (*.f64 (PI.f64) l) (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) (fma.f64 F F #s(literal -1 binary64)))) (*.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) (/.f64 (fma.f64 F F (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) (PI.f64)) (PI.f64) #s(literal -1 binary64))) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) F) l)) F))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) #s(approx (* (- (+ (* (* (PI) (/ (PI) F)) -1/3) (/ F (* l l))) (/ 1 (* (* l l) F))) (* l l)) (*.f64 (+.f64 (/.f64 F (*.f64 l l)) (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 l l))) F)) (*.f64 l l)))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (*.f64 (-.f64 (fma.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) F)) #s(literal -1/3 binary64) (/.f64 F (*.f64 l l))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) F))) (*.f64 l l))))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.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
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (PI.f64) (/.f64 l F))) F))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

2 calls:

58.0ms
(*.f64 (PI.f64) l)
9.0ms
l
Results
AccuracySegmentsBranch
97.7%2l
97.7%2(*.f64 (PI.f64) l)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes13.0ms (0.2%)

Memory
-11.4MiB live, 23.5MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))) (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
(-.f64 (*.f64 (PI.f64) l) #s(approx (/ (/ (tan (* l (PI))) F) F) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
#s(approx (- (* (PI) l) (/ (/ (tan (* l (PI))) F) F)) (*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (*.f64 (*.f64 (/.f64 (PI.f64) F) l) #s(approx (/ (+ (* F F) (+ (* (* (* (* l l) -1/3) (PI)) (PI)) -1)) F) (-.f64 F (/.f64 #s(literal 1 binary64) F))))))
Outputs
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.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:

8.0ms
(*.f64 (PI.f64) l)
4.0ms
l
Results
AccuracySegmentsBranch
92.3%2l
92.3%2(*.f64 (PI.f64) l)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes7.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (neg (pow F -2)) (tan (* l (PI)))) (* l (PI))) (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
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
92.3%2l
92.3%2(*.f64 (PI.f64) l)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes10.0ms (0.1%)

Memory
-23.8MiB live, 12.9MiB allocated
Counts
3 → 4
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))))
Outputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F 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)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

3 calls:

5.0ms
(-.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
86.7%4(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
74.9%1l
74.9%1(*.f64 (PI.f64) l)
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes2.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
Counts
2 → 4
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))))
Outputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F 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)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

1 calls:

2.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Results
AccuracySegmentsBranch
86.4%4(-.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)

regimes8.0ms (0.1%)

Memory
21.2MiB live, 21.2MiB 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 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
1.0ms
(*.f64 (PI.f64) l)
1.0ms
F
1.0ms
l
1.0ms
(*.f64 F F)
Results
AccuracySegmentsBranch
74.9%1l
74.9%1(*.f64 (PI.f64) l)
74.9%1(*.f64 F F)
74.9%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
74.9%1F
74.9%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
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
576030368840893.3
4415845407209705.0
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
175973409922605.8
243242953973332.84
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
175973409922605.8
243242953973332.84
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
175973409922605.8
243242953973332.84
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.483404512330653e-132
1.6582032199921386e-302
0.0ms
-1.0166315151860027e+124
-2.4271893090512022e+120
0.0ms
-7.834774214928524e+276
-1.6869012351429806e+272
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.483404512330653e-132
1.6582032199921386e-302
0.0ms
-1.0166315151860027e+124
-2.4271893090512022e+120
0.0ms
-7.834774214928524e+276
-1.6869012351429806e+272
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify93.0ms (1.2%)

Memory
-4.7MiB live, 80.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068462
1120406
2228406
3417406
4670406
51341406
62828406
74795406
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 1000000000000000 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 200000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (PI.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 200000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.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 (PI.f64) l) #s(literal 200000000000000 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 -5000000000000000014339392554976861624351030032307491891786714963455192826951136079841645978666612324808479156564299152005093968192740890223899883592402933027172967020052041660293849107704861024718326980908701245637596009600853559934996040535864898581843704726957456644770889728 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))) (if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -9999999999999999483531874467312143214394768377282087351960514613084929070487027419252537449089020883885200422613425626021888 binary64)) #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 -399583814440447/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) #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 -5000000000000000014339392554976861624351030032307491891786714963455192826951136079841645978666612324808479156564299152005093968192740890223899883592402933027172967020052041660293849107704861024718326980908701245637596009600853559934996040535864898581843704726957456644770889728 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) (if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -9999999999999999483531874467312143214394768377282087351960514613084929070487027419252537449089020883885200422613425626021888 binary64)) #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 -399583814440447/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F 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 (PI.f64) l))
Outputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 1000000000000000 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 1000000000000000 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 200000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (PI.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 200000000000000 binary64)) (-.f64 (*.f64 l (PI.f64)) (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 l F) (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 200000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.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 200000000000000 binary64)) (-.f64 (*.f64 l (PI.f64)) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.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 (PI.f64) l) #s(literal 200000000000000 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 200000000000000 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 -5000000000000000014339392554976861624351030032307491891786714963455192826951136079841645978666612324808479156564299152005093968192740890223899883592402933027172967020052041660293849107704861024718326980908701245637596009600853559934996040535864898581843704726957456644770889728 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))) (if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -9999999999999999483531874467312143214394768377282087351960514613084929070487027419252537449089020883885200422613425626021888 binary64)) #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 -399583814440447/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))))
(if (<=.f64 (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 F F) #s(literal -1 binary64)))) #s(literal -5000000000000000014339392554976861624351030032307491891786714963455192826951136079841645978666612324808479156564299152005093968192740890223899883592402933027172967020052041660293849107704861024718326980908701245637596009600853559934996040535864898581843704726957456644770889728 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))) (if (or (<=.f64 (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 F F) #s(literal -1 binary64)))) #s(literal -9999999999999999483531874467312143214394768377282087351960514613084929070487027419252537449089020883885200422613425626021888 binary64)) (not (<=.f64 (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 F F) #s(literal -1 binary64)))) #s(literal -399583814440447/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 l) (/.f64 (PI.f64) (*.f64 F F)))))))
(if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -5000000000000000014339392554976861624351030032307491891786714963455192826951136079841645978666612324808479156564299152005093968192740890223899883592402933027172967020052041660293849107704861024718326980908701245637596009600853559934996040535864898581843704726957456644770889728 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) (if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -9999999999999999483531874467312143214394768377282087351960514613084929070487027419252537449089020883885200422613425626021888 binary64)) #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 -399583814440447/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))))
(if (or (<=.f64 (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 F F) #s(literal -1 binary64)))) #s(literal -5000000000000000014339392554976861624351030032307491891786714963455192826951136079841645978666612324808479156564299152005093968192740890223899883592402933027172967020052041660293849107704861024718326980908701245637596009600853559934996040535864898581843704726957456644770889728 binary64)) (not (or (<=.f64 (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 F F) #s(literal -1 binary64)))) #s(literal -9999999999999999483531874467312143214394768377282087351960514613084929070487027419252537449089020883885200422613425626021888 binary64)) (not (<=.f64 (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 (*.f64 F F) #s(literal -1 binary64)))) #s(literal -399583814440447/199791907220223502808422222706762643567910281130558153654986045416023791284464999687699590596063486154228923591770023865308670443474450259602571264 binary64)))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 l) (/.f64 (PI.f64) (*.f64 F F))))) #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)))

soundness1.1s (14.4%)

Memory
-32.4MiB live, 865.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01491427
14321349
215041209
370611170
083901145
057319
091315
1352295
23076295
08267288
03987771
112517468
245926777
086486552
075530
0122534
1466492
23950492
08241478
01037
01737
17031
247031
3667731
0820131
02896190
18625840
232755592
081715431
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
iter limit
iter limit
node limit
Compiler

Compiled 430 to 206 computations (52.1% saved)

preprocess224.0ms (3%)

Memory
20.8MiB live, 169.4MiB allocated
Remove

(abs F)

Compiler

Compiled 758 to 276 computations (63.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...