VandenBroeck and Keller, Equation (6)

Time bar (total: 7.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze210.0ms (2.8%)

Memory
20.4MiB live, 254.8MiB 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)

sample958.0ms (12.8%)

Memory
22.9MiB live, 1 017.4MiB allocated
Samples
687.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 452.0ms
ival-tanu: 172.0ms (38.1% of total)
ival-mult: 143.0ms (31.6% of total)
ival-div: 52.0ms (11.5% of total)
ival-sub: 37.0ms (8.2% of total)
ival-pi: 34.0ms (7.5% of total)
ival-true: 6.0ms (1.3% of total)
exact: 5.0ms (1.1% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain147.0ms (2%)

Memory
-1.8MiB live, 199.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1310-0-(tan.f64 (*.f64 (PI.f64) l))
510-0-(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
30-0-(/.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))sensitivity1310
*.f64(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))n*o160
Confusion
Predicted +Predicted -
+660
-81109
Precision
0.4489795918367347
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6600
-810109
Precision?
0.4489795918367347
Recall?
1.0
Freqs
test
numberfreq
0109
1147
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
45.0ms512×0valid
Compiler

Compiled 104 to 34 computations (67.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-tanu: 11.0ms (38.8% of total)
ival-mult: 9.0ms (31.8% of total)
ival-div: 3.0ms (10.6% of total)
ival-pi: 2.0ms (7.1% of total)
ival-sub: 2.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess70.0ms (0.9%)

Memory
1.1MiB live, 78.5MiB allocated
Algorithm
egg-herbie
Rules
602×times-frac
336×lower-fma.f64
336×lower-fma.f32
256×lower-*.f32
250×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

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

(abs F)

(negabs l)

Compiler

Compiled 14 to 10 computations (28.6% saved)

eval2.0ms (0%)

Memory
2.2MiB live, 2.2MiB 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
75.4%
(-.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)

simplify23.0ms (0.3%)

Memory
22.2MiB live, 22.2MiB 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)))
Rules
336×lower-fma.f64
336×lower-fma.f32
256×lower-*.f32
250×lower-*.f64
136×div-sub
Iterations

Useful iterations: 1 (0.0ms)

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

localize34.0ms (0.5%)

Memory
-2.9MiB live, 38.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.27734375
(*.f64 (PI.f64) l)
accuracy0.5234858272197669
(/.f64 #s(literal 1 binary64) (*.f64 F F))
accuracy12.341908004315115
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
accuracy31.24310818662169
(tan.f64 (*.f64 (PI.f64) l))
Samples
27.0ms256×0valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-tanu: 8.0ms (42.7% of total)
ival-mult: 4.0ms (21.4% of total)
ival-pi: 3.0ms (16% of total)
ival-div: 2.0ms (10.7% of total)
ival-sub: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
-20.1MiB live, 17.6MiB 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>) () ())) ())
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#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)))

simplify198.0ms (2.7%)

Memory
35.4MiB live, 150.3MiB allocated
Algorithm
egg-herbie
Rules
17 378×lower-fma.f64
17 378×lower-fma.f32
6 854×lower-*.f64
6 854×lower-*.f32
2 798×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite205.0ms (2.8%)

Memory
-19.4MiB live, 175.0MiB allocated
Rules
4 686×lower-fma.f64
4 686×lower-fma.f32
3 978×lower-*.f32
3 972×lower-*.f64
2 176×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
01737
17031
246731
3666931
0819131
Stop Event
iter limit
node limit
iter limit
Counts
6 → 308
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (PI.f64) l)
(PI.f64)
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
Outputs
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eval68.0ms (0.9%)

Memory
7.6MiB live, 81.6MiB allocated
Compiler

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

prune56.0ms (0.8%)

Memory
3.6MiB live, 87.8MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New46115476
Fresh000
Picked011
Done000
Total46116477
Accuracy
99.0%
Counts
477 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.2%
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
75.2%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) l) (sqrt.f64 (PI.f64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
75.8%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
75.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))))
75.1%
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
81.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
81.2%
(-.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))))
81.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
81.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))
75.5%
(-.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))))
75.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
68.0%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 (PI.f64) l))))
74.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
21.3%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
68.0%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
74.2%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Compiler

Compiled 426 to 330 computations (22.5% saved)

simplify102.0ms (1.4%)

Memory
18.1MiB live, 55.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 (*.f64 (PI.f64) l))
cost-diff0
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
cost-diff0
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))
cost-diff384
(/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))
cost-diff0
(tan.f64 (*.f64 l (PI.f64)))
cost-diff0
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
cost-diff0
(*.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)))
Rules
912×lower-fma.f32
908×lower-fma.f64
832×lower-*.f32
826×lower-*.f64
676×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031217
051217
193211
2171208
3358208
4583208
5784208
61123208
71603208
82217208
92638208
102970208
113038208
123042208
133043208
143043208
153043208
03043208
Stop Event
iter limit
saturated
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 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(PI.f64)
l
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (neg.f64 F) F)
(neg.f64 F)
F
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))
#s(literal 1 binary64)
(/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))
F
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
(sin.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (neg.f64 F) F)
(neg.f64 F)
F
(cos.f64 (*.f64 (PI.f64) l))
Outputs
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.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 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(PI.f64)
l
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
(tan.f64 (*.f64 l (PI.f64)))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(*.f64 (neg.f64 F) F)
(neg.f64 F)
F
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
#s(literal 1 binary64)
(/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))
(/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))
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)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
(sin.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (neg.f64 F) F)
(neg.f64 F)
F
(cos.f64 (*.f64 (PI.f64) l))

localize164.0ms (2.2%)

Memory
-28.5MiB live, 129.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.47463081088979586
(sin.f64 (*.f64 (PI.f64) l))
accuracy3.5428711594186453
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
accuracy15.573848577689208
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
accuracy30.757063688715704
(PI.f64)
accuracy0.125
(*.f64 l (PI.f64))
accuracy0.3704427550191733
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))
accuracy0.47994259134177175
(tan.f64 (*.f64 l (PI.f64)))
accuracy30.757063688715704
(PI.f64)
accuracy0.125
(*.f64 l (PI.f64))
accuracy0.47994259134177175
(tan.f64 (*.f64 l (PI.f64)))
accuracy3.5428711594186453
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))
accuracy30.757063688715704
(PI.f64)
accuracy0.125
(*.f64 (PI.f64) l)
accuracy16.02888069955234
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
accuracy30.757063688715704
(PI.f64)
accuracy0.09765625
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
accuracy0.125
(*.f64 l (PI.f64))
accuracy0.47994259134177175
(tan.f64 (*.f64 l (PI.f64)))
accuracy30.757063688715704
(PI.f64)
Samples
41.0ms127×0invalid
27.0ms129×0valid
Compiler

Compiled 202 to 29 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-div: 15.0ms (29.6% of total)
ival-tanu: 9.0ms (17.8% of total)
ival-mult: 8.0ms (15.8% of total)
ival-cosu: 7.0ms (13.8% of total)
ival-sinu: 6.0ms (11.8% of total)
ival-add: 2.0ms (3.9% of total)
ival-sub: 2.0ms (3.9% of total)
ival-pi: 1.0ms (2% of total)
ival-neg: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory
23.0MiB live, 60.1MiB allocated
Counts
16 → 312
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 (PI.f64) l)) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.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 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) (patch (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) (patch (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) #<representation binary64>) () ())
#s(alt (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) (patch (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) (patch (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (patch (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())
#s(alt (sin.f64 (*.f64 (PI.f64) l)) (patch (sin.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 (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 (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#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 (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#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 (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#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 (/ (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>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) (patch (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) (patch (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) (patch (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2)) (taylor 0 F) (#s(alt (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) (patch (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) (patch (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) (patch (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) (patch (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) (patch (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) (patch (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) (taylor 0 F) (#s(alt (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) (patch (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) (taylor 0 F) (#s(alt (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) (patch (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) (taylor 0 F) (#s(alt (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) (patch (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))) (taylor 0 F) (#s(alt (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) (patch (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2)) (taylor 0 F) (#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))) #<representation binary64>) () ())) ())
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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 (-.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 #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.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 #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.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 #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.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 #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor -inf l) (#s(alt (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) (patch (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor -inf l) (#s(alt (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) (patch (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor -inf l) (#s(alt (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) (patch (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor -inf l) (#s(alt (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) (patch (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (pow F 2))) (taylor -inf l) (#s(alt (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (patch (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (pow F 2))) (taylor -inf l) (#s(alt (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (patch (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (pow F 2))) (taylor -inf l) (#s(alt (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (patch (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (pow F 2))) (taylor -inf l) (#s(alt (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (patch (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())) ())
#s(alt (sin (* l (PI))) (taylor -inf l) (#s(alt (sin.f64 (*.f64 (PI.f64) l)) (patch (sin.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (sin (* l (PI))) (taylor -inf l) (#s(alt (sin.f64 (*.f64 (PI.f64) l)) (patch (sin.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (sin (* l (PI))) (taylor -inf l) (#s(alt (sin.f64 (*.f64 (PI.f64) l)) (patch (sin.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
#s(alt (sin (* l (PI))) (taylor -inf l) (#s(alt (sin.f64 (*.f64 (PI.f64) l)) (patch (sin.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
9.0ms
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) l) (PI) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (/ 1 (/ F (/ (tan (* l (PI))) F))) (/ F (/ (tan (* l (PI))) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/ (/ (sin (* (PI) l)) (* (neg F) F)) (cos (* (PI) l))) (/ (sin (* (PI) l)) (* (neg F) F)) (sin (* (PI) l)))
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) l) (PI) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (/ 1 (/ F (/ (tan (* l (PI))) F))) (/ F (/ (tan (* l (PI))) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/ (/ (sin (* (PI) l)) (* (neg F) F)) (cos (* (PI) l))) (/ (sin (* (PI) l)) (* (neg F) F)) (sin (* (PI) l)))
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) l) (PI) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (/ 1 (/ F (/ (tan (* l (PI))) F))) (/ F (/ (tan (* l (PI))) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/ (/ (sin (* (PI) l)) (* (neg F) F)) (cos (* (PI) l))) (/ (sin (* (PI) l)) (* (neg F) F)) (sin (* (PI) l)))
4.0ms
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) l) (PI) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (/ 1 (/ F (/ (tan (* l (PI))) F))) (/ F (/ (tan (* l (PI))) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/ (/ (sin (* (PI) l)) (* (neg F) F)) (cos (* (PI) l))) (/ (sin (* (PI) l)) (* (neg F) F)) (sin (* (PI) l)))
3.0ms
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) l) (PI) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (/ 1 (/ F (/ (tan (* l (PI))) F))) (/ F (/ (tan (* l (PI))) F)) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/ (/ (sin (* (PI) l)) (* (neg F) F)) (cos (* (PI) l))) (/ (sin (* (PI) l)) (* (neg F) F)) (sin (* (PI) l)))

simplify265.0ms (3.6%)

Memory
19.9MiB live, 249.4MiB allocated
Algorithm
egg-herbie
Rules
16 328×lower-fma.f64
16 328×lower-fma.f32
5 670×lower-*.f64
5 670×lower-*.f32
4 170×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03316175
110565988
240035432
086175309
Stop Event
iter limit
node limit
Counts
312 → 312
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 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ (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 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ (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 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(* 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))))))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (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))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* (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)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(sin (* l (PI)))
(sin (* l (PI)))
(sin (* l (PI)))
(sin (* 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 (/.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 (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 (/ (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 (/ (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))) (* (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))) (* (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))) (* (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))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (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 (/ (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 (/ (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))) (* (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))) (* (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))) (* (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))) (pow F 2)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (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 (/.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l)))))
(* l (PI))
(*.f64 (PI.f64) l)
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.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 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l)))))
(* -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))) (* (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))) (* (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))) (* (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))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(* l (PI))
(*.f64 (PI.f64) l)
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(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))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(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))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(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))
(*.f64 (PI.f64) l)
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(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))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(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))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(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))) (* (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))) (* (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))) (* (pow F 2) (cos (* l (PI))))))
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(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (PI))
(*.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)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (/ (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))) (* (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))) (* (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))) (* (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))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(* l (PI))
(*.f64 (PI.f64) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (/ (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))) (* (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))) (* (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))) (* (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))) (pow F 2)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
(sin (* l (PI)))
(sin.f64 (*.f64 (PI.f64) l))
(sin (* l (PI)))
(sin.f64 (*.f64 (PI.f64) l))
(sin (* l (PI)))
(sin.f64 (*.f64 (PI.f64) l))
(sin (* l (PI)))
(sin.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)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) 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)))
(/ (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)))
(* l (PI))
(*.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)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) 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)
(* l (PI))
(*.f64 (PI.f64) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (/ (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))) (* (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))) (* (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))) (* (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))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(* l (PI))
(*.f64 (PI.f64) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (/ (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))) (* (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))) (* (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))) (* (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))) (pow F 2)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
(* -1 (/ (sin (* l (PI))) (pow F 2)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
(sin (* l (PI)))
(sin.f64 (*.f64 (PI.f64) l))
(sin (* l (PI)))
(sin.f64 (*.f64 (PI.f64) l))
(sin (* l (PI)))
(sin.f64 (*.f64 (PI.f64) l))
(sin (* l (PI)))
(sin.f64 (*.f64 (PI.f64) l))

rewrite229.0ms (3.1%)

Memory
4.7MiB live, 245.0MiB allocated
Rules
13 162×lower-fma.f32
13 158×lower-fma.f64
4 868×lower-*.f32
4 862×lower-*.f64
4 504×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031157
051152
1212138
21575138
08396138
Stop Event
iter limit
node limit
iter limit
Counts
16 → 947
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 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))
(/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
(sin.f64 (*.f64 (PI.f64) l))
Outputs
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eval680.0ms (9.1%)

Memory
-29.2MiB live, 469.7MiB allocated
Compiler

Compiled 35 777 to 3 107 computations (91.3% saved)

prune77.0ms (1%)

Memory
4.2MiB live, 159.3MiB allocated
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New1 784151 799
Fresh8210
Picked325
Done101
Total1 796191 815
Accuracy
99.1%
Counts
1 815 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.3%
(fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
73.8%
(fma.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
75.9%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)))
75.8%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
73.8%
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
75.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))))
81.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(literal 1 binary64) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))
73.8%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)))))
74.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
68.0%
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
26.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
21.3%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
21.5%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) l))))
21.4%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
21.3%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
73.9%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
74.2%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
1.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (neg.f64 F) F) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))))
25.6%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (/ (sin (* (PI) l)) (* (neg F) F)) (cos (* (PI) l))) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
Compiler

Compiled 490 to 398 computations (18.8% saved)

simplify169.0ms (2.3%)

Memory
-16.9MiB live, 140.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)))
cost-diff12864
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff0
(pow.f64 (PI.f64) #s(literal 3 binary64))
cost-diff0
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
cost-diff12864
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 F #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))))
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 (/ (tan (* l (PI))) F)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
cost-diff0
(tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))
cost-diff0
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) F)
cost-diff576
(fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
cost-diff12864
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
Rules
5 574×lower-fma.f32
5 570×lower-fma.f64
1 784×lower-+.f64
1 784×lower-+.f32
1 724×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045278
073240
1130236
2220230
3406230
4668230
5988230
61424230
72124230
82911230
93317230
103562230
113787230
123994230
134499230
145039230
157259230
08038230
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) F)
(tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
l
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
F
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
(*.f64 l (PI.f64))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 F F)
F
l
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 #s(literal 1 binary64) (/.f64 F #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))))
#s(literal 1 binary64)
(/.f64 F #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)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
l
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)))
(PI.f64)
l
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F))
(tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (neg.f64 F) F)
(neg.f64 F)
F
Outputs
(fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 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 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) F)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 (PI.f64) l)
l
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
F
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(*.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(literal 1 binary64) (/.f64 F #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)))))
(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(literal 1 binary64) (/.f64 F #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))))
(/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)
#s(literal 1 binary64)
(/.f64 F #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)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)
(*.f64 (PI.f64) l)
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
l
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(PI.f64)
l
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
(tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 (PI.f64) l)
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (neg.f64 F) F)
(neg.f64 F)
F

localize170.0ms (2.3%)

Memory
24.8MiB live, 139.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.50390625
(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy0.50390625
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
accuracy3.5428711594186453
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F))
accuracy30.757063688715704
(PI.f64)
accuracy0.50390625
(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy0.50390625
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
accuracy16.02888069955234
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
accuracy30.757063688715704
(PI.f64)
accuracy0.14453125
(/.f64 (PI.f64) F)
accuracy0.3704427550191733
(/.f64 #s(literal 1 binary64) (/.f64 F #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))))
accuracy1.1118111083578055
#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))
accuracy30.757063688715704
(PI.f64)
accuracy0.2395383068457476
(/.f64 (PI.f64) (*.f64 F F))
accuracy0.6933896514324336
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
accuracy3.7911735393074313
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
accuracy30.757063688715704
(PI.f64)
accuracy0.47994259134177175
(tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))
accuracy0.50390625
(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy0.50390625
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
accuracy30.757063688715704
(PI.f64)
Samples
72.0ms128×0valid
33.0ms127×0invalid
1.0ms1valid
Compiler

Compiled 241 to 37 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-div: 34.0ms (39.6% of total)
ival-mult: 32.0ms (37.3% of total)
ival-tanu: 5.0ms (5.8% of total)
ival-sub: 3.0ms (3.5% of total)
ival-pow: 3.0ms (3.5% of total)
ival-tan: 2.0ms (2.3% of total)
ival-cbrt: 2.0ms (2.3% of total)
ival-add: 2.0ms (2.3% of total)
ival-pi: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory
5.0MiB live, 41.7MiB allocated
Counts
19 → 312
Calls
Call 1
Inputs
#s(alt (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (patch (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) F) (patch (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) F) #<representation binary64>) () ())
#s(alt (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (patch (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) (patch #s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) (patch (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l) #<representation binary64>) () ())
#s(alt (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (patch (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 F #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 F #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))))) (patch (-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) #<representation binary64>) () ())
#s(alt (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l) (patch (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l) #<representation binary64>) () ())
#s(alt (pow.f64 (PI.f64) #s(literal 3 binary64)) (patch (pow.f64 (PI.f64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F))) (patch (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)) (patch (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) (*.f64 F F)) (patch (/.f64 (PI.f64) (*.f64 F F)) #<representation binary64>) () ())
#s(alt #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (patch #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) F) (patch (/.f64 (PI.f64) F) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 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 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 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 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 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 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 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 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) F) (patch (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) F) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor -inf l) (#s(alt (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)) (patch (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor -inf l) (#s(alt (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)) (patch (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor -inf l) (#s(alt (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)) (patch (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor -inf l) (#s(alt #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (patch #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor -inf l) (#s(alt #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (patch #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor -inf l) (#s(alt #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (patch #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor -inf l) (#s(alt #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (patch #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
5.0ms
l
@0
((cbrt (pow (PI) 3)) (+ (* (/ (tan (* l (cbrt (pow (PI) 3)))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (cbrt (pow (PI) 3)))) F) (tan (* l (cbrt (pow (PI) 3)))) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (/ 1 (/ F (/ (tan (* l (PI))) F))) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (* (PI) l) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (cbrt (pow (PI) 3)) l) (pow (PI) 3) (+ (* (PI) l) (/ (tan (* l (cbrt (pow (PI) 3)))) (* (neg F) F))) (/ (tan (* l (cbrt (pow (PI) 3)))) (* (neg F) F)) (/ (PI) (* F F)) (/ (tan (* l (PI))) F) (/ (PI) F))
2.0ms
F
@0
((cbrt (pow (PI) 3)) (+ (* (/ (tan (* l (cbrt (pow (PI) 3)))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (cbrt (pow (PI) 3)))) F) (tan (* l (cbrt (pow (PI) 3)))) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (/ 1 (/ F (/ (tan (* l (PI))) F))) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (* (PI) l) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (cbrt (pow (PI) 3)) l) (pow (PI) 3) (+ (* (PI) l) (/ (tan (* l (cbrt (pow (PI) 3)))) (* (neg F) F))) (/ (tan (* l (cbrt (pow (PI) 3)))) (* (neg F) F)) (/ (PI) (* F F)) (/ (tan (* l (PI))) F) (/ (PI) F))
2.0ms
F
@-inf
((cbrt (pow (PI) 3)) (+ (* (/ (tan (* l (cbrt (pow (PI) 3)))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (cbrt (pow (PI) 3)))) F) (tan (* l (cbrt (pow (PI) 3)))) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (/ 1 (/ F (/ (tan (* l (PI))) F))) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (* (PI) l) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (cbrt (pow (PI) 3)) l) (pow (PI) 3) (+ (* (PI) l) (/ (tan (* l (cbrt (pow (PI) 3)))) (* (neg F) F))) (/ (tan (* l (cbrt (pow (PI) 3)))) (* (neg F) F)) (/ (PI) (* F F)) (/ (tan (* l (PI))) F) (/ (PI) F))
2.0ms
F
@inf
((cbrt (pow (PI) 3)) (+ (* (/ (tan (* l (cbrt (pow (PI) 3)))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (cbrt (pow (PI) 3)))) F) (tan (* l (cbrt (pow (PI) 3)))) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (/ 1 (/ F (/ (tan (* l (PI))) F))) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (* (PI) l) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (cbrt (pow (PI) 3)) l) (pow (PI) 3) (+ (* (PI) l) (/ (tan (* l (cbrt (pow (PI) 3)))) (* (neg F) F))) (/ (tan (* l (cbrt (pow (PI) 3)))) (* (neg F) F)) (/ (PI) (* F F)) (/ (tan (* l (PI))) F) (/ (PI) F))
2.0ms
l
@-inf
((cbrt (pow (PI) 3)) (+ (* (/ (tan (* l (cbrt (pow (PI) 3)))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (cbrt (pow (PI) 3)))) F) (tan (* l (cbrt (pow (PI) 3)))) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (PI) (/ 1 (/ F (/ (tan (* l (PI))) F))) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (* (PI) l) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (cbrt (pow (PI) 3)) l) (pow (PI) 3) (+ (* (PI) l) (/ (tan (* l (cbrt (pow (PI) 3)))) (* (neg F) F))) (/ (tan (* l (cbrt (pow (PI) 3)))) (* (neg F) F)) (/ (PI) (* F F)) (/ (tan (* l (PI))) F) (/ (PI) F))

simplify276.0ms (3.7%)

Memory
-11.7MiB live, 235.7MiB allocated
Algorithm
egg-herbie
Rules
14 424×lower-fma.f64
14 424×lower-fma.f32
5 342×lower-+.f64
5 342×lower-+.f32
5 186×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02275538
17015406
222924734
082164634
Stop Event
iter limit
node limit
Counts
312 → 312
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))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (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)
(* 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))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (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)
(* 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))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (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)
(* 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))
(* 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))))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
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(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (-.f64 (PI.f64) (/.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) (/ (PI) (pow F 2))))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) 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)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (PI))
(*.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)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (PI))
(*.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)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* 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 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) 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)))
(/ (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)))
(* l (PI))
(*.f64 (PI.f64) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (-.f64 (PI.f64) (/.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) (/ (PI) (pow F 2))))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) 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)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) 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)
(* l (PI))
(*.f64 (PI.f64) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) 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)
(* l (PI))
(*.f64 (PI.f64) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (* 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)))

rewrite205.0ms (2.7%)

Memory
31.1MiB live, 254.0MiB allocated
Rules
5 004×lower-*.f32
4 992×lower-*.f64
4 400×lower-fma.f32
4 396×lower-fma.f64
3 972×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045193
073170
1296160
22143160
08902160
Stop Event
iter limit
node limit
iter limit
Counts
19 → 506
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) F)
(tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(/.f64 #s(literal 1 binary64) (/.f64 F #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)))))
(*.f64 (PI.f64) l)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)))
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F))
(/.f64 (PI.f64) (*.f64 F F))
#s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l))
(/.f64 (PI.f64) F)
Outputs
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eval232.0ms (3.1%)

Memory
8.4MiB live, 323.2MiB allocated
Compiler

Compiled 26 303 to 3 261 computations (87.6% saved)

prune71.0ms (1%)

Memory
-7.6MiB live, 121.0MiB allocated
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New1 35981 367
Fresh5712
Picked325
Done022
Total1 367191 386
Accuracy
99.1%
Counts
1 386 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.3%
(fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
73.8%
(fma.f64 (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
75.9%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (*.f64 (neg.f64 F) F)))
75.8%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
73.8%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)))
75.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))))
73.7%
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (pow.f64 (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
81.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(literal 1 binary64) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))
73.8%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)))))
68.0%
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
19.9%
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
25.6%
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
26.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
21.3%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
21.5%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) l))))
21.4%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
21.3%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
73.9%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l))
74.2%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Compiler

Compiled 472 to 373 computations (21% saved)

simplify166.0ms (2.2%)

Memory
-20.1MiB live, 167.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (*.f64 (neg.f64 F) F))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (*.f64 (neg.f64 F) F)))
cost-diff12864
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
cost-diff0
(tan.f64 (*.f64 (PI.f64) l))
cost-diff0
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F))
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
cost-diff384
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
#s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l))
cost-diff0
(/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) F)
cost-diff576
(fma.f64 (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
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 (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
cost-diff0
(tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))))
cost-diff0
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F)
cost-diff576
(fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
cost-diff12864
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
Rules
5 884×lower-fma.f32
5 878×lower-fma.f64
1 946×lower-*.f32
1 934×lower-*.f64
1 406×lower-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
053321
085259
1156253
2259253
3480253
4831252
51377252
61944252
72380252
82896252
93326252
103903252
114746252
125629252
137026252
08093252
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F)
(tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))))
(*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
l
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
F
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
(*.f64 l (PI.f64))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #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
(fma.f64 (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) F)
#s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
F
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
(*.f64 l (PI.f64))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
(neg.f64 F)
F
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (*.f64 (neg.f64 F) F)))
(PI.f64)
l
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (*.f64 (neg.f64 F) F))
(tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))))
(*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (PI.f64) (PI.f64))
(*.f64 (neg.f64 F) F)
(neg.f64 F)
F
Outputs
(fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(*.f64 (PI.f64) l)
l
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(PI.f64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
F
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #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
(fma.f64 (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) F)
#s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
F
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
(neg.f64 F)
F
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (*.f64 (neg.f64 F) F)))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(PI.f64)
l
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (*.f64 (neg.f64 F) F))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
(tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(*.f64 (PI.f64) l)
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(PI.f64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 (PI.f64) (PI.f64))
(*.f64 (neg.f64 F) F)
(neg.f64 F)
F

localize180.0ms (2.4%)

Memory
5.5MiB live, 208.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.50390625
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
accuracy0.50390625
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
accuracy3.5428711594186453
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (*.f64 (neg.f64 F) F))
accuracy30.757063688715704
(PI.f64)
accuracy0.125
(*.f64 (PI.f64) l)
accuracy0.47994259134177175
(tan.f64 (*.f64 (PI.f64) l))
accuracy15.573848577689208
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
accuracy30.757063688715704
(PI.f64)
accuracy0.125
(*.f64 (PI.f64) l)
accuracy0.125
(*.f64 l (PI.f64))
accuracy1.1104259991939731
#s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l))
accuracy30.757063688715704
(PI.f64)
accuracy0.14453125
(/.f64 (neg.f64 (PI.f64)) F)
accuracy0.6933896514324336
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
accuracy15.573879803889799
#s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))
accuracy30.757063688715704
(PI.f64)
accuracy0.47994259134177175
(tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))))
accuracy0.50390625
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
accuracy0.50390625
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
accuracy30.757063688715704
(PI.f64)
Samples
103.0ms127×0invalid
40.0ms128×0valid
1.0ms1valid
Compiler

Compiled 276 to 48 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-add: 45.0ms (43.2% of total)
ival-mult: 20.0ms (19.2% of total)
ival-div: 19.0ms (18.2% of total)
ival-tanu: 5.0ms (4.8% of total)
ival-sub: 3.0ms (2.9% of total)
ival-tan: 3.0ms (2.9% of total)
ival-cbrt: 3.0ms (2.9% of total)
ival-pow: 2.0ms (1.9% of total)
ival-neg: 2.0ms (1.9% of total)
ival-pi: 1.0ms (1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series40.0ms (0.5%)

Memory
-2.4MiB live, 35.3MiB allocated
Counts
21 → 360
Calls
Call 1
Inputs
#s(alt (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (patch (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) (patch (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) #<representation binary64>) () ())
#s(alt (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (patch (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) (patch #s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #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 (fma.f64 (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) F) (patch (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) F) #<representation binary64>) () ())
#s(alt #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) (patch #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F) (patch (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F)) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F)) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (patch (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) #<representation binary64>) () ())
#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (*.f64 (neg.f64 F) F))) (patch (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (*.f64 (neg.f64 F) F))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (*.f64 (neg.f64 F) F)) (patch (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (*.f64 (neg.f64 F) F)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (patch (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 l (PI.f64)) (patch (*.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 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) 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 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) 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 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) 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 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) 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 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) (patch (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) (patch (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) (patch (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* F (cos (* l (PI))))) (taylor 0 F) (#s(alt (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) (patch (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (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 (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) (patch #s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #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 (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) (patch #s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #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 (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) (patch #s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #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 (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) (patch #s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #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>) () ())) ())
#s(alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (taylor 0 F) (#s(alt (fma.f64 (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) 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 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (patch (fma.f64 (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
3.0ms
F
@0
((cbrt (* (* (PI) (PI)) (PI))) (+ (* (/ (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) F) (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (* (- (PI) (/ (PI) (* F F))) l) (* (/ (neg (PI)) F) (/ l F)) (/ (neg (PI)) F) (+ (* (/ (tan (* l (cbrt (pow (PI) 3)))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (cbrt (pow (PI) 3)))) F) (tan (* l (cbrt (pow (PI) 3)))) (* (PI) l) (/ (/ (tan (* (PI) l)) (neg F)) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/ (tan (* (PI) l)) (neg F)) (tan (* (PI) l)) (+ (* (PI) l) (/ (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) (* (neg F) F))) (PI) (/ (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) (* (neg F) F)) (* (* (PI) (PI)) (PI)) (* l (PI)))
3.0ms
F
@inf
((cbrt (* (* (PI) (PI)) (PI))) (+ (* (/ (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) F) (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (* (- (PI) (/ (PI) (* F F))) l) (* (/ (neg (PI)) F) (/ l F)) (/ (neg (PI)) F) (+ (* (/ (tan (* l (cbrt (pow (PI) 3)))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (cbrt (pow (PI) 3)))) F) (tan (* l (cbrt (pow (PI) 3)))) (* (PI) l) (/ (/ (tan (* (PI) l)) (neg F)) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/ (tan (* (PI) l)) (neg F)) (tan (* (PI) l)) (+ (* (PI) l) (/ (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) (* (neg F) F))) (PI) (/ (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) (* (neg F) F)) (* (* (PI) (PI)) (PI)) (* l (PI)))
2.0ms
l
@-inf
((cbrt (* (* (PI) (PI)) (PI))) (+ (* (/ (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) F) (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (* (- (PI) (/ (PI) (* F F))) l) (* (/ (neg (PI)) F) (/ l F)) (/ (neg (PI)) F) (+ (* (/ (tan (* l (cbrt (pow (PI) 3)))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (cbrt (pow (PI) 3)))) F) (tan (* l (cbrt (pow (PI) 3)))) (* (PI) l) (/ (/ (tan (* (PI) l)) (neg F)) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/ (tan (* (PI) l)) (neg F)) (tan (* (PI) l)) (+ (* (PI) l) (/ (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) (* (neg F) F))) (PI) (/ (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) (* (neg F) F)) (* (* (PI) (PI)) (PI)) (* l (PI)))
2.0ms
l
@inf
((cbrt (* (* (PI) (PI)) (PI))) (+ (* (/ (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) F) (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (* (- (PI) (/ (PI) (* F F))) l) (* (/ (neg (PI)) F) (/ l F)) (/ (neg (PI)) F) (+ (* (/ (tan (* l (cbrt (pow (PI) 3)))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (cbrt (pow (PI) 3)))) F) (tan (* l (cbrt (pow (PI) 3)))) (* (PI) l) (/ (/ (tan (* (PI) l)) (neg F)) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/ (tan (* (PI) l)) (neg F)) (tan (* (PI) l)) (+ (* (PI) l) (/ (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) (* (neg F) F))) (PI) (/ (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) (* (neg F) F)) (* (* (PI) (PI)) (PI)) (* l (PI)))
2.0ms
l
@0
((cbrt (* (* (PI) (PI)) (PI))) (+ (* (/ (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) F) (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (* (- (PI) (/ (PI) (* F F))) l) (* (/ (neg (PI)) F) (/ l F)) (/ (neg (PI)) F) (+ (* (/ (tan (* l (cbrt (pow (PI) 3)))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (cbrt (pow (PI) 3)))) F) (tan (* l (cbrt (pow (PI) 3)))) (* (PI) l) (/ (/ (tan (* (PI) l)) (neg F)) F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/ (tan (* (PI) l)) (neg F)) (tan (* (PI) l)) (+ (* (PI) l) (/ (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) (* (neg F) F))) (PI) (/ (tan (* l (cbrt (* (* (PI) (PI)) (PI))))) (* (neg F) F)) (* (* (PI) (PI)) (PI)) (* l (PI)))

simplify208.0ms (2.8%)

Memory
38.6MiB live, 232.1MiB allocated
Algorithm
egg-herbie
Rules
14 346×lower-fma.f64
14 346×lower-fma.f32
5 562×lower-+.f64
5 562×lower-+.f32
5 368×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02296529
17306377
224965646
082365527
Stop Event
iter limit
node limit
Counts
360 → 360
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)))
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(* -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))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
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(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
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(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
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(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
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(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
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(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
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(/ (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)))))
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(/ (* 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))
(* 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))))))
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(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
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(* 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))))))))))
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(/ (* l (PI)) F)
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(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (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))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (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)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* l (PI))
(*.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)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) 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))
(/ (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)))
(* l (PI))
(*.f64 (PI.f64) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l)
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l)
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l)
(* l (- (PI) (/ (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))
(* l (PI))
(*.f64 (PI.f64) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) 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))
(/ (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)))
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* l (PI))
(*.f64 (PI.f64) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (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))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (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)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)
(* l (PI))
(*.f64 (PI.f64) l)

rewrite177.0ms (2.4%)

Memory
-12.5MiB live, 175.2MiB allocated
Rules
4 776×lower-*.f32
4 764×lower-*.f64
3 194×lower-/.f32
3 178×lower-/.f64
2 490×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053238
085196
1357192
22527192
08176191
Stop Event
iter limit
node limit
iter limit
Counts
21 → 531
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F)
(tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #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)
(fma.f64 (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) F)
#s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F))
(tan.f64 (*.f64 (PI.f64) l))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (*.f64 (neg.f64 F) F)))
(PI.f64)
(/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (*.f64 (neg.f64 F) F))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 l (PI.f64))
Outputs
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eval304.0ms (4.1%)

Memory
-2.2MiB live, 478.2MiB allocated
Compiler

Compiled 31 809 to 4 048 computations (87.3% saved)

prune61.0ms (0.8%)

Memory
11.0MiB live, 166.0MiB allocated
Pruning

23 alts after pruning (16 fresh and 7 done)

PrunedKeptTotal
New1 580111 591
Fresh5510
Picked145
Done134
Total1 587231 610
Accuracy
99.1%
Counts
1 610 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.8%
(fma.f64 (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
75.9%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (*.f64 (neg.f64 F) F)))
75.8%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
75.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))))
21.3%
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
68.0%
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
25.7%
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (/.f64 l F) (/.f64 (neg.f64 F) (PI.f64)))))
25.7%
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) (neg.f64 F))))
20.2%
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F))))
25.6%
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
25.6%
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
25.7%
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
20.2%
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
26.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
21.3%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
21.5%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) l))))
21.4%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
25.3%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (fma.f64 (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)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)))))) (*.f64 l l) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))) (*.f64 l l))) (*.f64 l l) (PI.f64)) l)) (neg.f64 F)) F))
26.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) F))
1.3%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 F) (tan.f64 (*.f64 l (PI.f64))))) #s(literal -1 binary64))) F))
25.4%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 #s(approx (/ (tan (* (PI) l)) (neg F)) (*.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (neg.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F) #s(literal -1/5040 binary64)) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) F) (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F)) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F) #s(literal -1/720 binary64))))) (*.f64 l l) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) F))) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F)) l) l (/.f64 (neg.f64 (PI.f64)) F))) l)) F))
73.9%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l))
74.2%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Compiler

Compiled 1 256 to 544 computations (56.7% saved)

regimes98.0ms (1.3%)

Memory
-9.4MiB live, 223.5MiB allocated
Counts
50 → 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 (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #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))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (/ (sin (* (PI) l)) (* (neg F) F)) (cos (* (PI) l))) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) (neg.f64 F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (/.f64 (neg.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 (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (/.f64 l F) (/.f64 (neg.f64 F) (PI.f64)))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)))
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(fma.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(fma.f64 (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) 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) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) l) (sqrt.f64 (PI.f64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(literal 1 binary64) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
(-.f64 (*.f64 (PI.f64) l) (pow.f64 (pow.f64 (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) (*.f64 (neg.f64 F) F)))
(/.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))))))
(fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))) F) (/.f64 #s(literal -1 binary64) F) (*.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))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (neg.f64 F) F) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 F) (tan.f64 (*.f64 l (PI.f64))))) #s(literal -1 binary64))) F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(fma.f64 (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 (fma.f64 (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)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)))))) (*.f64 l l) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))) (*.f64 l l))) (*.f64 l l) (PI.f64)) l)) (neg.f64 F)) F))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 #s(approx (/ (tan (* (PI) l)) (neg F)) (*.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (neg.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F) #s(literal -1/5040 binary64)) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) F) (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F)) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F) #s(literal -1/720 binary64))))) (*.f64 l l) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) F))) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F)) l) l (/.f64 (neg.f64 (PI.f64)) F))) l)) F))
Outputs
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

6 calls:

18.0ms
(*.f64 F F)
18.0ms
l
15.0ms
(*.f64 (PI.f64) l)
14.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
14.0ms
(/.f64 #s(literal 1 binary64) (*.f64 F F))
Results
AccuracySegmentsBranch
85.1%3F
98.6%2l
88.3%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
98.6%2(*.f64 (PI.f64) l)
81.3%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
81.3%1(*.f64 F F)
Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes17.0ms (0.2%)

Memory
31.2MiB live, 31.2MiB allocated
Counts
26 → 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 (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #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))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (/ (sin (* (PI) l)) (* (neg F) F)) (cos (* (PI) l))) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) (neg.f64 F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (/.f64 (neg.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 (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (/.f64 l F) (/.f64 (neg.f64 F) (PI.f64)))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)))
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(fma.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(fma.f64 (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) F))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

2 calls:

8.0ms
(*.f64 (PI.f64) l)
8.0ms
l
Results
AccuracySegmentsBranch
98.6%2l
98.6%2(*.f64 (PI.f64) l)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes23.0ms (0.3%)

Memory
-20.4MiB live, 48.7MiB allocated
Counts
24 → 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 (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #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))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (/ (sin (* (PI) l)) (* (neg F) F)) (cos (* (PI) l))) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) (neg.f64 F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (/.f64 (neg.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 (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (/.f64 l F) (/.f64 (neg.f64 F) (PI.f64)))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)))
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(fma.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(fma.f64 (/.f64 #s(approx (tan (* l (cbrt (pow (PI) 3)))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Outputs
(fma.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

2 calls:

9.0ms
(*.f64 (PI.f64) l)
7.0ms
l
Results
AccuracySegmentsBranch
98.2%2l
98.2%2(*.f64 (PI.f64) l)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes11.0ms (0.1%)

Memory
26.9MiB live, 26.9MiB allocated
Counts
15 → 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 (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #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))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (/ (sin (* (PI) l)) (* (neg F) F)) (cos (* (PI) l))) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) (neg.f64 F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (/.f64 (neg.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 (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (/.f64 l F) (/.f64 (neg.f64 F) (PI.f64)))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)))
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
Outputs
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

2 calls:

5.0ms
(*.f64 (PI.f64) l)
5.0ms
l
Results
AccuracySegmentsBranch
98.2%2l
98.2%2(*.f64 (PI.f64) l)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes25.0ms (0.3%)

Memory
-38.9MiB live, 24.4MiB allocated
Counts
14 → 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 (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #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))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (/ (sin (* (PI) l)) (* (neg F) F)) (cos (* (PI) l))) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) (neg.f64 F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (/.f64 (neg.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 (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (/.f64 l F) (/.f64 (neg.f64 F) (PI.f64)))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)))
Outputs
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

2 calls:

19.0ms
(*.f64 (PI.f64) l)
5.0ms
l
Results
AccuracySegmentsBranch
98.2%2l
98.2%2(*.f64 (PI.f64) l)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes9.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB 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 (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #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))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (/ (/ (sin (* (PI) l)) (* (neg F) F)) (cos (* (PI) l))) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (*.f64 (/.f64 l F) (PI.f64)) (neg.f64 F))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (/.f64 (neg.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 (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (/.f64 (/.f64 l F) (/.f64 (neg.f64 F) (PI.f64)))))
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:

4.0ms
(*.f64 (PI.f64) l)
4.0ms
l
Results
AccuracySegmentsBranch
92.5%2l
92.5%2(*.f64 (PI.f64) l)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes12.0ms (0.2%)

Memory
-5.9MiB live, 33.3MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #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)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

6 calls:

3.0ms
l
2.0ms
(-.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
F
2.0ms
(/.f64 #s(literal 1 binary64) (*.f64 F F))
Results
AccuracySegmentsBranch
74.2%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
74.2%1(*.f64 F F)
74.2%1F
83.4%3(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
74.2%1l
74.2%1(*.f64 (PI.f64) l)
Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes2.0ms (0%)

Memory
3.9MiB live, 3.9MiB 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

1 calls:

1.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Results
AccuracySegmentsBranch
74.2%1(-.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)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2066140103729723.8
7203303637200833.0
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
2066140103729723.8
7203303637200833.0
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.020696673854489585
2086.5402271392795
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
0.020696673854489585
2086.5402271392795
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
0.020696673854489585
2086.5402271392795
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.020696673854489585
2086.5402271392795
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.592169604506562e-181
1.8883081062257815e-307
0.0ms
-5.380860611592556e+252
-2.341252469167504e+244
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify33.0ms (0.4%)

Memory
-25.1MiB live, 94.2MiB allocated
Algorithm
egg-herbie
Rules
42×*-commutative-binary64-*.f64
36×sub-neg-binary64-neg.f64-+.f64--.f64
34×+-commutative-binary64-+.f64
30×neg-sub0-binary64--.f64-neg.f64
30×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070368
1100368
2139368
3174368
4195368
5201368
6202368
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 4000000000000000 binary64)) (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 4000000000000000 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 5764607523034235/144115188075855872 binary64)) (fma.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5764607523034235/144115188075855872 binary64)) (fma.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5764607523034235/144115188075855872 binary64)) (fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5764607523034235/144115188075855872 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 -4999999999999999681793534688837958868212853663785036782419720361679078139026353774446693497293473788990517591304702846227575332082657167871886131204710002780090859851360619284064431218701999138176915986960331575388717979146899858120583984847024514138112 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 -7475102707912205/37375513539561023231108477793896786533525327931380202951304745106630862169773485150256437750311906506986637800026885384689161869077507588081685801531164378630160340372359290471078905382884178132992 binary64)) #s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.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)))) (*.f64 (PI.f64) l))
Outputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 4000000000000000 binary64)) (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 l (PI.f64)) #s(literal 4000000000000000 binary64)) (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 4000000000000000 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 4000000000000000 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 5764607523034235/144115188075855872 binary64)) (fma.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 l (PI.f64)) #s(literal 5764607523034235/144115188075855872 binary64)) (fma.f64 (/.f64 #s(approx (tan (* l (PI))) (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5764607523034235/144115188075855872 binary64)) (fma.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 l (PI.f64)) #s(literal 5764607523034235/144115188075855872 binary64)) (fma.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5764607523034235/144115188075855872 binary64)) (fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) F))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 l (PI.f64)) #s(literal 5764607523034235/144115188075855872 binary64)) (fma.f64 (PI.f64) l (/.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (neg.f64 F))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5764607523034235/144115188075855872 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 5764607523034235/144115188075855872 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 -4999999999999999681793534688837958868212853663785036782419720361679078139026353774446693497293473788990517591304702846227575332082657167871886131204710002780090859851360619284064431218701999138176915986960331575388717979146899858120583984847024514138112 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 -7475102707912205/37375513539561023231108477793896786533525327931380202951304745106630862169773485150256437750311906506986637800026885384689161869077507588081685801531164378630160340372359290471078905382884178132992 binary64)) #s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.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))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) #s(literal -4999999999999999681793534688837958868212853663785036782419720361679078139026353774446693497293473788990517591304702846227575332082657167871886131204710002780090859851360619284064431218701999138176915986960331575388717979146899858120583984847024514138112 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))) (if (<=.f64 (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))) #s(literal -7475102707912205/37375513539561023231108477793896786533525327931380202951304745106630862169773485150256437750311906506986637800026885384689161869077507588081685801531164378630160340372359290471078905382884178132992 binary64)) #s(approx (- (* (PI) l) (/ 1 (/ F (/ (tan (* l (PI))) F)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64))))) #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)))

soundness1.2s (16.3%)

Memory
8.6MiB live, 849.3MiB allocated
Rules
17 378×lower-fma.f64
17 378×lower-fma.f32
16 328×lower-fma.f64
16 328×lower-fma.f32
14 424×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01491433
14321361
214501197
369251158
085231124
045193
073170
1296160
22143160
08902160
053238
085196
1357192
22527192
08176191
02275538
17015406
222924734
082164634
03316175
110565988
240035432
086175309
01037
01737
17031
246731
3666931
0819131
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 482 to 241 computations (50% saved)

preprocess170.0ms (2.3%)

Memory
3.6MiB live, 158.8MiB allocated
Remove

(abs F)

Compiler

Compiled 682 to 280 computations (58.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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