VandenBroeck and Keller, Equation (6)

Time bar (total: 15.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze214.0ms (1.4%)

Memory
-2.6MiB live, 265.7MiB 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)

sample4.8s (30.6%)

Memory
118.1MiB live, 4 455.2MiB allocated
Samples
3.6s3 807×1valid
673.0ms4 394×0valid
151.0ms55×2valid
1.0ms4exit
Precisions
Click to see histograms. Total time spent on operations: 3.9s
ival-tan: 3.2s (82.3% of total)
ival-mult: 395.0ms (10.2% of total)
ival-div: 89.0ms (2.3% of total)
ival-pi: 77.0ms (2% of total)
adjust: 59.0ms (1.5% of total)
ival-sub: 51.0ms (1.3% of total)
ival-true: 6.0ms (0.2% of total)
exact: 5.0ms (0.1% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain583.0ms (3.7%)

Memory
12.2MiB live, 800.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1360-0-(tan.f64 (*.f64 (PI.f64) l))
530-0-(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
22(5.502406385756426e+161 -4.351868057293369e+36)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))sensitivity1360
*.f64(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))n*o90
Confusion
Predicted +Predicted -
+690
-76111
Precision
0.47586206896551725
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6900
-760111
Precision?
0.47586206896551725
Recall?
1.0
Freqs
test
numberfreq
0111
1145
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
161.0ms74×2valid
145.0ms164×1valid
124.0ms28×3valid
18.0ms246×0valid
Compiler

Compiled 106 to 34 computations (67.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 423.0ms
ival-tan: 379.0ms (89.5% of total)
ival-mult: 24.0ms (5.7% of total)
adjust: 6.0ms (1.4% of total)
ival-div: 5.0ms (1.2% of total)
ival-pi: 4.0ms (0.9% of total)
ival-sub: 4.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess73.0ms (0.5%)

Memory
21.7MiB live, 94.9MiB 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 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
Symmetry

(abs F)

(negabs l)

Compiler

Compiled 16 to 10 computations (37.5% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.3%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify33.0ms (0.2%)

Memory
-5.8MiB live, 31.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

localize244.0ms (1.6%)

Memory
7.4MiB live, 376.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.17578125
(*.f64 (PI.f64) l)
accuracy0.4821429449522133
(/.f64 #s(literal 1 binary64) (*.f64 F F))
accuracy12.984162511286769
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
accuracy32.45485739247044
(tan.f64 (*.f64 (PI.f64) l))
Samples
76.0ms82×1valid
73.0ms14×3valid
70.0ms37×2valid
9.0ms123×0valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 208.0ms
ival-tan: 190.0ms (91.3% of total)
ival-mult: 8.0ms (3.8% of total)
adjust: 3.0ms (1.4% of total)
ival-div: 3.0ms (1.4% of total)
ival-pi: 2.0ms (1% of total)
ival-sub: 2.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
-10.8MiB live, 27.4MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal 1 binary64) (*.f64 F F)) #<representation binary64>) () ())
Outputs
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))) (taylor 0 F) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (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 (/ (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)) (pow F 2)) (taylor 0 l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())) ())
#s(alt (/ (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 (/ (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) (/ (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>) () ())) ())
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#s(alt (* l (PI)) (taylor inf l) (#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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 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 (/ 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>) () ())) ())
Calls

21 calls:

TimeVariablePointExpression
7.0ms
F
@0
(* (/ 1 (* F F)) (tan (* (PI) l)))
2.0ms
l
@0
(* (/ 1 (* F F)) (tan (* (PI) l)))
2.0ms
l
@inf
(* (/ 1 (* F F)) (tan (* (PI) l)))
1.0ms
l
@-inf
(* (/ 1 (* F F)) (tan (* (PI) l)))
1.0ms
l
@0
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))

simplify402.0ms (2.6%)

Memory
-55.9MiB live, 504.7MiB 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
01491418
14321331
214501227
369161158
085051124
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)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
Outputs
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
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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))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (neg.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 F F))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64))) (*.f64 F F))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F))) (/.f64 (PI.f64) (*.f64 F F))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (fma.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (*.f64 F F)) (PI.f64)) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (neg.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F)))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (*.f64 F F))) (PI.f64)) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F F)) #s(literal -1/3 binary64)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 F F))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64))) (*.f64 F F)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F)))))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(/.f64 (sin.f64 (*.f64 l (PI.f64))) (neg.f64 (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
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(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)) (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal -1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)))))) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))))))) (PI.f64)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))

rewrite246.0ms (1.6%)

Memory
21.6MiB live, 295.8MiB 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
(neg.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l)))) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 (*.f64 F F))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 F (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) l))) (*.f64 F F)))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) F)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) l))) (neg.f64 (*.f64 F F))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) #s(literal 1 binary64)) (*.f64 (neg.f64 F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 (*.f64 F F) (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) F)) (neg.f64 F))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) F)) (*.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) l))) F))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F)) (*.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 (neg.f64 (*.f64 F F)) (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (neg.f64 F))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 F (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 (neg.f64 F) (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)) (neg.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (neg.f64 F))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 F F))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (neg.f64 F))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (*.f64 F F))
(pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)))
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(*.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 F F)))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l)))))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 F F))))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) F))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F))
(*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 #s(literal -1 binary64) F))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(+.f64 (*.f64 (PI.f64) l) (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(+.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (*.f64 (PI.f64) l))
(+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l)))) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))))) (neg.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 3 binary64)) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l)))))))
(+.f64 (/.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (neg.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))
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(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l)))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 3 binary64))) (-.f64 (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) l)) (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))))) (pow.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) #s(literal 2 binary64)))) (-.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))
(*.f64 (/.f64 (-.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (fma.f64 (PI.f64) (*.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l)))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (PI.f64) l)) (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l)))))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(*.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 l (cbrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 l (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 l (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 l (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 l (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(+.f64 (log.f64 (pow.f64 (E.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (log.f64 (pow.f64 (E.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(fabs.f64 (PI.f64))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(tan.f64 (*.f64 (PI.f64) l))
(neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (log.f64 F))))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 F))))
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 F F)))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (neg.f64 F)))
(/.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 F))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) #s(literal 1 binary64)) (neg.f64 F))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (neg.f64 F))
(pow.f64 F #s(literal -2 binary64))
(pow.f64 (*.f64 F F) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 2 binary64))
(pow.f64 (*.f64 F (*.f64 F (*.f64 F F))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 #s(literal -1 binary64) F))

eval280.0ms (1.8%)

Memory
5.1MiB live, 123.6MiB allocated
Compiler

Compiled 12 853 to 1 239 computations (90.4% saved)

prune108.0ms (0.7%)

Memory
-10.2MiB live, 159.9MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New46016476
Fresh000
Picked101
Done000
Total46116477
Accuracy
99.6%
Counts
477 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.5%
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
74.1%
(fma.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
74.3%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
34.8%
(/.f64 (-.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
74.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
73.7%
(-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
77.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
74.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
74.3%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l))))
74.2%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
51.0%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64))))))
68.1%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))))
74.2%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l))))
68.1%
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
68.1%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
79.0%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
Compiler

Compiled 582 to 344 computations (40.9% saved)

simplify329.0ms (2.1%)

Memory
-5.9MiB live, 219.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
cost-diff0
(-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.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)))
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l))))
cost-diff320
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l)))
cost-diff704
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F))
cost-diff0
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
cost-diff0
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
cost-diff0
(PI.f64)
cost-diff0
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
cost-diff0
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 l (PI.f64))
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
Rules
6 618×lower-fma.f32
6 616×lower-fma.f64
1 894×lower-*.f32
1 876×lower-*.f64
1 748×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036250
061246
1108232
2201232
3317232
4492232
5746232
61250232
72428232
82860232
93008232
103092232
113492232
124271232
134970232
146432232
157752232
08100232
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
l
(PI.f64)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(*.f64 l (-.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
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(PI.f64)
l
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(*.f64 F F)
F
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F))
(/.f64 #s(literal 1 binary64) F)
#s(literal 1 binary64)
F
(tan.f64 (*.f64 (PI.f64) l))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (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))
(*.f64 (PI.f64) l)
Outputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
l
(PI.f64)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.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
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(PI.f64)
l
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 (tan.f64 (*.f64 l (neg.f64 (PI.f64)))) (*.f64 F F))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(tan.f64 (*.f64 (PI.f64) l))
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(*.f64 F F)
F
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 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 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/.f64 #s(literal 1 binary64) F)
#s(literal 1 binary64)
F
(tan.f64 (*.f64 (PI.f64) l))
(tan.f64 (*.f64 l (PI.f64)))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (tan.f64 (*.f64 l (neg.f64 (PI.f64)))) (*.f64 F F)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.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)))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))

localize367.0ms (2.3%)

Memory
-2.7MiB live, 476.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy1.0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy12.984162511286769
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
accuracy32.454857392470394
(tan.f64 (*.f64 (PI.f64) l))
accuracy0.17578125
(*.f64 (PI.f64) l)
accuracy0.301445019536884
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F))
accuracy12.984162511286769
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l)))
accuracy32.454857392470394
(tan.f64 (*.f64 (PI.f64) l))
accuracy0.15234375
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
accuracy0.17578125
(*.f64 (PI.f64) l)
accuracy12.741976387315955
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
accuracy32.454857392470394
(tan.f64 (*.f64 (PI.f64) l))
accuracy0.00390625
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
accuracy0.525337787768805
(/.f64 (PI.f64) (*.f64 F F))
accuracy2.2459418065709467
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
accuracy18.147779448702053
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
accuracy0
(PI.f64)
accuracy0.17578125
(*.f64 l (PI.f64))
accuracy13.317769617776472
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
Samples
131.0ms82×1valid
81.0ms37×2valid
58.0ms14×3valid
26.0ms123×0valid
Compiler

Compiled 239 to 30 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 236.0ms
ival-tan: 169.0ms (71.6% of total)
ival-mult: 25.0ms (10.6% of total)
ival-div: 10.0ms (4.2% of total)
ival-sub: 9.0ms (3.8% of total)
ival-sqrt: 9.0ms (3.8% of total)
adjust: 8.0ms (3.4% of total)
ival-pi: 2.0ms (0.8% of total)
ival-neg: 2.0ms (0.8% of total)
ival-add: 2.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.1%)

Memory
35.3MiB live, 35.3MiB allocated
Counts
20 → 324
Calls
Call 1
Inputs
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 l (PI.f64)) (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) #<representation binary64>) () ())
#s(alt (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (patch (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) #<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 (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (patch (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) #<representation binary64>) () ())
#s(alt (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (patch (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (patch (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l))) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())
#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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (patch (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) (*.f64 F F)) (patch (/.f64 (PI.f64) (*.f64 F F)) #<representation binary64>) () ())
#s(alt (tan.f64 (*.f64 (PI.f64) l)) (patch (tan.f64 (*.f64 (PI.f64) l)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
Outputs
#s(alt (* l (- (PI) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))) #<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 #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))) #<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 #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))) #<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 #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf l) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (PI) (* -1 (/ (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 l (PI.f64))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (PI) (* -1 (/ (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 l (PI.f64))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))) #<representation binary64>) () ())) ())
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#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

81 calls:

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

simplify338.0ms (2.2%)

Memory
-1.9MiB live, 430.9MiB allocated
Algorithm
egg-herbie
Rules
16 132×lower-fma.f64
16 132×lower-fma.f32
5 980×lower-*.f64
5 980×lower-*.f32
3 068×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01655726
14715384
215394854
372744842
080334735
Stop Event
iter limit
node limit
Counts
324 → 324
Calls
Call 1
Inputs
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* -1 (/ (PI) (pow F 2)))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(PI)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(PI)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* l (- (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (- (* (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 (- (* (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))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(* 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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(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (fma.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal -1/3 binary64) (*.f64 F F))) (PI.f64)) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (PI.f64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal -1/3 binary64) (*.f64 F F)))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (PI.f64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 F F))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64))) (*.f64 F F)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (PI.f64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal -1/3 binary64) (*.f64 F F)))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (PI.f64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (-.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (PI.f64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/5040 binary64))) (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64)) (*.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))))) (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (PI.f64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))))))) (PI.f64)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))

rewrite531.0ms (3.4%)

Memory
1.6MiB live, 515.7MiB allocated
Rules
6 468×lower-fma.f32
6 466×lower-fma.f64
4 650×lower-/.f32
4 642×lower-/.f64
4 462×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036192
061150
1211148
21475148
08497148
Stop Event
iter limit
node limit
iter limit
Counts
20 → 897
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(PI.f64)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (PI.f64) l)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 (PI.f64) (*.f64 F F))
(tan.f64 (*.f64 (PI.f64) l))
(sqrt.f64 (PI.f64))
Outputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 #s(literal 1 binary64) (*.f64 l (PI.f64)))
(*.f64 (PI.f64) l)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(fabs.f64 (PI.f64))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
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(*.f64 (/.f64 (cbrt.f64 (PI.f64)) (*.f64 F F)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 F (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (sqrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 F (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 F (cbrt.f64 (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 #s(literal -1 binary64) F))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) F) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) F))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) F) (/.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) F))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 F F)) (/.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 F F)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 F F)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 F F)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 F)) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) F))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) F) (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 F)))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (cbrt.f64 (PI.f64))) (*.f64 F F)))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 F)) (/.f64 (neg.f64 (cbrt.f64 (PI.f64))) F))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 F F)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) F) (/.f64 (cbrt.f64 (PI.f64)) (neg.f64 F)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal -1 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 F F)))
(*.f64 (/.f64 (PI.f64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(tan.f64 (*.f64 l (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 l (PI.f64))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (neg.f64 (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 l (PI.f64))))) (neg.f64 (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64))))) (neg.f64 (neg.f64 (cos.f64 (*.f64 l (PI.f64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64))))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) #s(literal 1 binary64))
(*.f64 (sin.f64 (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 l (PI.f64)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))))

eval586.0ms (3.7%)

Memory
5.6MiB live, 440.2MiB allocated
Compiler

Compiled 42 458 to 3 767 computations (91.1% saved)

prune355.0ms (2.3%)

Memory
-13.5MiB live, 514.0MiB allocated
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New1 836161 852
Fresh8311
Picked325
Done000
Total1 847211 868
Accuracy
99.7%
Counts
1 868 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.5%
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
77.5%
(fma.f64 (PI.f64) l (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (neg.f64 F)))
74.2%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (*.f64 F F))))
74.3%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
51.0%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F))))
57.1%
(fma.f64 (PI.f64) l (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 l (PI.f64))))) #s(literal -1 binary64)))))
74.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
68.1%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))))
68.1%
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
68.1%
#s(approx (- (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
78.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
78.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
78.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))))
68.1%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal -1 binary64) F) (PI.f64))))
68.1%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64))))
68.1%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
68.0%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))))
78.3%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
79.0%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
18.6%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))))
18.6%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))
Compiler

Compiled 602 to 365 computations (39.4% saved)

simplify269.0ms (1.7%)

Memory
9.2MiB live, 356.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))))
cost-diff1600
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))))
cost-diff2240
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
cost-diff0
(-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))
cost-diff0
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))))
cost-diff1600
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff0
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
cost-diff0
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
cost-diff0
(neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
cost-diff0
#s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))
cost-diff0
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
cost-diff0
(*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
cost-diff3200
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
Rules
17 642×lower-fma.f64
17 642×lower-fma.f32
3 956×lower-*.f32
3 934×lower-*.f64
2 398×lower--.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
039328
062330
1119318
2257313
3600313
41395313
52910257
64697257
76800257
08143257
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
l
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))
#s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
(neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 l (PI.f64))
l
(PI.f64)
(*.f64 F F)
F
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 l (PI.f64))
(*.f64 F F)
F
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))
l
(-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))
(PI.f64)
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 F F)
F
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))))
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))
l
Outputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
l
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))
#s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
(neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 l (PI.f64))
l
(PI.f64)
(*.f64 F F)
F
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
(-.f64 (*.f64 l (PI.f64)) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(PI.f64)
l
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(*.f64 l (PI.f64))
(*.f64 F F)
F
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
l
(-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))
(*.f64 F F)
F
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))))
(*.f64 l (PI.f64))
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 l (sqrt.f64 (PI.f64)))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))
l

localize400.0ms (2.6%)

Memory
27.8MiB live, 546.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3125
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
accuracy0.33041000976844204
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy13.317769617776472
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))))
accuracy1.0
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy2.2459418065709467
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))
accuracy18.147779448702053
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))))
accuracy0.17578125
(*.f64 (PI.f64) l)
accuracy0.17578125
(*.f64 l (PI.f64))
accuracy6.647648677831364
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
accuracy30.432471628854287
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
accuracy0.17578125
(*.f64 l (PI.f64))
accuracy6.647648677831364
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
accuracy18.147779448702053
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))
accuracy32.18235027497604
#s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
accuracy0.046875
(*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
accuracy0.265625
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy13.317769617776472
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
Samples
129.0ms14×3valid
103.0ms83×1valid
83.0ms36×2valid
26.0ms123×0valid
Compiler

Compiled 247 to 31 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 287.0ms
ival-tan: 194.0ms (67.7% of total)
ival-mult: 58.0ms (20.2% of total)
ival-div: 10.0ms (3.5% of total)
ival-sqrt: 9.0ms (3.1% of total)
adjust: 6.0ms (2.1% of total)
ival-sub: 5.0ms (1.7% of total)
ival-pi: 2.0ms (0.7% of total)
ival-neg: 2.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series79.0ms (0.5%)

Memory
-2.4MiB live, 150.3MiB allocated
Counts
21 → 324
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())
#s(alt (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (patch (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (patch (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))) #<representation binary64>) () ())
#s(alt #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))) (patch #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) (patch (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)) (patch (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))) (patch (-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) l) (patch (*.f64 (PI.f64) l) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) (patch #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (patch (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))) #<representation binary64>) () ())
#s(alt (*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))) (patch (*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))) #<representation binary64>) () ())
#s(alt (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))) (patch (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))) (patch (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))) (patch (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 l (PI.f64)) (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())
Outputs
#s(alt (* l (PI)) (taylor 0 l) (#s(alt (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor 0 l) (#s(alt (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor 0 l) (#s(alt (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor 0 l) (#s(alt (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf l) (#s(alt (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf l) (#s(alt (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf l) (#s(alt (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf l) (#s(alt (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* l (- (PI) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))) #<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 #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))) #<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 #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))) #<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 #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor inf l) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (PI) (* -1 (/ (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 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (PI) (* -1 (/ (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 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (PI) (* -1 (/ (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 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())) ())
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#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 l (PI.f64)) (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* l (PI)) (taylor -inf l) (#s(alt (*.f64 l (PI.f64)) (patch (*.f64 l (PI.f64)) #<representation binary64>) () ())) ())
Calls

81 calls:

TimeVariablePointExpression
50.0ms
l
@0
(* l (sqrt (* (PI) (sqrt (PI)))))
4.0ms
F
@0
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
1.0ms
l
@0
(* (sqrt (sqrt (PI))) (* l (sqrt (sqrt (PI)))))
0.0ms
l
@0
(* (* l (sqrt (* (PI) (sqrt (PI))))) (sqrt (sqrt (PI))))
0.0ms
l
@inf
(neg (/ (* l (PI)) (* F F)))

simplify309.0ms (2%)

Memory
-12.0MiB live, 534.0MiB allocated
Algorithm
egg-herbie
Rules
16 346×lower-fma.f64
16 346×lower-fma.f32
7 336×lower-*.f64
7 336×lower-*.f32
2 070×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01394543
13924248
213034022
359223789
081843723
Stop Event
iter limit
node limit
Counts
324 → 324
Calls
Call 1
Inputs
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
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(+ (* -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)))
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
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(* -1 (/ (* l (PI)) (pow F 2)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
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(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
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(* -1 (/ (* l (PI)) (pow F 2)))
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(* -1 (/ (* l (PI)) (pow F 2)))
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(* -1 (/ (* l (PI)) (pow F 2)))
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(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
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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))))
(* 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))
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(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
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(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* 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))) (* (pow F 2) (cos (* l (PI)))))
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(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
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(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
Outputs
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (*.f64 F F)) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) #s(literal -1/3 binary64)) (*.f64 (*.f64 l l) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))) (*.f64 F F))))) (PI.f64)) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))) (*.f64 F F))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 F F)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))) (*.f64 F F)))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (*.f64 F F))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 (*.f64 F F))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(*.f64 l (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(*.f64 l (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(*.f64 l (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(*.f64 l (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(*.f64 l (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(*.f64 l (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(*.f64 l (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(*.f64 l (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(*.f64 l (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(*.f64 l (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(*.f64 l (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))
(* (pow (* 1 (pow (PI) 3)) 1/4) l)
(*.f64 l (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (*.f64 F F)) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) #s(literal -1/3 binary64)) (*.f64 (*.f64 l l) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))) (*.f64 F F))))) (PI.f64)) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))) (*.f64 F F))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 F F)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))) (*.f64 F F)))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (*.f64 F F))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 (*.f64 F F))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
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(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))) (*.f64 F F))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 F F)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))) (*.f64 F F)))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (*.f64 F F))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 (*.f64 F F))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))

rewrite365.0ms (2.3%)

Memory
-1.7MiB live, 562.0MiB allocated
Rules
10 824×lower-fma.f64
10 824×lower-fma.f32
5 002×lower-*.f32
4 980×lower-*.f64
3 648×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039269
062267
1206200
21204198
08305198
Stop Event
iter limit
node limit
iter limit
Counts
21 → 706
Calls
Call 1
Inputs
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))
#s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
(neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
(*.f64 (PI.f64) l)
(PI.f64)
#s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))
(-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))))
(sqrt.f64 (PI.f64))
(*.f64 l (PI.f64))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 l (neg.f64 (PI.f64))))
(neg.f64 (*.f64 l (neg.f64 (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) (neg.f64 (neg.f64 l)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 l (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 1 binary64) (*.f64 l (PI.f64)))
(*.f64 (*.f64 l (PI.f64)) #s(literal 1 binary64))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal -1 binary64) (*.f64 l (neg.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 (neg.f64 (PI.f64)) (neg.f64 l))
(*.f64 (neg.f64 l) (neg.f64 (PI.f64)))
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (neg.f64 (neg.f64 l)) (PI.f64))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
(*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l)
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) #s(literal 3/4 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) (pow.f64 (PI.f64) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))))
#s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F))))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 F F)) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 l l) #s(literal 0 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 l (PI.f64)) (*.f64 l (*.f64 (PI.f64) (*.f64 l (PI.f64))))) (*.f64 (*.f64 F F) (*.f64 (*.f64 F F) (*.f64 F F)))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 l l) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))) (/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 l l)) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
(neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 l (*.f64 (neg.f64 F) (/.f64 F (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (*.f64 l (neg.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 F F) (*.f64 l (neg.f64 (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 F F) (*.f64 l (PI.f64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 F) (/.f64 (*.f64 l (PI.f64)) F)))
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (*.f64 l (neg.f64 (PI.f64))) F)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 l l) #s(literal 0 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 l (PI.f64)) (*.f64 l (*.f64 (PI.f64) (*.f64 l (PI.f64))))) (*.f64 (*.f64 F F) (*.f64 (*.f64 F F) (*.f64 F F)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)) (neg.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 l l)))))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 F F) (*.f64 l (PI.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 F F) (*.f64 l (neg.f64 (PI.f64))))))
(/.f64 (*.f64 l (neg.f64 (PI.f64))) (*.f64 F F))
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) (neg.f64 F))
(/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) F)
(/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) (neg.f64 (neg.f64 F)))
(/.f64 (neg.f64 l) (/.f64 (*.f64 F F) (PI.f64)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 l (PI.f64)) (*.f64 l (*.f64 (PI.f64) (*.f64 l (PI.f64))))) (*.f64 (*.f64 F F) (*.f64 (*.f64 F F) (*.f64 F F))))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 l l) #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 l l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 (/.f64 l F)) (/.f64 F (PI.f64)))
(/.f64 (neg.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F)) (neg.f64 F))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 l (PI.f64)) (*.f64 l (*.f64 (PI.f64) (*.f64 l (PI.f64))))) (*.f64 (*.f64 F F) (*.f64 (*.f64 F F) (*.f64 F F)))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 l l) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 l l)))) (/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 l l)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))))))
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(*.f64 (sqrt.f64 (PI.f64)) (-.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 F F))))
(*.f64 #s(literal 1 binary64) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 F F) (*.f64 (*.f64 F F) (*.f64 F F))))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (PI.f64) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))))
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 F F) (*.f64 (*.f64 F F) (*.f64 F F))))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (PI.f64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 (PI.f64) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))))))
(*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F)))) (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(*.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 F F) (*.f64 (*.f64 F F) (*.f64 F F)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))))
(*.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 F F) (*.f64 F F))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(*.f64 (+.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)) (-.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) F)))
(*.f64 (/.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (sqrt.f64 (PI.f64))) (/.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) (+.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 F F)))))
(*.f64 l (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) l)
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(-.f64 #s(literal 0 binary64) (*.f64 l (neg.f64 (PI.f64))))
(neg.f64 (*.f64 l (neg.f64 (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) (neg.f64 (neg.f64 l)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 l (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 1 binary64) (*.f64 l (PI.f64)))
(*.f64 (*.f64 l (PI.f64)) #s(literal 1 binary64))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal -1 binary64) (*.f64 l (neg.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 (neg.f64 (PI.f64)) (neg.f64 l))
(*.f64 (neg.f64 l) (neg.f64 (PI.f64)))
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (neg.f64 (neg.f64 l)) (PI.f64))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) (pow.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (pow.f64 (PI.f64) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(-.f64 #s(literal 0 binary64) (*.f64 l (neg.f64 (PI.f64))))
(neg.f64 (*.f64 l (neg.f64 (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) (neg.f64 (neg.f64 l)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 l (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 1 binary64) (*.f64 l (PI.f64)))
(*.f64 (*.f64 l (PI.f64)) #s(literal 1 binary64))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal -1 binary64) (*.f64 l (neg.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 (neg.f64 (PI.f64)) (neg.f64 l))
(*.f64 (neg.f64 l) (neg.f64 (PI.f64)))
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (neg.f64 (neg.f64 l)) (PI.f64))

eval285.0ms (1.8%)

Memory
37.9MiB live, 550.2MiB allocated
Compiler

Compiled 39 618 to 4 499 computations (88.6% saved)

prune302.0ms (1.9%)

Memory
-29.7MiB live, 535.3MiB allocated
Pruning

24 alts after pruning (18 fresh and 6 done)

PrunedKeptTotal
New2 08592 094
Fresh5914
Picked145
Done022
Total2 091242 115
Accuracy
99.7%
Counts
2 115 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.5%
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
74.2%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (*.f64 F F))))
74.3%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
51.0%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F))))
57.1%
(fma.f64 (PI.f64) l (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 l (PI.f64))))) #s(literal -1 binary64)))))
74.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
68.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))))
68.1%
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
68.1%
#s(approx (- (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
78.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
78.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
78.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))))
68.1%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal -1 binary64) F) (PI.f64))))
68.1%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))))
68.1%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
79.0%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
18.6%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (* (sqrt (PI)) (sqrt (PI))) (* F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
21.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) F)))
21.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 (*.f64 l (sqrt.f64 (PI.f64))) (neg.f64 F)) (/.f64 (sqrt.f64 (PI.f64)) F))))
21.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
18.6%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))))
18.6%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
21.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))))
18.6%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))
Compiler

Compiled 613 to 369 computations (39.8% saved)

simplify150.0ms (1%)

Memory
6.4MiB live, 158.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F))
cost-diff0
(neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F)))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F))))
cost-diff0
(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
cost-diff0
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
cost-diff384
(/.f64 (/.f64 (PI.f64) F) F)
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 F F))
cost-diff0
(*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64)))
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))))
cost-diff192
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))
cost-diff0
(neg.f64 (PI.f64))
cost-diff0
(*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))
cost-diff0
#s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F))))
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
cost-diff0
(sqrt.f64 (sqrt.f64 (PI.f64)))
cost-diff0
(*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))
cost-diff0
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
Rules
3 816×lower-fma.f32
3 810×lower-fma.f64
2 488×lower-*.f32
2 466×lower-*.f64
1 318×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048378
080379
1155367
2323361
3816351
41598351
52221351
62697351
74440351
85977351
97621351
08019345
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))
l
(sqrt.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
#s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F))))
(*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))
(neg.f64 (PI.f64))
(PI.f64)
(/.f64 l (*.f64 F F))
l
(*.f64 F F)
F
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))))
(*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64)))
l
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))
(/.f64 #s(literal -1 binary64) (*.f64 F F))
#s(literal -1 binary64)
(*.f64 F F)
F
(PI.f64)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
l
(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
(PI.f64)
(/.f64 (/.f64 (PI.f64) F) F)
(/.f64 (PI.f64) F)
F
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F))))
(PI.f64)
l
(neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F)))
(/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F))
#s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64))))
(*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))
(fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64))
(*.f64 (*.f64 l l) (PI.f64))
(*.f64 l l)
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/3 binary64)
(*.f64 F F)
F
Outputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))
l
(sqrt.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F))))
#s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))))
(*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(neg.f64 (PI.f64))
(PI.f64)
(/.f64 l (*.f64 F F))
l
(*.f64 F F)
F
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
l
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 #s(literal -1 binary64) (*.f64 F F))
#s(literal -1 binary64)
(*.f64 F F)
F
(PI.f64)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
l
(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(/.f64 (/.f64 (PI.f64) F) F)
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (PI.f64) F)
F
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 l (PI.f64)) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) #s(literal 1/3 binary64)))) (PI.f64)))) (*.f64 F F)))
(PI.f64)
l
(neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F)))
(/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 l (PI.f64)) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) #s(literal 1/3 binary64)))) (PI.f64)))) (neg.f64 (*.f64 F F)))
(/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F))
(/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 l (PI.f64)) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) #s(literal 1/3 binary64)))) (PI.f64)))) (*.f64 F F))
#s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64))))
#s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 l (PI.f64)) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) #s(literal 1/3 binary64)))) (PI.f64))))
(*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))
(*.f64 l (fma.f64 (*.f64 l (PI.f64)) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) #s(literal 1/3 binary64)))) (PI.f64)))
(fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64))
(fma.f64 (*.f64 l (PI.f64)) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) #s(literal 1/3 binary64)))) (PI.f64))
(*.f64 (*.f64 l l) (PI.f64))
(*.f64 l (*.f64 l (PI.f64)))
(*.f64 l l)
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/3 binary64)
(*.f64 F F)
F

localize393.0ms (2.5%)

Memory
16.3MiB live, 563.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.15234375
(*.f64 (*.f64 l l) (PI.f64))
accuracy1.0
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))
accuracy12.741976387315955
(/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F))
accuracy33.511540556454634
#s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64))))
accuracy0.11328125
(/.f64 (/.f64 (PI.f64) F) F)
accuracy0.26171875
(/.f64 (PI.f64) F)
accuracy2.2459418065709467
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
accuracy18.147779448702053
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
accuracy0.06640625
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))
accuracy0.4821429449522133
(/.f64 #s(literal -1 binary64) (*.f64 F F))
accuracy2.2459418065709467
(*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64)))
accuracy18.147779448702053
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))))
accuracy0.12337875976844202
(*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))
accuracy6.580560707341192
(/.f64 l (*.f64 F F))
accuracy18.147779448702053
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
accuracy32.18235027497604
#s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F))))
accuracy0.15625
(*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy0.24609375
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy13.317769617776472
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
Samples
109.0ms82×1valid
94.0ms37×2valid
73.0ms14×3valid
40.0ms123×0valid
Compiler

Compiled 264 to 44 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 284.0ms
ival-tan: 175.0ms (61.6% of total)
ival-mult: 41.0ms (14.4% of total)
ival-div: 20.0ms (7% of total)
adjust: 10.0ms (3.5% of total)
ival-add: 10.0ms (3.5% of total)
ival-sqrt: 9.0ms (3.2% of total)
ival-sub: 7.0ms (2.5% of total)
const: 6.0ms (2.1% of total)
ival-neg: 3.0ms (1.1% of total)
ival-pi: 2.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series46.0ms (0.3%)

Memory
16.2MiB live, 89.6MiB allocated
Counts
26 → 396
Calls
Call 1
Inputs
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (patch (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())
#s(alt (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (sqrt.f64 (PI.f64))) (patch (sqrt.f64 (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F))))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F))))) #<representation binary64>) () ())
#s(alt #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))) (patch #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F))) (patch (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F))) #<representation binary64>) () ())
#s(alt (neg.f64 (PI.f64)) (patch (neg.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64)))) #<representation binary64>) () ())
#s(alt (*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))) (patch (*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 F F)) (patch (/.f64 #s(literal -1 binary64) (*.f64 F F)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (PI.f64) F) F) (patch (/.f64 (/.f64 (PI.f64) F) F) #<representation binary64>) () ())
#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))) #<representation binary64>) () ())
#s(alt (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (patch (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) #<representation binary64>) () ())
#s(alt (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) (patch (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F)))) (patch (fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F)))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F))) (patch (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F)) (patch (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 l (*.f64 F F)) (patch (/.f64 l (*.f64 F F)) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) F) (patch (/.f64 (PI.f64) F) #<representation binary64>) () ())
#s(alt #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (patch #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 l l) (PI.f64)) (patch (*.f64 (*.f64 l l) (PI.f64)) #<representation binary64>) () ())
Outputs
#s(alt (* l (- (PI) (/ (PI) (pow F 2)))) (taylor 0 l) (#s(alt #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (patch #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) #<representation binary64>) () ())) ())
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#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (patch #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (patch #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (patch #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin (* l (PI))) (cos (* l (PI)))) (taylor -inf l) (#s(alt #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (patch #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (PI)) (taylor 0 l) (#s(alt (*.f64 (*.f64 l l) (PI.f64)) (patch (*.f64 (*.f64 l l) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (PI)) (taylor 0 l) (#s(alt (*.f64 (*.f64 l l) (PI.f64)) (patch (*.f64 (*.f64 l l) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (PI)) (taylor 0 l) (#s(alt (*.f64 (*.f64 l l) (PI.f64)) (patch (*.f64 (*.f64 l l) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (PI)) (taylor 0 l) (#s(alt (*.f64 (*.f64 l l) (PI.f64)) (patch (*.f64 (*.f64 l l) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (PI)) (taylor inf l) (#s(alt (*.f64 (*.f64 l l) (PI.f64)) (patch (*.f64 (*.f64 l l) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (PI)) (taylor inf l) (#s(alt (*.f64 (*.f64 l l) (PI.f64)) (patch (*.f64 (*.f64 l l) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (PI)) (taylor inf l) (#s(alt (*.f64 (*.f64 l l) (PI.f64)) (patch (*.f64 (*.f64 l l) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (PI)) (taylor inf l) (#s(alt (*.f64 (*.f64 l l) (PI.f64)) (patch (*.f64 (*.f64 l l) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (PI)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) (PI.f64)) (patch (*.f64 (*.f64 l l) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (PI)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) (PI.f64)) (patch (*.f64 (*.f64 l l) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (PI)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) (PI.f64)) (patch (*.f64 (*.f64 l l) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (PI)) (taylor -inf l) (#s(alt (*.f64 (*.f64 l l) (PI.f64)) (patch (*.f64 (*.f64 l l) (PI.f64)) #<representation binary64>) () ())) ())
Calls

99 calls:

TimeVariablePointExpression
20.0ms
l
@0
(* l (sqrt (sqrt (PI))))
1.0ms
l
@inf
(* l (+ (* (/ -1 (* F F)) (PI)) (PI)))
0.0ms
l
@0
(* l (+ (* (/ -1 (* F F)) (PI)) (PI)))
0.0ms
l
@-inf
(/ l (* F F))
0.0ms
l
@0
(/ l (* F F))

simplify614.0ms (3.9%)

Memory
-108.8MiB live, 502.5MiB allocated
Algorithm
egg-herbie
Rules
18 342×lower-fma.f64
18 342×lower-fma.f32
6 486×lower-*.f64
6 486×lower-*.f32
3 090×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01755651
14925349
216154853
376884853
081784768
Stop Event
iter limit
node limit
Counts
396 → 396
Calls
Call 1
Inputs
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(/ (+ (* -1 (PI)) (* (pow F 2) (PI))) (pow F 2))
(/ (+ (* -1 (PI)) (* (pow F 2) (PI))) (pow F 2))
(/ (+ (* -1 (PI)) (* (pow F 2) (PI))) (pow F 2))
(PI)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(PI)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
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(* l (PI))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
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(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
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(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(PI)
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(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(PI)
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(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
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(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (* l (PI)) (pow F 2))
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(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (PI) F)
(/ (PI) F)
(/ (PI) F)
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(/ (PI) F)
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(/ (sin (* l (PI))) (cos (* l (PI))))
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(/ (sin (* l (PI))) (cos (* l (PI))))
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(* (pow l 2) (PI))
(* (pow l 2) (PI))
(* (pow l 2) (PI))
(* (pow l 2) (PI))
(* (pow l 2) (PI))
(* (pow l 2) (PI))
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(* (pow l 2) (PI))
(* (pow l 2) (PI))
(* (pow l 2) (PI))
(* (pow l 2) (PI))
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Outputs
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(* l (PI))
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(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 F F)) l)) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/3 binary64) (*.f64 F F))) (*.f64 (*.f64 l l) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (PI.f64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F)))) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/3 binary64) (*.f64 F F))) (*.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (PI.f64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal -1/2 binary64) (*.f64 F F))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64))) (*.f64 F F))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (PI.f64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F))))) (/.f64 (PI.f64) (*.f64 F F))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(/ (PI) F)
(/.f64 (PI.f64) F)
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l (*.f64 l (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (PI.f64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/5040 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (PI.f64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))))) (fma.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64)))))) (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (PI.f64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))))))) (PI.f64)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(* (pow l 2) (PI))
(*.f64 l (*.f64 l (PI.f64)))
(* (pow l 2) (PI))
(*.f64 l (*.f64 l (PI.f64)))
(* (pow l 2) (PI))
(*.f64 l (*.f64 l (PI.f64)))
(* (pow l 2) (PI))
(*.f64 l (*.f64 l (PI.f64)))
(* (pow l 2) (PI))
(*.f64 l (*.f64 l (PI.f64)))
(* (pow l 2) (PI))
(*.f64 l (*.f64 l (PI.f64)))
(* (pow l 2) (PI))
(*.f64 l (*.f64 l (PI.f64)))
(* (pow l 2) (PI))
(*.f64 l (*.f64 l (PI.f64)))
(* (pow l 2) (PI))
(*.f64 l (*.f64 l (PI.f64)))
(* (pow l 2) (PI))
(*.f64 l (*.f64 l (PI.f64)))
(* (pow l 2) (PI))
(*.f64 l (*.f64 l (PI.f64)))
(* (pow l 2) (PI))
(*.f64 l (*.f64 l (PI.f64)))

rewrite294.0ms (1.9%)

Memory
27.1MiB live, 375.3MiB allocated
Rules
6 582×lower-fma.f32
6 576×lower-fma.f64
5 710×lower-*.f32
5 688×lower-*.f64
4 314×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048313
080314
1280281
21937281
08849277
Stop Event
iter limit
node limit
iter limit
Counts
26 → 1 033
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (sqrt.f64 (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
#s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F))))
(*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))
(neg.f64 (PI.f64))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))))
(*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (*.f64 F F))
(/.f64 (/.f64 (PI.f64) F) F)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F))))
(PI.f64)
(neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F)))
(/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F))
(sqrt.f64 (PI.f64))
(/.f64 l (*.f64 F F))
(/.f64 (PI.f64) F)
#s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 l l) (PI.f64))
Outputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 #s(literal 1 binary64) (*.f64 l (PI.f64)))
(*.f64 (PI.f64) l)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l)
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/4 binary64)))
(fabs.f64 (sqrt.f64 (sqrt.f64 (PI.f64))))
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eval301.0ms (1.9%)

Memory
12.0MiB live, 436.5MiB allocated
Compiler

Compiled 43 462 to 4 775 computations (89% saved)

prune384.0ms (2.5%)

Memory
-4.1MiB live, 559.6MiB allocated
Pruning

22 alts after pruning (12 fresh and 10 done)

PrunedKeptTotal
New2 03832 041
Fresh4913
Picked145
Done066
Total2 043222 065
Accuracy
99.7%
Counts
2 065 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.5%
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
74.2%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (*.f64 F F))))
74.3%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
51.0%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F))))
57.1%
(fma.f64 (PI.f64) l (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 l (PI.f64))))) #s(literal -1 binary64)))))
74.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
68.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))))
68.1%
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
68.1%
#s(approx (- (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
78.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
78.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
78.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))))
68.1%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal -1 binary64) F) (PI.f64))))
68.1%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
79.0%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
18.6%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (/ (PI) F) F)) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
21.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) F)))
21.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 (*.f64 l (sqrt.f64 (PI.f64))) (neg.f64 F)) (/.f64 (sqrt.f64 (PI.f64)) F))))
18.6%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (*.f64 l (/.f64 #s(literal -1 binary64) (*.f64 F F))) (PI.f64))))
21.9%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
18.6%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
18.6%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))
Compiler

Compiled 939 to 336 computations (64.2% saved)

regimes113.0ms (0.7%)

Memory
4.3MiB live, 161.4MiB allocated
Counts
45 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (* (sqrt (PI)) (sqrt (PI))) (* F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (/ (PI) F) F)) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
#s(approx (- (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (*.f64 l (/.f64 #s(literal -1 binary64) (*.f64 F F))) (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) F)))
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal -1 binary64) F) (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 (*.f64 l (sqrt.f64 (PI.f64))) (neg.f64 F)) (/.f64 (sqrt.f64 (PI.f64)) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.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 (PI.f64) l)) F) F))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (neg.f64 F)))
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(fma.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(fma.f64 (PI.f64) l (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 l (PI.f64))))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
Outputs
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
Calls

6 calls:

26.0ms
(*.f64 (PI.f64) l)
23.0ms
l
21.0ms
(/.f64 #s(literal 1 binary64) (*.f64 F F))
16.0ms
F
12.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Results
AccuracySegmentsBranch
86.5%2F
99.4%2l
88.5%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
99.4%2(*.f64 (PI.f64) l)
86.1%2(/.f64 #s(literal 1 binary64) (*.f64 F F))
86.1%2(*.f64 F F)
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes40.0ms (0.3%)

Memory
10.2MiB live, 49.7MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (* (sqrt (PI)) (sqrt (PI))) (* F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (/ (PI) F) F)) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
#s(approx (- (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (*.f64 l (/.f64 #s(literal -1 binary64) (*.f64 F F))) (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) F)))
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal -1 binary64) F) (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 (*.f64 l (sqrt.f64 (PI.f64))) (neg.f64 F)) (/.f64 (sqrt.f64 (PI.f64)) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.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 (PI.f64) l)) F) F))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (neg.f64 F)))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
Calls

2 calls:

28.0ms
l
10.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
99.4%2l
99.4%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes62.0ms (0.4%)

Memory
-1.2MiB live, 46.4MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (* (sqrt (PI)) (sqrt (PI))) (* F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (/ (PI) F) F)) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
#s(approx (- (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (*.f64 l (/.f64 #s(literal -1 binary64) (*.f64 F F))) (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) F)))
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal -1 binary64) F) (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 (*.f64 l (sqrt.f64 (PI.f64))) (neg.f64 F)) (/.f64 (sqrt.f64 (PI.f64)) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Outputs
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
Calls

2 calls:

51.0ms
(*.f64 (PI.f64) l)
9.0ms
l
Results
AccuracySegmentsBranch
96.1%2l
96.1%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes34.0ms (0.2%)

Memory
1.1MiB live, 40.5MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (* (sqrt (PI)) (sqrt (PI))) (* F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (/ (PI) F) F)) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
#s(approx (- (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (*.f64 l (/.f64 #s(literal -1 binary64) (*.f64 F F))) (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) F)))
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal -1 binary64) F) (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 (*.f64 l (sqrt.f64 (PI.f64))) (neg.f64 F)) (/.f64 (sqrt.f64 (PI.f64)) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))))
Outputs
(fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
Calls

2 calls:

23.0ms
(*.f64 (PI.f64) l)
9.0ms
l
Results
AccuracySegmentsBranch
95.7%2l
95.7%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes25.0ms (0.2%)

Memory
-6.0MiB live, 33.6MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (* (sqrt (PI)) (sqrt (PI))) (* F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (/ (PI) F) F)) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
#s(approx (- (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (*.f64 l (/.f64 #s(literal -1 binary64) (*.f64 F F))) (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) F)))
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal -1 binary64) F) (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) #s(approx (tan (* (PI) l)) (*.f64 l (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 (*.f64 l (sqrt.f64 (PI.f64))) (neg.f64 F)) (/.f64 (sqrt.f64 (PI.f64)) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
Outputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
Calls

2 calls:

15.0ms
l
8.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
95.6%2l
95.6%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes24.0ms (0.2%)

Memory
-13.5MiB live, 26.0MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (* (sqrt (PI)) (sqrt (PI))) (* F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (/ (PI) F) F)) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
#s(approx (- (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (*.f64 l (/.f64 #s(literal -1 binary64) (*.f64 F F))) (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 (/.f64 l F) (PI.f64)) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 (/.f64 l F) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) F)))
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))
Outputs
#s(approx (- (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
Calls

2 calls:

17.0ms
l
5.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
95.6%2l
95.6%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (* (sqrt (PI)) (sqrt (PI))) (* F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (/ (PI) F) F)) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
Outputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
Calls

2 calls:

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

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (* (sqrt (PI)) (sqrt (PI))) (* F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l #s(approx (- (PI) (/ (/ (PI) F) F)) (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))))
Outputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
Calls

3 calls:

3.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
3.0ms
(*.f64 (PI.f64) l)
3.0ms
l
Results
AccuracySegmentsBranch
88.5%3(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
79.0%1l
79.0%1(*.f64 (PI.f64) l)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory
-44.0MiB live, 3.1MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))
Outputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
Calls

1 calls:

15.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Results
AccuracySegmentsBranch
88.5%3(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes5.0ms (0%)

Memory
9.3MiB live, 9.3MiB 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 l (PI.f64)))
Outputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
Calls

4 calls:

1.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
1.0ms
F
1.0ms
(/.f64 #s(literal 1 binary64) (*.f64 F F))
1.0ms
(*.f64 F F)
Results
AccuracySegmentsBranch
79.0%1(*.f64 F F)
79.0%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
79.0%1F
79.0%1(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Compiler

Compiled 31 to 20 computations (35.5% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5664216.927997459
3.1660935114452154e+24
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5664216.927997459
3.1660935114452154e+24
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5664216.927997459
3.1660935114452154e+24
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5664216.927997459
3.1660935114452154e+24
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5664216.927997459
3.1660935114452154e+24
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5664216.927997459
3.1660935114452154e+24
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5664216.927997459
3.1660935114452154e+24
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.362955329039048e-257
3.0312209051988933e-302
0.0ms
-5.33674702608063e+189
-2.7303893531995115e+184
Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.362955329039048e-257
3.0312209051988933e-302
0.0ms
-5.33674702608063e+189
-2.7303893531995115e+184
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify13.0ms (0.1%)

Memory
22.8MiB live, 22.8MiB allocated
Algorithm
egg-herbie
Rules
60×*-commutative_binary64
50×sub-neg_binary64
48×+-commutative_binary64
40×neg-sub0_binary64
40×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087536
1135536
2198536
3240536
4263536
5267536
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 10000000 binary64)) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 10000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 10000000 binary64)) (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.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 10000000 binary64)) (fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.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 10000000 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (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 10000000 binary64)) #s(approx (- (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.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 10000000 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) #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 -5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) #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 -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F))))) #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 -5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) #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 -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
Outputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 10000000 binary64)) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 10000000 binary64)) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 10000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 10000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 10000000 binary64)) (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.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 10000000 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 10000000 binary64)) (fma.f64 (PI.f64) l (neg.f64 (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.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 10000000 binary64)) (fma.f64 (PI.f64) l (/.f64 #s(approx (tan (* (PI) l)) (*.f64 l (fma.f64 (*.f64 (PI.f64) (*.f64 l l)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (PI.f64)))) (*.f64 F (neg.f64 F)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 10000000 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (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 10000000 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (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 10000000 binary64)) #s(approx (- (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.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 10000000 binary64)) #s(approx (- (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.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 10000000 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.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 10000000 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) #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 -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))))
(if (<=.f64 (+.f64 (*.f64 (PI.f64) l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))) #s(literal -5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) (if (<=.f64 (+.f64 (*.f64 (PI.f64) l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64))))) #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 -5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) #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 -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (neg.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))))
(if (<=.f64 (+.f64 (*.f64 (PI.f64) l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))) #s(literal -5000000000000000362795857986593891805151712143905686412284171991986050862460344537226034090871620975870312988434337860580667376581818706885745182890019660896106312259126346160401605497716736 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)) (if (<=.f64 (+.f64 (*.f64 (PI.f64) l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* l (- (PI) (/ (PI) (* F F)))) (/.f64 (*.f64 (PI.f64) l) (*.f64 F (neg.f64 F))))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))

soundness1.3s (8.3%)

Memory
-18.7MiB live, 460.8MiB allocated
Rules
17 378×lower-fma.f64
17 378×lower-fma.f32
16 132×lower-fma.f64
16 132×lower-fma.f32
10 824×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01491418
14321331
214501227
369161158
085051124
01037
01737
17031
246731
3666931
0819131
039269
062267
1206200
21204198
08305198
036192
061150
1211148
21475148
08497148
01655726
14715384
215394854
372744842
080334735
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 571 to 223 computations (60.9% saved)

preprocess292.0ms (1.9%)

Memory
-8.6MiB live, 169.9MiB allocated
Remove

(abs F)

Compiler

Compiled 872 to 280 computations (67.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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