VandenBroeck and Keller, Equation (6)

Time bar (total: 15.0s)

analyze187.0ms (1.2%)

Memory
22.1MiB live, 256.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
21.9%21.9%78%0.1%0%0%0%7
23.4%23.4%76.5%0.1%0%0%0%8
35.2%35.1%64.8%0.1%0%0%0%9
36.3%36.3%63.6%0.1%0%0%0%10
42.4%42.3%57.6%0.1%0%0%0%11
43.1%43%56.9%0.1%0%0%0%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample4.7s (31.4%)

Memory
78.3MiB live, 4 741.9MiB allocated
Samples
3.9s3 797×1valid
322.0ms4 402×0valid
129.0ms57×2valid
2.0ms4exit
Precisions
Click to see histograms. Total time spent on operations: 4.1s
ival-tan: 3.5s (86.9% of total)
ival-mult: 264.0ms (6.5% of total)
ival-div: 91.0ms (2.2% of total)
ival-pi: 58.0ms (1.4% of total)
adjust: 52.0ms (1.3% of total)
ival-sub: 52.0ms (1.3% of total)
exact: 8.0ms (0.2% of total)
ival-true: 6.0ms (0.1% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

preprocess73.0ms (0.5%)

Memory
29.4MiB live, 104.1MiB 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)

explain525.0ms (3.5%)

Memory
-6.6MiB live, 708.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1281(1.1232177962309987e-240 55.734103385608435)1(3.0314512886883348e+172 5.889482190559844)(tan.f64 (*.f64 (PI.f64) l))
490-0-(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
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-(/.f64 #s(literal 1 binary64) (*.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))sensitivity1270
*.f64(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))n*o170
tan.f64(tan.f64 (*.f64 (PI.f64) l))oflow-rescue10
(*.f64 (PI.f64) l)overflow1
Confusion
Predicted +Predicted -
+670
-78111
Precision
0.46206896551724136
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6700
-780111
Precision?
0.46206896551724136
Recall?
1.0
Freqs
test
numberfreq
0111
1145
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
140.0ms82×2valid
129.0ms148×1valid
66.0ms16×3valid
25.0ms266×0valid
Compiler

Compiled 122 to 44 computations (63.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 333.0ms
ival-tan: 281.0ms (84.4% of total)
ival-sub: 21.0ms (6.3% of total)
ival-mult: 16.0ms (4.8% of total)
ival-div: 6.0ms (1.8% of total)
adjust: 5.0ms (1.5% of total)
ival-pi: 4.0ms (1.2% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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
74.8%
(-.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)

simplify32.0ms (0.2%)

Memory
11.3MiB live, 48.6MiB 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))

localize212.0ms (1.4%)

Memory
20.0MiB live, 403.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 #s(literal 1 binary64) (*.f64 F F))
accuracy99.7%
(*.f64 (PI.f64) l)
accuracy81.4%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
accuracy52.8%
(tan.f64 (*.f64 (PI.f64) l))
Samples
79.0ms74×1valid
74.0ms41×2valid
34.0ms3valid
11.0ms133×0valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 183.0ms
ival-tan: 162.0ms (88.5% of total)
ival-mult: 11.0ms (6% of total)
ival-div: 3.0ms (1.6% of total)
adjust: 3.0ms (1.6% of total)
ival-pi: 2.0ms (1.1% of total)
ival-sub: 2.0ms (1.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
-7.1MiB live, 30.4MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))>
#<alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))>
#<alt (*.f64 (PI.f64) l)>
#<alt (PI.f64)>
#<alt (tan.f64 (*.f64 (PI.f64) l))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 F F))>
Outputs
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
Calls

21 calls:

TimeVariablePointExpression
5.0ms
l
@0
(* (/ 1 (* F F)) (tan (* (PI) l)))
3.0ms
F
@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))))

rewrite601.0ms (4%)

Memory
-1.0MiB live, 530.0MiB allocated
Algorithm
batch-egg-rewrite
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)))))
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(/.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))

simplify505.0ms (3.4%)

Memory
9.7MiB live, 850.5MiB 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)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 l (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) l)) (*.f64 F F)) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (/.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))))
(* 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)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (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)))))))))
(-.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))) (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))
(-.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))
(* 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 l) (*.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)) (+ (* -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 (*.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))))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 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))

eval152.0ms (1%)

Memory
-14.0MiB live, 112.0MiB allocated
Compiler

Compiled 12 757 to 1 237 computations (90.3% saved)

prune102.0ms (0.7%)

Memory
-2.5MiB live, 119.1MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New46115476
Fresh000
Picked101
Done000
Total46215477
Accuracy
99.9%
Counts
477 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.9%
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
74.9%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
74.8%
(/.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)))))
74.5%
(-.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))))
80.9%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
80.9%
(-.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)))
81.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
66.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
74.8%
(-.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))))
74.9%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l))))
48.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.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)))))
51.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))))
66.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
66.9%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
71.7%
(*.f64 l (PI.f64))
Compiler

Compiled 552 to 332 computations (39.9% saved)

simplify289.0ms (1.9%)

Memory
18.8MiB live, 370.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l))))
cost-diff320
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l)))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) F) 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) l)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))
cost-diff320
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 l (PI.f64))
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))
cost-diff640
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))
Rules
8 320×lower-fma.f32
8 318×lower-fma.f64
2 068×lower-+.f64
2 068×lower-+.f32
1 976×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024180
044188
192171
2222163
3651163
41503163
51903163
62185163
72320163
82823163
93818163
104440163
116731163
08031163
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))
(*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(tan.f64 (*.f64 (PI.f64) l))
(neg.f64 F)
(*.f64 l (PI.f64))
l
(PI.f64)
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
(*.f64 l (PI.f64))
(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) F) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/.f64 #s(literal 1 binary64) F)
#s(literal 1 binary64)
F
(tan.f64 (*.f64 (PI.f64) l))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(tan.f64 (*.f64 (PI.f64) l))
(neg.f64 F)
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
l
(PI.f64)
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.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 (neg.f64 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) 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 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/.f64 (/.f64 #s(literal 1 binary64) F) 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))

localize336.0ms (2.2%)

Memory
-27.5MiB live, 405.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
accuracy99.7%
(*.f64 (PI.f64) l)
accuracy81.4%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l)))
accuracy52.8%
(tan.f64 (*.f64 (PI.f64) l))
accuracy99.7%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
accuracy99.7%
(*.f64 (PI.f64) l)
accuracy81.8%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
accuracy52.8%
(tan.f64 (*.f64 (PI.f64) l))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (*.f64 F F))
accuracy99.7%
(*.f64 (PI.f64) l)
accuracy99.7%
(*.f64 l (PI.f64))
accuracy88.1%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))
accuracy100.0%
(PI.f64)
accuracy99.7%
(*.f64 l (PI.f64))
accuracy99.9%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))
accuracy99.7%
(*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))
accuracy99.7%
(*.f64 (PI.f64) l)
accuracy52.8%
(tan.f64 (*.f64 (PI.f64) l))
Samples
119.0ms42×2valid
103.0ms73×1valid
31.0ms3valid
29.0ms133×0valid
Compiler

Compiled 183 to 26 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 247.0ms
ival-tan: 168.0ms (67.9% of total)
ival-div: 44.0ms (17.8% of total)
ival-mult: 15.0ms (6.1% of total)
adjust: 6.0ms (2.4% of total)
ival-sub: 5.0ms (2% of total)
ival-neg: 3.0ms (1.2% of total)
ival-pi: 2.0ms (0.8% of total)
ival-add: 2.0ms (0.8% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory
0.4MiB live, 39.1MiB allocated
Counts
16 → 300
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))>
#<alt (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))>
#<alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))>
#<alt (*.f64 (PI.f64) l)>
#<alt (*.f64 l (PI.f64))>
#<alt (PI.f64)>
#<alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))>
#<alt (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))>
#<alt (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))>
#<alt (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) F) F)>
#<alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l)))>
#<alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l))))>
#<alt (tan.f64 (*.f64 (PI.f64) l))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 F F))>
Outputs
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (* l (PI)) F))>
#<alt (* l (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))) (* -1 (/ (PI) F))))>
#<alt (* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))))))>
#<alt (* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* l (- (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
Calls

75 calls:

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

rewrite410.0ms (2.7%)

Memory
23.4MiB live, 625.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 394×lower-fma.f32
6 392×lower-fma.f64
4 612×lower-/.f32
4 600×lower-/.f64
4 476×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024130
044138
1187109
21524109
08321109
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 004
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))
(*.f64 (/.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) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(PI.f64)
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))
(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) F)
(*.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) F) (tan.f64 (*.f64 (PI.f64) l))))
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(-.f64 (/.f64 #s(literal 0 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 F F))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(neg.f64 (/.f64 (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 #s(literal -1 binary64) (/.f64 (neg.f64 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (neg.f64 F) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (neg.f64 (*.f64 F F))))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 F))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))))
(/.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 (cos.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))) (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)))
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(*.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))
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(tan.f64 (*.f64 (PI.f64) l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
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(/.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))
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 F)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 F F))))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(pow.f64 F #s(literal -2 binary64))
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(pow.f64 (neg.f64 F) #s(literal -2 binary64))
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(pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 2 binary64))
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simplify390.0ms (2.6%)

Memory
17.2MiB live, 806.4MiB allocated
Algorithm
egg-herbie
Rules
12 242×lower-fma.f64
12 242×lower-fma.f32
5 048×lower-*.f64
5 048×lower-*.f32
3 694×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02115041
16444783
221364425
082214333
Stop Event
iter limit
node limit
Counts
300 → 300
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))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (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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(* -1 (/ (* l (PI)) F))
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(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
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(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
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(* 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)))))))))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* 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)))
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(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
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(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
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(* 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) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
Outputs
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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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)))))
(/.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)))))
(/ (* 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) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 F F)) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F)))))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 F F))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) #s(literal 1/3 binary64))) (/.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)))))
(/.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)))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
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(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
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(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
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(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
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(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
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(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
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(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
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(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
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(* -1 (/ (* l (PI)) F))
(/.f64 (*.f64 l (neg.f64 (PI.f64))) F)
(* l (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))) (* -1 (/ (PI) F))))
(*.f64 l (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) #s(literal -1/3 binary64) (/.f64 (PI.f64) (neg.f64 F))))
(* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))))))
(*.f64 l (-.f64 (*.f64 (*.f64 l l) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) F) (*.f64 (*.f64 l l) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) F)))) (/.f64 (PI.f64) F)))
(* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (fma.f64 (*.f64 l l) (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F)) (fma.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))) F) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) F) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64)) F)))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) F)) (neg.f64 (*.f64 l l)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) F)) (/.f64 (PI.f64) (neg.f64 F))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
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(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) #s(literal 1/3 binary64)) (/.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 (*.f64 l l) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 F F)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) #s(literal 1/3 binary64))) (/.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 (*.f64 l l) (fma.f64 (*.f64 l l) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 F F)) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F)))))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 F F))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) #s(literal 1/3 binary64))) (/.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)))))
(* 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 (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 (-.f64 (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 F F))) (*.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))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 F F)) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F))))) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 F F)))) (*.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))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F (neg.f64 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) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l l) (*.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)) (+ (* -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 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 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 (*.f64 l l) (fma.f64 (*.f64 l l) (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (fma.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 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))

eval300.0ms (2%)

Memory
-3.0MiB live, 587.2MiB allocated
Compiler

Compiled 36 763 to 2 819 computations (92.3% saved)

prune197.0ms (1.3%)

Memory
-35.2MiB live, 421.7MiB allocated
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1 782121 794
Fresh8210
Picked325
Done000
Total1 793161 809
Accuracy
100.0%
Counts
1 809 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.5%
(fma.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
72.9%
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
66.8%
(fma.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)) (*.f64 (PI.f64) l))
51.7%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))) (*.f64 F F))))
74.9%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
22.3%
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
66.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))))
72.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
72.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F))
59.8%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) #s(literal -1/3 binary64) (/.f64 (PI.f64) (neg.f64 F)))) (neg.f64 F)))
66.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (PI.f64))))
48.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.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)))))
66.8%
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
66.9%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
71.2%
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
71.7%
(*.f64 l (PI.f64))
Compiler

Compiled 517 to 309 computations (40.2% saved)

simplify247.0ms (1.6%)

Memory
34.8MiB live, 310.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
cost-diff0
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
cost-diff0
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
cost-diff0
(*.f64 (PI.f64) l)
cost-diff320
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (PI.f64)))
cost-diff320
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (PI.f64))))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
cost-diff0
(neg.f64 (PI.f64))
cost-diff0
(*.f64 F F)
cost-diff0
(/.f64 l (*.f64 F F))
cost-diff320
(fma.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)) (*.f64 (PI.f64) l))
cost-diff0
(*.f64 F (neg.f64 F))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 l (PI.f64))
cost-diff0
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
cost-diff0
(neg.f64 F)
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (neg.f64 F))
cost-diff704
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
Rules
6 688×lower-fma.f32
6 684×lower-fma.f64
2 158×lower-*.f32
2 142×lower-*.f64
1 566×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026149
051147
1102144
2236139
3527139
4927139
51176139
61445139
71775139
82118139
93021139
103942139
114802139
126162139
137209139
147899139
08004139
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
(/.f64 (PI.f64) (neg.f64 F))
(PI.f64)
(neg.f64 F)
F
(/.f64 l F)
l
(*.f64 (PI.f64) l)
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
(*.f64 l (PI.f64))
l
(PI.f64)
(*.f64 F (neg.f64 F))
F
(neg.f64 F)
(fma.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)) (*.f64 (PI.f64) l))
(/.f64 l (*.f64 F F))
l
(*.f64 F F)
F
(neg.f64 (PI.f64))
(PI.f64)
(*.f64 (PI.f64) l)
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (PI.f64))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/.f64 #s(literal 1 binary64) F)
#s(literal 1 binary64)
F
(*.f64 l (PI.f64))
(*.f64 l (*.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)))
Outputs
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (PI.f64) (neg.f64 F))
(/.f64 (neg.f64 (PI.f64)) F)
(PI.f64)
(neg.f64 F)
F
(/.f64 l F)
l
(*.f64 (PI.f64) l)
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
(neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
l
(PI.f64)
(*.f64 F (neg.f64 F))
(neg.f64 (*.f64 F F))
F
(neg.f64 F)
(fma.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)) (*.f64 (PI.f64) l))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 l (*.f64 F F))
l
(*.f64 F F)
F
(neg.f64 (PI.f64))
(PI.f64)
(*.f64 (PI.f64) l)
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (PI.f64))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (PI.f64)))
(/.f64 (*.f64 (PI.f64) l) (*.f64 F F))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/.f64 #s(literal 1 binary64) F)
#s(literal 1 binary64)
F
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(*.f64 l (*.f64 (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))))))
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)))

localize109.0ms (0.7%)

Memory
-38.5MiB live, 142.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(PI.f64)
accuracy99.7%
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
accuracy98.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
accuracy99.7%
(*.f64 (PI.f64) l)
accuracy99.7%
(*.f64 l (PI.f64))
accuracy88.1%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (PI.f64)))
accuracy100.0%
(PI.f64)
accuracy99.8%
(fma.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)) (*.f64 (PI.f64) l))
accuracy99.7%
(*.f64 (PI.f64) l)
accuracy88.6%
(/.f64 l (*.f64 F F))
accuracy100.0%
(neg.f64 F)
accuracy100.0%
(PI.f64)
accuracy99.7%
(*.f64 l (PI.f64))
accuracy88.1%
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
accuracy100.0%
(PI.f64)
accuracy99.8%
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
accuracy99.7%
(*.f64 (PI.f64) l)
accuracy99.6%
(/.f64 (PI.f64) (neg.f64 F))
Samples
56.0ms256×0valid
Compiler

Compiled 153 to 30 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 15.0ms (41.8% of total)
ival-div: 10.0ms (27.8% of total)
ival-sqrt: 5.0ms (13.9% of total)
ival-add: 2.0ms (5.6% of total)
ival-neg: 2.0ms (5.6% of total)
ival-pi: 1.0ms (2.8% of total)
ival-sub: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#<alt (fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))>
#<alt (/.f64 (PI.f64) (neg.f64 F))>
#<alt (PI.f64)>
#<alt (neg.f64 F)>
#<alt (/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))>
#<alt (*.f64 l (PI.f64))>
#<alt (*.f64 F (neg.f64 F))>
#<alt (fma.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)) (*.f64 (PI.f64) l))>
#<alt (/.f64 l (*.f64 F F))>
#<alt (*.f64 F F)>
#<alt (neg.f64 (PI.f64))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) F) F)>
#<alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (PI.f64))))>
#<alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (PI.f64)))>
#<alt (*.f64 (PI.f64) l)>
#<alt (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))>
#<alt (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))>
#<alt (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))>
#<alt (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))>
#<alt (sqrt.f64 (PI.f64))>
Outputs
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))>
#<alt (* -1 (/ (PI) F))>
#<alt (* -1 (/ (PI) F))>
#<alt (* -1 (/ (PI) F))>
#<alt (* -1 (/ (PI) F))>
#<alt (* -1 (/ (PI) F))>
#<alt (* -1 (/ (PI) F))>
#<alt (* -1 (/ (PI) F))>
#<alt (* -1 (/ (PI) F))>
#<alt (* -1 (/ (PI) F))>
#<alt (* -1 (/ (PI) F))>
#<alt (* -1 (/ (PI) F))>
#<alt (* -1 (/ (PI) F))>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
Calls

60 calls:

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

rewrite923.0ms (6.2%)

Memory
0.7MiB live, 497.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
13 808×lower-fma.f32
13 804×lower-fma.f64
4 818×lower-*.f32
4 804×lower-*.f64
3 316×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026115
05197
119685
2154784
0851484
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 083
Calls
Call 1
Inputs
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
(/.f64 (PI.f64) (neg.f64 F))
(PI.f64)
(neg.f64 F)
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
(*.f64 l (PI.f64))
(*.f64 F (neg.f64 F))
(fma.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)) (*.f64 (PI.f64) l))
(/.f64 l (*.f64 F F))
(*.f64 F F)
(neg.f64 (PI.f64))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (PI.f64)))
(*.f64 (PI.f64) l)
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (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)))
(sqrt.f64 (PI.f64))
Outputs
(+.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F (neg.f64 F))))
(+.f64 (*.f64 (PI.f64) l) (*.f64 (neg.f64 l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (PI.f64))))
(+.f64 (*.f64 (PI.f64) l) (*.f64 (neg.f64 l) (/.f64 (PI.f64) (*.f64 F F))))
(+.f64 (*.f64 (PI.f64) l) (*.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (PI.f64) l) (*.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))))
(+.f64 (*.f64 (PI.f64) l) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (PI.f64))) l))
(+.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 l (-.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) (PI.f64)))) (neg.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 l (-.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) (PI.f64))))))
(+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))) (fma.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)) (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))))) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))) (*.f64 (*.f64 F F) (*.f64 (*.f64 F F) (*.f64 F F)))) (fma.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)) (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F))))) (neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 l (-.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 l (-.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) (PI.f64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))) (fma.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)) (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))))) (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))) (*.f64 (*.f64 F F) (*.f64 (*.f64 F F) (*.f64 F F)))) (fma.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)) (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F))))) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F))))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))) (fma.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F))))) (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))) (*.f64 (*.f64 F F) (*.f64 (*.f64 F F) (*.f64 F F)))) (fma.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (+.f64 l (/.f64 l (*.f64 F F)))) (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F))))))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (PI.f64) l) (*.f64 F (neg.f64 F))))
(fma.f64 (PI.f64) l (*.f64 (neg.f64 l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (PI.f64))))
(fma.f64 (PI.f64) l (*.f64 (neg.f64 l) (/.f64 (PI.f64) (*.f64 F F))))
(fma.f64 (PI.f64) l (*.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(fma.f64 (PI.f64) l (*.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))))
(fma.f64 (PI.f64) l (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (PI.f64))) l))
(fma.f64 (PI.f64) (/.f64 l (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l))
(fma.f64 (PI.f64) (*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 l F)) (*.f64 (PI.f64) l))
(fma.f64 (PI.f64) (/.f64 (/.f64 l (neg.f64 F)) F) (*.f64 (PI.f64) l))
(fma.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F l) (neg.f64 F))) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
(fma.f64 l (PI.f64) (/.f64 (*.f64 (PI.f64) l) (*.f64 F (neg.f64 F))))
(fma.f64 l (PI.f64) (*.f64 (neg.f64 l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (PI.f64))))
(fma.f64 l (PI.f64) (*.f64 (neg.f64 l) (/.f64 (PI.f64) (*.f64 F F))))
(fma.f64 l (PI.f64) (*.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(fma.f64 l (PI.f64) (*.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))))
(fma.f64 l (PI.f64) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (PI.f64))) l))
(fma.f64 l (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l))
(fma.f64 l (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (neg.f64 (PI.f64))) (*.f64 (PI.f64) l))
(fma.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (neg.f64 (PI.f64))) F)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 l F) (/.f64 (PI.f64) (neg.f64 F)) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) l) (*.f64 F (neg.f64 F))))
(fma.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64) (*.f64 (neg.f64 l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (PI.f64))))
(fma.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64) (*.f64 (neg.f64 l) (/.f64 (PI.f64) (*.f64 F F))))
(fma.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(fma.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))))
(fma.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (PI.f64))) l))
(fma.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)) (*.f64 (PI.f64) l))
(fma.f64 (neg.f64 (PI.f64)) (/.f64 l (*.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F l) F)) (*.f64 (PI.f64) l))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F (neg.f64 F))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (*.f64 (neg.f64 l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (PI.f64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (*.f64 (neg.f64 l) (/.f64 (PI.f64) (*.f64 F F))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (*.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (*.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (PI.f64))) l))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) l) (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal 1 binary64) F) (pow.f64 (/.f64 F (*.f64 l (neg.f64 (PI.f64)))) #s(literal -1 binary64)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (neg.f64 (PI.f64))) (*.f64 (PI.f64) l))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F (neg.f64 F))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (*.f64 (neg.f64 l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (PI.f64))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (*.f64 (neg.f64 l) (/.f64 (PI.f64) (*.f64 F F))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (*.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (*.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (PI.f64))) l))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F (neg.f64 F))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (*.f64 (neg.f64 l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (PI.f64))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (*.f64 (neg.f64 l) (/.f64 (PI.f64) (*.f64 F F))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (*.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (*.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (PI.f64))) l))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 (*.f64 (PI.f64) l) (*.f64 F (neg.f64 F))))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (*.f64 (neg.f64 l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (PI.f64))))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (*.f64 (neg.f64 l) (/.f64 (PI.f64) (*.f64 F F))))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (*.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (*.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (PI.f64))) l))
(fma.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F (neg.f64 F))) #s(literal 1 binary64) (*.f64 (PI.f64) l))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 #s(literal -1 binary64) (*.f64 l (neg.f64 (PI.f64))) (/.f64 (*.f64 (PI.f64) l) (*.f64 F (neg.f64 F))))
(fma.f64 #s(literal -1 binary64) (*.f64 l (neg.f64 (PI.f64))) (*.f64 (neg.f64 l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (PI.f64))))
(fma.f64 #s(literal -1 binary64) (*.f64 l (neg.f64 (PI.f64))) (*.f64 (neg.f64 l) (/.f64 (PI.f64) (*.f64 F F))))
(fma.f64 #s(literal -1 binary64) (*.f64 l (neg.f64 (PI.f64))) (*.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(fma.f64 #s(literal -1 binary64) (*.f64 l (neg.f64 (PI.f64))) (*.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 F F)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))))
(fma.f64 #s(literal -1 binary64) (*.f64 l (neg.f64 (PI.f64))) (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (PI.f64))) l))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F (neg.f64 F))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (*.f64 (neg.f64 l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (PI.f64))))
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(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.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 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (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)))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.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 (PI.f64) l)
(*.f64 l (PI.f64))
(*.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.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 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (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)))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (PI.f64)))))
(+.f64 #s(literal 0 binary64) (PI.f64))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(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 (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))
(-.f64 #s(literal 0 binary64) (neg.f64 (PI.f64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(neg.f64 (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 (PI.f64)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))))
(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 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (*.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 #s(literal -1 binary64) (neg.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))))
(*.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 (pow.f64 (sqrt.f64 (*.f64 (PI.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 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 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 (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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.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 (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 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.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 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (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 (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 3/8 binary64)) (pow.f64 (PI.f64) #s(literal 1/8 binary64))))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (pow.f64 (PI.f64) #s(literal 3/8 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (pow.f64 (PI.f64) #s(literal 3/8 binary64))))
(*.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)))))
(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 #s(literal 1 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.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)))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(pow.f64 (PI.f64) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/4 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(*.f64 (PI.f64) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 5/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 (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 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 (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)))))

simplify375.0ms (2.5%)

Memory
-7.9MiB live, 276.3MiB allocated
Algorithm
egg-herbie
Rules
6 282×lower-fma.f64
6 282×lower-fma.f32
2 824×lower-*.f64
2 824×lower-*.f32
1 790×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0361665
11031665
22561413
36781413
427221413
559301413
677591413
080041413
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* -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)))
(* 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 (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(* -1 (/ (PI) F))
(* -1 F)
(* -1 F)
(* -1 F)
(* -1 F)
(* -1 F)
(* -1 F)
(* -1 F)
(* -1 F)
(* -1 F)
(* -1 F)
(* -1 F)
(* -1 F)
(* -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)))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* -1 (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))
(* 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 (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(* -1 (* l (+ (* -1 (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)))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(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))
(/ 1 (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 (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (* 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)))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(* 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))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
Outputs
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (/ (PI) F))
(/.f64 (PI.f64) (neg.f64 F))
(* -1 (/ (PI) F))
(/.f64 (PI.f64) (neg.f64 F))
(* -1 (/ (PI) F))
(/.f64 (PI.f64) (neg.f64 F))
(* -1 (/ (PI) F))
(/.f64 (PI.f64) (neg.f64 F))
(* -1 (/ (PI) F))
(/.f64 (PI.f64) (neg.f64 F))
(* -1 (/ (PI) F))
(/.f64 (PI.f64) (neg.f64 F))
(* -1 (/ (PI) F))
(/.f64 (PI.f64) (neg.f64 F))
(* -1 (/ (PI) F))
(/.f64 (PI.f64) (neg.f64 F))
(* -1 (/ (PI) F))
(/.f64 (PI.f64) (neg.f64 F))
(* -1 (/ (PI) F))
(/.f64 (PI.f64) (neg.f64 F))
(* -1 (/ (PI) F))
(/.f64 (PI.f64) (neg.f64 F))
(* -1 (/ (PI) F))
(/.f64 (PI.f64) (neg.f64 F))
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (pow F 2))
(*.f64 F (neg.f64 F))
(* -1 (pow F 2))
(*.f64 F (neg.f64 F))
(* -1 (pow F 2))
(*.f64 F (neg.f64 F))
(* -1 (pow F 2))
(*.f64 F (neg.f64 F))
(* -1 (pow F 2))
(*.f64 F (neg.f64 F))
(* -1 (pow F 2))
(*.f64 F (neg.f64 F))
(* -1 (pow F 2))
(*.f64 F (neg.f64 F))
(* -1 (pow F 2))
(*.f64 F (neg.f64 F))
(* -1 (pow F 2))
(*.f64 F (neg.f64 F))
(* -1 (pow F 2))
(*.f64 F (neg.f64 F))
(* -1 (pow F 2))
(*.f64 F (neg.f64 F))
(* -1 (pow F 2))
(*.f64 F (neg.f64 F))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.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))
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(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
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(/ l (pow F 2))
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(/ l (pow F 2))
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(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(/ l (pow F 2))
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(/ l (pow F 2))
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(/ l (pow F 2))
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(/ l (pow F 2))
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(/ l (pow F 2))
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(/ l (pow F 2))
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(/ l (pow F 2))
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(/ l (pow F 2))
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(/ l (pow F 2))
(/.f64 l (*.f64 F F))
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.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))
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(/ 1 (pow F 2))
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(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
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(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
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(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
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(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
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(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
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(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
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(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(* 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.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))

eval418.0ms (2.8%)

Memory
48.4MiB live, 476.3MiB allocated
Compiler

Compiled 36 579 to 3 094 computations (91.5% saved)

prune205.0ms (1.4%)

Memory
29.2MiB live, 559.0MiB allocated
Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New1 965101 975
Fresh549
Picked235
Done022
Total1 972191 991
Accuracy
100.0%
Counts
1 991 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.8%
(fma.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)) (*.f64 (PI.f64) l))
51.7%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))) (*.f64 F F))))
74.9%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
28.3%
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))
28.4%
(/.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 F)) (neg.f64 l)) (neg.f64 F))
17.0%
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
22.3%
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
28.4%
(/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))
66.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))))
59.8%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) #s(literal -1/3 binary64) (/.f64 (PI.f64) (neg.f64 F)))) (neg.f64 F)))
48.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.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)))))
28.3%
(*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F))
22.3%
(*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) l)
22.2%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
71.6%
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
28.4%
(*.f64 (PI.f64) (/.f64 (/.f64 l (neg.f64 F)) F))
66.8%
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
71.2%
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
71.7%
(*.f64 l (PI.f64))
Compiler

Compiled 511 to 319 computations (37.6% saved)

simplify484.0ms (3.2%)

Memory
-123.2MiB live, 406.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
(/.f64 (*.f64 (PI.f64) l) F)
cost-diff384
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
(*.f64 F F)
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 F F))
cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
cost-diff0
(*.f64 F (neg.f64 F))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (*.f64 F (neg.f64 F)))
cost-diff0
(*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) l)
cost-diff0
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
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
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
Rules
4 278×lower-fma.f64
4 278×lower-fma.f32
1 872×lower-*.f32
1 854×lower-*.f64
1 580×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026154
048149
184149
2175149
3343149
4626149
51269149
62170149
72798149
83633149
94721149
105180149
115615149
126205149
136558149
147876149
08033149
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.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)))
(*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) l)
(/.f64 (PI.f64) (*.f64 F (neg.f64 F)))
(PI.f64)
(*.f64 F (neg.f64 F))
F
(neg.f64 F)
l
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(/.f64 #s(literal -1 binary64) (*.f64 F F))
#s(literal -1 binary64)
(*.f64 F F)
F
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))
(/.f64 (*.f64 (PI.f64) l) F)
(*.f64 (PI.f64) l)
(PI.f64)
l
F
(neg.f64 F)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(PI.f64)
(-.f64 l (/.f64 l (*.f64 F F)))
l
(/.f64 l (*.f64 F F))
(*.f64 F F)
F
Outputs
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (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)))
(*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) l)
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (PI.f64) (*.f64 F (neg.f64 F)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(*.f64 F (neg.f64 F))
(neg.f64 (*.f64 F F))
F
(neg.f64 F)
l
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 #s(literal -1 binary64) (*.f64 F F))
#s(literal -1 binary64)
(*.f64 F F)
F
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(PI.f64)
l
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (*.f64 (PI.f64) l) F)
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(PI.f64)
l
F
(neg.f64 F)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(/.f64 #s(literal -1 binary64) (*.f64 l (-.f64 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(PI.f64)
(-.f64 l (/.f64 l (*.f64 F F)))
l
(/.f64 l (*.f64 F F))
(*.f64 F F)
F

localize109.0ms (0.7%)

Memory
-5.4MiB live, 287.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))))
accuracy99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
accuracy88.6%
(/.f64 l (*.f64 F F))
accuracy100.0%
(PI.f64)
accuracy99.8%
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))
accuracy99.7%
(*.f64 (PI.f64) l)
accuracy99.3%
(/.f64 (*.f64 (PI.f64) l) F)
accuracy100.0%
(PI.f64)
accuracy99.8%
(/.f64 #s(literal -1 binary64) (*.f64 F F))
accuracy99.7%
(*.f64 (PI.f64) l)
accuracy88.1%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
accuracy100.0%
(neg.f64 F)
accuracy100.0%
(PI.f64)
accuracy99.7%
(/.f64 (PI.f64) (*.f64 F (neg.f64 F)))
accuracy88.6%
(*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) l)
accuracy100.0%
(PI.f64)
accuracy100.0%
(*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
accuracy99.6%
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy98.4%
(sqrt.f64 (PI.f64))
Samples
69.0ms256×0valid
Compiler

Compiled 156 to 28 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 27.0ms (57.4% of total)
ival-div: 11.0ms (23.4% of total)
ival-sqrt: 5.0ms (10.6% of total)
ival-pi: 1.0ms (2.1% of total)
ival-sub: 1.0ms (2.1% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series66.0ms (0.4%)

Memory
4.6MiB live, 200.6MiB allocated
Counts
20 → 288
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))>
#<alt (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))>
#<alt (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))>
#<alt (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))>
#<alt (*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) l)>
#<alt (/.f64 (PI.f64) (*.f64 F (neg.f64 F)))>
#<alt (PI.f64)>
#<alt (*.f64 F (neg.f64 F))>
#<alt (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))>
#<alt (/.f64 #s(literal -1 binary64) (*.f64 F F))>
#<alt (*.f64 F F)>
#<alt (*.f64 (PI.f64) l)>
#<alt (/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))>
#<alt (/.f64 (*.f64 (PI.f64) l) F)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))>
#<alt (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (neg.f64 F)>
#<alt (/.f64 l (*.f64 F F))>
Outputs
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))>
#<alt (* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))>
#<alt (* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))>
#<alt (* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))>
#<alt (/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))>
#<alt (/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))>
#<alt (/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))>
#<alt (/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))>
#<alt (/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))>
#<alt (/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))>
#<alt (/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))>
#<alt (/ -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))>
#<alt (/ -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))>
#<alt (/ -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))>
#<alt (/ -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))>
#<alt (* -1 (/ (pow F 2) (* l (PI))))>
#<alt (* (pow F 2) (- (* -1 (/ (pow F 2) (* l (PI)))) (/ 1 (* l (PI)))))>
#<alt (* (pow F 2) (- (* (pow F 2) (- (* -1 (/ (pow F 2) (* l (PI)))) (/ 1 (* l (PI))))) (/ 1 (* l (PI)))))>
#<alt (* (pow F 2) (- (* (pow F 2) (- (* (pow F 2) (- (* -1 (/ (pow F 2) (* l (PI)))) (/ 1 (* l (PI))))) (/ 1 (* l (PI))))) (/ 1 (* l (PI)))))>
#<alt (/ 1 (* l (PI)))>
#<alt (+ (/ 1 (* l (PI))) (/ 1 (* (pow F 2) (* l (PI)))))>
#<alt (+ (/ 1 (* l (PI))) (+ (/ 1 (* (pow F 2) (* l (PI)))) (/ 1 (* (pow F 4) (* l (PI))))))>
#<alt (+ (/ 1 (* l (PI))) (+ (/ 1 (* (pow F 2) (* l (PI)))) (+ (/ 1 (* (pow F 4) (* l (PI)))) (/ 1 (* (pow F 6) (* l (PI)))))))>
#<alt (/ 1 (* l (PI)))>
#<alt (+ (/ 1 (* l (PI))) (/ 1 (* (pow F 2) (* l (PI)))))>
#<alt (+ (/ 1 (* l (PI))) (+ (/ 1 (* (pow F 2) (* l (PI)))) (/ 1 (* (pow F 4) (* l (PI))))))>
#<alt (+ (/ 1 (* l (PI))) (+ (/ 1 (* (pow F 2) (* l (PI)))) (+ (/ 1 (* (pow F 4) (* l (PI)))) (/ 1 (* (pow F 6) (* l (PI)))))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))>
#<alt (* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))>
#<alt (* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))>
#<alt (* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (* -1 F)>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
Calls

72 calls:

TimeVariablePointExpression
53.0ms
l
@0
(* l (sqrt (* (PI) (sqrt (PI)))))
1.0ms
F
@0
(/ l (* F F))
1.0ms
l
@inf
(* (* l (sqrt (* (PI) (sqrt (PI))))) (sqrt (sqrt (PI))))
1.0ms
l
@0
(* (* l (sqrt (* (PI) (sqrt (PI))))) (sqrt (sqrt (PI))))
0.0ms
l
@-inf
(/ 1 (* (PI) (- l (/ l (* F F)))))

rewrite292.0ms (2%)

Memory
4.3MiB live, 644.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 534×lower-*.f32
5 516×lower-*.f64
3 374×lower-/.f32
3 360×lower-/.f64
3 310×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026121
048124
1163104
2982102
08577102
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 502
Calls
Call 1
Inputs
(*.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))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) l)
(/.f64 (PI.f64) (*.f64 F (neg.f64 F)))
(PI.f64)
(*.f64 F (neg.f64 F))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(/.f64 #s(literal -1 binary64) (*.f64 F F))
(*.f64 F F)
(*.f64 (PI.f64) l)
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))
(/.f64 (*.f64 (PI.f64) l) F)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(sqrt.f64 (PI.f64))
(neg.f64 F)
(/.f64 l (*.f64 F F))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 l (neg.f64 (PI.f64))))
(neg.f64 (*.f64 l (neg.f64 (PI.f64))))
(/.f64 (*.f64 l (PI.f64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(/.f64 (*.f64 l (neg.f64 (PI.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 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) l) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.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)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(*.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))))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.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 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))))
(*.f64 #s(literal -1 binary64) (*.f64 l (neg.f64 (PI.f64))))
(*.f64 (*.f64 l (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 l (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) l))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) l)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) l)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) l) #s(literal 1 binary64)))
(*.f64 (neg.f64 l) (neg.f64 (PI.f64)))
(*.f64 (*.f64 l (neg.f64 (PI.f64))) #s(literal -1 binary64))
(*.f64 (neg.f64 (PI.f64)) (neg.f64 l))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (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)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (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 (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (pow.f64 (PI.f64) #s(literal 1/8 binary64))) (pow.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 l (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l)) (sqrt.f64 (*.f64 (PI.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 (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 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.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 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (pow.f64 (PI.f64) #s(literal 3/8 binary64))) (pow.f64 (PI.f64) #s(literal 3/8 binary64)))
(*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l)
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 #s(literal 1 binary64) (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
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(*.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) l))
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(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (-.f64 l (/.f64 l (*.f64 F F)))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
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(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 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
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(*.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))))
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(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
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(*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (pow.f64 (PI.f64) #s(literal 3/8 binary64)))
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(*.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))))))
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(-.f64 #s(literal 0 binary64) F)
(-.f64 (/.f64 #s(literal 0 binary64) F) F)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64))) F)
(neg.f64 F)
(/.f64 F #s(literal -1 binary64))
(/.f64 (neg.f64 F) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 F F)) F)
(/.f64 (*.f64 F F) (neg.f64 F))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) F))
(/.f64 #s(literal 1 binary64) (/.f64 F (neg.f64 (*.f64 F F))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 F F #s(literal 0 binary64)) (neg.f64 (*.f64 F (*.f64 F F)))))
(/.f64 (*.f64 F (*.f64 F F)) (neg.f64 (fma.f64 F F #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 F (*.f64 F F))) (fma.f64 F F #s(literal 0 binary64)))
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(*.f64 (neg.f64 (*.f64 F F)) (/.f64 #s(literal 1 binary64) F))
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(*.f64 (neg.f64 (*.f64 F (*.f64 F F))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) l)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 l (*.f64 F F))))
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(*.f64 (/.f64 l F) (/.f64 #s(literal 1 binary64) F))
(*.f64 (/.f64 l F) (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 #s(literal -1 binary64) F))
(*.f64 (pow.f64 (/.f64 (*.f64 F F) l) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 F F) l) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (neg.f64 l) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))

simplify483.0ms (3.2%)

Memory
32.7MiB live, 857.7MiB allocated
Algorithm
egg-herbie
Rules
25 232×lower-fma.f64
25 232×lower-fma.f32
4 070×lower-*.f64
4 070×lower-*.f32
2 842×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0622110
11472110
24261990
312111971
435551966
578391966
081711963
Stop Event
iter limit
node limit
Counts
288 → 288
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))
(* (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)
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
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(/ -1 (pow F 2))
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(pow F 2)
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(* l (PI))
(* l (PI))
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(* -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)))
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(* -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) (- 1 (/ 1 (pow F 2))))))
(/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))
(/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))
(/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))
(/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))
(/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))
(/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))
(/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))
(/ -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(/ -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(/ -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(/ -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(* -1 (/ (pow F 2) (* l (PI))))
(* (pow F 2) (- (* -1 (/ (pow F 2) (* l (PI)))) (/ 1 (* l (PI)))))
(* (pow F 2) (- (* (pow F 2) (- (* -1 (/ (pow F 2) (* l (PI)))) (/ 1 (* l (PI))))) (/ 1 (* l (PI)))))
(* (pow F 2) (- (* (pow F 2) (- (* (pow F 2) (- (* -1 (/ (pow F 2) (* l (PI)))) (/ 1 (* l (PI))))) (/ 1 (* l (PI))))) (/ 1 (* l (PI)))))
(/ 1 (* l (PI)))
(+ (/ 1 (* l (PI))) (/ 1 (* (pow F 2) (* l (PI)))))
(+ (/ 1 (* l (PI))) (+ (/ 1 (* (pow F 2) (* l (PI)))) (/ 1 (* (pow F 4) (* l (PI))))))
(+ (/ 1 (* l (PI))) (+ (/ 1 (* (pow F 2) (* l (PI)))) (+ (/ 1 (* (pow F 4) (* l (PI)))) (/ 1 (* (pow F 6) (* l (PI)))))))
(/ 1 (* l (PI)))
(+ (/ 1 (* l (PI))) (/ 1 (* (pow F 2) (* l (PI)))))
(+ (/ 1 (* l (PI))) (+ (/ 1 (* (pow F 2) (* l (PI)))) (/ 1 (* (pow F 4) (* l (PI))))))
(+ (/ 1 (* l (PI))) (+ (/ 1 (* (pow F 2) (* l (PI)))) (+ (/ 1 (* (pow F 4) (* l (PI)))) (/ 1 (* (pow F 6) (* l (PI)))))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(* -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 F)
(* -1 F)
(* -1 F)
(* -1 F)
(* -1 F)
(* -1 F)
(* -1 F)
(* -1 F)
(* -1 F)
(* -1 F)
(* -1 F)
(* -1 F)
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
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))
(* (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)))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (PI) (pow F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(* -1 (/ (PI) (pow F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(* -1 (/ (PI) (pow F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(* -1 (/ (PI) (pow F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(* -1 (/ (PI) (pow F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(* -1 (/ (PI) (pow F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(* -1 (/ (PI) (pow F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(* -1 (/ (PI) (pow F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(* -1 (/ (PI) (pow F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(* -1 (/ (PI) (pow F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(* -1 (/ (PI) (pow F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(* -1 (/ (PI) (pow F 2)))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(* -1 (pow F 2))
(neg.f64 (*.f64 F F))
(* -1 (pow F 2))
(neg.f64 (*.f64 F F))
(* -1 (pow F 2))
(neg.f64 (*.f64 F F))
(* -1 (pow F 2))
(neg.f64 (*.f64 F F))
(* -1 (pow F 2))
(neg.f64 (*.f64 F F))
(* -1 (pow F 2))
(neg.f64 (*.f64 F F))
(* -1 (pow F 2))
(neg.f64 (*.f64 F F))
(* -1 (pow F 2))
(neg.f64 (*.f64 F F))
(* -1 (pow F 2))
(neg.f64 (*.f64 F F))
(* -1 (pow F 2))
(neg.f64 (*.f64 F F))
(* -1 (pow F 2))
(neg.f64 (*.f64 F F))
(* -1 (pow F 2))
(neg.f64 (*.f64 F F))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.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))
(/ -1 (pow F 2))
(/.f64 #s(literal -1 binary64) (*.f64 F F))
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(/ 1 (* l (* (PI) (- 1 (/ 1 (pow F 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(/ -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(/ -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(/ -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(/ -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(* -1 (/ (pow F 2) (* l (PI))))
(/.f64 (*.f64 F F) (*.f64 (PI.f64) (neg.f64 l)))
(* (pow F 2) (- (* -1 (/ (pow F 2) (* l (PI)))) (/ 1 (* l (PI)))))
(/.f64 (*.f64 F (fma.f64 F (*.f64 F F) F)) (*.f64 (PI.f64) (neg.f64 l)))
(* (pow F 2) (- (* (pow F 2) (- (* -1 (/ (pow F 2) (* l (PI)))) (/ 1 (* l (PI))))) (/ 1 (* l (PI)))))
(*.f64 (/.f64 (*.f64 F F) (*.f64 (PI.f64) (neg.f64 l))) (fma.f64 F (fma.f64 F (*.f64 F F) F) #s(literal 1 binary64)))
(* (pow F 2) (- (* (pow F 2) (- (* (pow F 2) (- (* -1 (/ (pow F 2) (* l (PI)))) (/ 1 (* l (PI))))) (/ 1 (* l (PI))))) (/ 1 (* l (PI)))))
(*.f64 (fma.f64 (*.f64 F F) (*.f64 F F) #s(literal 1 binary64)) (/.f64 (*.f64 F (fma.f64 F (*.f64 F F) F)) (*.f64 (PI.f64) (neg.f64 l))))
(/ 1 (* l (PI)))
(/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64)))
(+ (/ 1 (* l (PI))) (/ 1 (* (pow F 2) (* l (PI)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (PI.f64) (*.f64 F F)))))
(+ (/ 1 (* l (PI))) (+ (/ 1 (* (pow F 2) (* l (PI)))) (/ 1 (* (pow F 4) (* l (PI))))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (PI.f64) (*.f64 F F)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))))))
(+ (/ 1 (* l (PI))) (+ (/ 1 (* (pow F 2) (* l (PI)))) (+ (/ 1 (* (pow F 4) (* l (PI)))) (/ 1 (* (pow F 6) (* l (PI)))))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (PI.f64) (*.f64 F F)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F))))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 l (pow.f64 F #s(literal 6 binary64))))))
(/ 1 (* l (PI)))
(/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64)))
(+ (/ 1 (* l (PI))) (/ 1 (* (pow F 2) (* l (PI)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (PI.f64) (*.f64 F F)))))
(+ (/ 1 (* l (PI))) (+ (/ 1 (* (pow F 2) (* l (PI)))) (/ 1 (* (pow F 4) (* l (PI))))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (PI.f64) (*.f64 F F)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F)))))))
(+ (/ 1 (* l (PI))) (+ (/ 1 (* (pow F 2) (* l (PI)))) (+ (/ 1 (* (pow F 4) (* l (PI)))) (/ 1 (* (pow F 6) (* l (PI)))))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (PI.f64) (*.f64 F F)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l (PI.f64)) (*.f64 F (*.f64 F (*.f64 F F))))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 l (pow.f64 F #s(literal 6 binary64))))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (* l (* (PI) (- (/ 1 (pow F 2)) 1))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 F)
(* -1 F)
(neg.f64 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))
(/ l (pow F 2))
(/.f64 l (*.f64 F F))

eval349.0ms (2.3%)

Memory
15.2MiB live, 558.7MiB allocated
Compiler

Compiled 37 944 to 4 811 computations (87.3% saved)

prune305.0ms (2%)

Memory
-17.2MiB live, 562.0MiB allocated
Pruning

21 alts after pruning (13 fresh and 8 done)

PrunedKeptTotal
New2 41572 422
Fresh369
Picked235
Done055
Total2 420212 441
Accuracy
100.0%
Counts
2 441 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.8%
(fma.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)) (*.f64 (PI.f64) l))
51.7%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))) (*.f64 F F))))
74.9%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
46.8%
(pow.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
28.3%
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))
28.4%
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) (neg.f64 F))
17.0%
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
22.3%
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
66.7%
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (-.f64 l (/.f64 l (*.f64 F F)))))
66.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 l (/.f64 l (*.f64 F F)))) (PI.f64)))
66.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (-.f64 l (/.f64 l (*.f64 F F)))))
71.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
59.8%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) #s(literal -1/3 binary64) (/.f64 (PI.f64) (neg.f64 F)))) (neg.f64 F)))
48.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.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)))))
28.3%
(*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F))
22.3%
(*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) l)
22.2%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
66.8%
(*.f64 (-.f64 l (/.f64 l (*.f64 F F))) (PI.f64))
28.4%
(*.f64 (PI.f64) (/.f64 (/.f64 l (neg.f64 F)) F))
71.2%
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
71.7%
(*.f64 l (PI.f64))
Compiler

Compiled 897 to 344 computations (61.6% saved)

regimes77.0ms (0.5%)

Memory
3.5MiB live, 119.9MiB allocated
Counts
45 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) l)
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (-.f64 l (/.f64 l (*.f64 F F))) (PI.f64))
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(*.f64 (PI.f64) (/.f64 (/.f64 l (neg.f64 F)) F))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) (neg.f64 F))
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))
(fma.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)) (*.f64 (PI.f64) l))
(*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F))
(/.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 F)) (neg.f64 l)) (neg.f64 F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
(fma.f64 (/.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) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F))
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (-.f64 l (/.f64 l (*.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (-.f64 l (/.f64 l (*.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 l (/.f64 l (*.f64 F F)))) (PI.f64)))
(*.f64 l (*.f64 (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))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (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)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) #s(literal -1/3 binary64) (/.f64 (PI.f64) (neg.f64 F)))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.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)))))
(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 (/.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) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
(-.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 (*.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(-.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))))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
(*.f64 l (PI.f64))
Calls

6 calls:

14.0ms
l
13.0ms
(*.f64 (PI.f64) l)
13.0ms
(*.f64 F F)
12.0ms
F
11.0ms
(/.f64 #s(literal 1 binary64) (*.f64 F F))
Results
AccuracySegmentsBranch
81.0%1F
99.6%2l
90.3%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
99.6%2(*.f64 (PI.f64) l)
81.0%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
81.0%1(*.f64 F F)
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes25.0ms (0.2%)

Memory
2.8MiB live, 39.7MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) l)
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (-.f64 l (/.f64 l (*.f64 F F))) (PI.f64))
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(*.f64 (PI.f64) (/.f64 (/.f64 l (neg.f64 F)) F))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) (neg.f64 F))
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))
(fma.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)) (*.f64 (PI.f64) l))
(*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F))
(/.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 F)) (neg.f64 l)) (neg.f64 F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
(fma.f64 (/.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) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F))
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (-.f64 l (/.f64 l (*.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (-.f64 l (/.f64 l (*.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 l (/.f64 l (*.f64 F F)))) (PI.f64)))
(*.f64 l (*.f64 (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))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (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)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) #s(literal -1/3 binary64) (/.f64 (PI.f64) (neg.f64 F)))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.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)))))
(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 (/.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))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(*.f64 l (PI.f64))
Calls

2 calls:

13.0ms
(*.f64 (PI.f64) l)
11.0ms
l
Results
AccuracySegmentsBranch
99.6%2l
99.6%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes25.0ms (0.2%)

Memory
0.4MiB live, 43.4MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) l)
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (-.f64 l (/.f64 l (*.f64 F F))) (PI.f64))
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(*.f64 (PI.f64) (/.f64 (/.f64 l (neg.f64 F)) F))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) (neg.f64 F))
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))
(fma.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)) (*.f64 (PI.f64) l))
(*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F))
(/.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 F)) (neg.f64 l)) (neg.f64 F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
(fma.f64 (/.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) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F))
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (-.f64 l (/.f64 l (*.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (-.f64 l (/.f64 l (*.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 l (/.f64 l (*.f64 F F)))) (PI.f64)))
(*.f64 l (*.f64 (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))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (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)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) #s(literal -1/3 binary64) (/.f64 (PI.f64) (neg.f64 F)))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.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)))))
(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
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) #s(literal -1/3 binary64) (/.f64 (PI.f64) (neg.f64 F)))) (neg.f64 F)))
(*.f64 l (PI.f64))
Calls

2 calls:

14.0ms
(*.f64 (PI.f64) l)
10.0ms
l
Results
AccuracySegmentsBranch
99.0%2l
99.0%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes20.0ms (0.1%)

Memory
0.4MiB live, 39.2MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) l)
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (-.f64 l (/.f64 l (*.f64 F F))) (PI.f64))
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(*.f64 (PI.f64) (/.f64 (/.f64 l (neg.f64 F)) F))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) (neg.f64 F))
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))
(fma.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)) (*.f64 (PI.f64) l))
(*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F))
(/.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 F)) (neg.f64 l)) (neg.f64 F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
(fma.f64 (/.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) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F))
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (-.f64 l (/.f64 l (*.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (-.f64 l (/.f64 l (*.f64 F F)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 l (/.f64 l (*.f64 F F)))) (PI.f64)))
(*.f64 l (*.f64 (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))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (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)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F))
(*.f64 l (PI.f64))
Calls

2 calls:

10.0ms
(*.f64 (PI.f64) l)
9.0ms
l
Results
AccuracySegmentsBranch
98.9%2l
98.9%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes16.0ms (0.1%)

Memory
-8.8MiB live, 30.0MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) l)
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (-.f64 l (/.f64 l (*.f64 F F))) (PI.f64))
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(*.f64 (PI.f64) (/.f64 (/.f64 l (neg.f64 F)) F))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) (neg.f64 F))
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))
(fma.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)) (*.f64 (PI.f64) l))
(*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F))
(/.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 F)) (neg.f64 l)) (neg.f64 F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
(fma.f64 (/.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) (*.f64 l (PI.f64))))
Outputs
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
Calls

2 calls:

8.0ms
(*.f64 (PI.f64) l)
7.0ms
l
Results
AccuracySegmentsBranch
98.9%2l
98.9%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes14.0ms (0.1%)

Memory
-11.9MiB live, 26.8MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) l)
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (-.f64 l (/.f64 l (*.f64 F F))) (PI.f64))
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(*.f64 (PI.f64) (/.f64 (/.f64 l (neg.f64 F)) F))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) (neg.f64 F))
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))
(fma.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)) (*.f64 (PI.f64) l))
(*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F))
(/.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 F)) (neg.f64 l)) (neg.f64 F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(*.f64 l (PI.f64))
Calls

2 calls:

7.0ms
l
6.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
98.9%2l
98.9%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0.1%)

Memory
23.2MiB live, 23.2MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) l)
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (-.f64 l (/.f64 l (*.f64 F F))) (PI.f64))
(/.f64 (*.f64 l (PI.f64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(*.f64 (PI.f64) (/.f64 (/.f64 l (neg.f64 F)) F))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (*.f64 (/.f64 F l) F))
(/.f64 (*.f64 (/.f64 (PI.f64) F) l) (neg.f64 F))
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))
(fma.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)) (*.f64 (PI.f64) l))
(*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F))
(/.f64 (*.f64 (/.f64 (PI.f64) (neg.f64 F)) (neg.f64 l)) (neg.f64 F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
Outputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (PI.f64))
Calls

2 calls:

6.0ms
(*.f64 (PI.f64) l)
6.0ms
l
Results
AccuracySegmentsBranch
92.9%2l
92.9%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.1%)

Memory
-30.7MiB live, 12.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) l)
(/.f64 (*.f64 l (PI.f64)) (*.f64 F (neg.f64 F)))
Outputs
(*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) l)
(*.f64 l (PI.f64))
Calls

3 calls:

7.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
2.0ms
(*.f64 (PI.f64) l)
2.0ms
l
Results
AccuracySegmentsBranch
82.8%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
76.5%3l
76.5%3(*.f64 (PI.f64) l)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

1.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
1.0ms
F
1.0ms
(*.f64 (PI.f64) l)
1.0ms
l
1.0ms
(/.f64 #s(literal 1 binary64) (*.f64 F F))
Results
AccuracySegmentsBranch
71.7%1l
71.7%1(*.f64 (PI.f64) l)
71.7%1F
71.7%1(*.f64 F F)
71.7%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
71.7%1(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1723761840.8175993
744138227856.7251
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1723761840.8175993
744138227856.7251
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1723761840.8175993
744138227856.7251
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1723761840.8175993
744138227856.7251
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1723761840.8175993
744138227856.7251
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1723761840.8175993
744138227856.7251
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1723761840.8175993
744138227856.7251
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
-1.9954559254453192e-289
2.757505847190214e-302
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify42.0ms (0.3%)

Memory
-10.4MiB live, 28.4MiB allocated
Algorithm
egg-herbie
Rules
364×distribute-lft-neg-in_binary64
264×unsub-neg_binary64
214×neg-mul-1_binary64
180×neg-sub0_binary64
138×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058191
1104189
2169189
3259189
4402189
5563189
6759189
7924189
81039189
91105189
101163189
111191189
121197189
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) #s(literal -1/3 binary64) (/.f64 (PI.f64) (neg.f64 F)))) (neg.f64 F))) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.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 -4388899255034951/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 binary64)) (*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) l) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
Outputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) F)) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) #s(literal -1/3 binary64) (/.f64 (PI.f64) (neg.f64 F)))) (neg.f64 F))) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F)) #s(literal -1/3 binary64) (/.f64 (PI.f64) (neg.f64 F)))) F)) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -1 binary64) F)) F)) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2000000000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.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 -4388899255034951/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 binary64)) (*.f64 (/.f64 (PI.f64) (*.f64 F (neg.f64 F))) 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 -4388899255034951/43888992550349509466047490009497674160595141087458656560896015907649579054077383577321405596290902348906277802702976893959665470901957183225792829745965362396915989605680050116284721582335472197132100330098878361532751631431265351922342068003131649698083620772604076718737120590449149488485194416412164096 binary64)) (*.f64 l (/.f64 (neg.f64 (PI.f64)) (*.f64 F F))) (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

soundness1.1s (7.4%)

Memory
42.1MiB live, 769.9MiB allocated
Rules
17 378×lower-fma.f64
17 378×lower-fma.f32
13 808×lower-fma.f32
13 804×lower-fma.f64
12 242×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01491418
14321331
214501227
369161158
085051124
01037
01737
17031
246731
3666931
0819131
026115
05197
119685
2154784
0851484
024130
044138
1187109
21524109
08321109
02115041
16444783
221364425
082214333
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 407 to 202 computations (50.4% saved)

preprocess188.0ms (1.3%)

Memory
-5.2MiB live, 229.3MiB allocated
Remove

(abs F)

Compiler

Compiled 714 to 286 computations (59.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...