VandenBroeck and Keller, Equation (6)

Time bar (total: 15.6s)

analyze201.0ms (1.3%)

Memory
31.0MiB live, 267.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
21.9%21.9%78%0.1%0%0%0%7
23.4%23.4%76.5%0.1%0%0%0%8
35.2%35.1%64.8%0.1%0%0%0%9
36.3%36.3%63.6%0.1%0%0%0%10
42.4%42.3%57.6%0.1%0%0%0%11
43.1%43%56.9%0.1%0%0%0%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample4.8s (30.9%)

Memory
71.1MiB live, 4 612.3MiB allocated
Samples
4.0s3 756×1valid
301.0ms4 446×0valid
127.0ms54×2valid
1.0ms3×4exit
Precisions
Click to see histograms. Total time spent on operations: 4.1s
ival-tan: 3.2s (78.9% of total)
ival-mult: 582.0ms (14.3% of total)
ival-div: 86.0ms (2.1% of total)
ival-sub: 66.0ms (1.6% of total)
ival-pi: 57.0ms (1.4% of total)
adjust: 53.0ms (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

preprocess74.0ms (0.5%)

Memory
16.9MiB live, 93.7MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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)

explain475.0ms (3%)

Memory
10.1MiB live, 549.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1270-0-(tan.f64 (*.f64 (PI.f64) l))
490-0-(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
10-0-(/.f64 #s(literal 1 binary64) (*.f64 F F))
00-0-(*.f64 (PI.f64) l)
00-0-#s(literal 1 binary64)
00-0-(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
00-0-(*.f64 F F)
00-0-l
00-0-F
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
tan.f64(tan.f64 (*.f64 (PI.f64) l))sensitivity1260
*.f64(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))n*o100
tan.f64(tan.f64 (*.f64 (PI.f64) l))oflow-rescue10
↳(*.f64 (PI.f64) l)overflow1
Confusion
Predicted +Predicted -
+620
-75119
Precision
0.45255474452554745
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6200
-750119
Precision?
0.45255474452554745
Recall?
1.0
Freqs
test
numberfreq
0119
1137
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
163.0ms94×2valid
143.0ms144×1valid
39.0ms10×3valid
29.0ms264×0valid
Compiler

Compiled 122 to 44 computations (63.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 338.0ms
ival-tan: 286.0ms (84.6% of total)
ival-div: 20.0ms (5.9% of total)
ival-mult: 18.0ms (5.3% of total)
adjust: 5.0ms (1.5% of total)
ival-pi: 4.0ms (1.2% of total)
ival-sub: 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
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.0%
(-.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)

simplify35.0ms (0.2%)

Memory
28.1MiB live, 58.5MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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))

localize230.0ms (1.5%)

Memory
-25.0MiB live, 315.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 F F))
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy81.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓accuracy52.6%
(tan.f64 (*.f64 (PI.f64) l))
Samples
108.0ms47×2valid
73.0ms72×1valid
22.0ms5×3valid
10.0ms132×0valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 199.0ms
ival-tan: 172.0ms (86.4% of total)
ival-pi: 12.0ms (6% of total)
ival-mult: 8.0ms (4% of total)
ival-div: 3.0ms (1.5% of total)
adjust: 2.0ms (1% of total)
ival-sub: 2.0ms (1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB 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
3.0ms
F
@0
(* (/ 1 (* F F)) (tan (* (PI) l)))
2.0ms
l
@inf
(* (/ 1 (* F F)) (tan (* (PI) l)))
2.0ms
l
@0
(* (/ 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))))

rewrite313.0ms (2%)

Memory
4.3MiB live, 503.0MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
1×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))

simplify787.0ms (5%)

Memory
5.4MiB live, 980.3MiB allocated
Algorithm
1×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
1×iter limit
1×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))

eval87.0ms (0.6%)

Memory
1.4MiB live, 156.4MiB allocated
Compiler

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

prune100.0ms (0.6%)

Memory
-23.1MiB live, 133.7MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New46115476
Fresh000
Picked101
Done000
Total46215477
Accuracy
99.7%
Counts
477 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.6%
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
76.9%
(fma.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
77.0%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
76.9%
(/.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)))))
76.7%
(-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
▶80.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
80.7%
(-.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)))
69.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
77.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))))
▶77.0%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l))))
▶69.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
76.9%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))))
▶77.0%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
69.5%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
▶75.4%
(*.f64 l (PI.f64))
Compiler

Compiled 512 to 318 computations (37.9% saved)

simplify329.0ms (2.1%)

Memory
-12.8MiB live, 316.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)))
✓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
(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
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
✓cost-diff384
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
Rules
6 274×lower-fma.f64
6 274×lower-fma.f32
1 958×lower-*.f32
1 940×lower-*.f64
1 662×lower--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027225
051221
193213
2210211
3513211
4914211
51333211
61633211
72123211
82598211
93505211
104480211
115346211
126695211
137761211
08022211
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan.f64 (*.f64 (PI.f64) l))
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))
(-.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))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
(tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 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 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan.f64 (*.f64 (PI.f64) l))
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 (PI.f64) (-.f64 l (/.f64 l (*.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)
(-.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))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))) (*.f64 F F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)))
(/.f64 (tan.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))) (*.f64 F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
(tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
(tan.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))

localize469.0ms (3%)

Memory
11.0MiB live, 565.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy98.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy81.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)))
✓accuracy52.6%
(tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy81.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l)))
✓accuracy52.6%
(tan.f64 (*.f64 (PI.f64) l))
✓accuracy99.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy99.5%
(*.f64 l (PI.f64))
✓accuracy90.8%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.5%
(*.f64 l (PI.f64))
✓accuracy99.9%
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
✓accuracy99.8%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy52.6%
(tan.f64 (*.f64 (PI.f64) l))
Samples
166.0ms47×2valid
154.0ms72×1valid
35.0ms5×3valid
27.0ms132×0valid
Compiler

Compiled 227 to 29 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 350.0ms
ival-tan: 275.0ms (78.5% of total)
ival-mult: 24.0ms (6.9% of total)
ival-sqrt: 22.0ms (6.3% of total)
ival-div: 13.0ms (3.7% of total)
ival-sub: 7.0ms (2% of total)
adjust: 6.0ms (1.7% of total)
ival-pi: 2.0ms (0.6% 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
-4.6MiB live, 31.9MiB allocated
Counts
17 → 276
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)>
#<alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))>
#<alt (*.f64 (PI.f64) l)>
#<alt (PI.f64)>
#<alt (*.f64 l (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 (/.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 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)))>
#<alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))>
#<alt (tan.f64 (*.f64 (PI.f64) l))>
#<alt (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)>
#<alt (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))>
Outputs
#<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 (* 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 (/ 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 (/ (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 (/ (* l (PI)) F)>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* 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))))>
Calls

69 calls:

TimeVariablePointExpression
2.0ms
l
@-inf
(- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))
1.0ms
l
@0
(/ (tan (* (PI) l)) F)
1.0ms
l
@inf
(- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))
0.0ms
l
@0
(- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))
0.0ms
F
@inf
(/ (tan (* (PI) l)) F)

rewrite400.0ms (2.6%)

Memory
-0.5MiB live, 529.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 070×lower-fma.f64
8 070×lower-fma.f32
4 626×lower-*.f32
4 612×lower-*.f64
3 660×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027151
051111
1193103
21506103
08986103
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 966
Calls
Call 1
Inputs
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(*.f64 (PI.f64) l)
(PI.f64)
(*.f64 l (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)))
(/.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))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
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)) (*.f64 F (neg.f64 F))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 F (neg.f64 F))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) #s(literal 1 binary64)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 #s(literal 1 binary64) (/.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)) (*.f64 F F)) (sin.f64 (*.f64 (PI.f64) l))))
(/.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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(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 (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)))))

simplify608.0ms (3.9%)

Memory
28.9MiB live, 1 297.3MiB allocated
Algorithm
1×egg-herbie
Rules
20 130×lower-fma.f64
20 130×lower-fma.f32
7 246×lower-*.f64
7 246×lower-*.f32
4 278×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02004682
15974444
218864016
080793917
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* 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))
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(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (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))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
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(/ 1 (pow F 2))
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(/ 1 (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)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* l (PI)) (pow F 2))
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(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (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))))
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(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* 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)))
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(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (* l (PI)) (pow 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) (* (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))))
(/ (* l (PI)) F)
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(* l (PI))
(* l (+ (PI) (* (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))))
Outputs
(/ (* 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))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.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)))))
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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)))))
(/ (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 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F)) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (PI.f64)) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.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) (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 (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 #s(literal -1/2 binary64) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F F))) (fma.f64 (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 F F)) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64)))) (-.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) (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))
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(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
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(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 l (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 (*.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 l (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 (*.f64 F F)))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 l (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 (*.f64 F F)))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 l (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 (*.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 l (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 (*.f64 F F)))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 l (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 (*.f64 F F)))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 l (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 (*.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) (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) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) (*.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) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))))))) (PI.f64)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(*.f64 l (fma.f64 l (/.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))))) F) (/.f64 (PI.f64) F)))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(*.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) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) F) (*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) #s(literal 1/3 binary64)))) (/.f64 (PI.f64) F)))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (-.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) F) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #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) F)) (fma.f64 (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F) (*.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F))))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #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)))) F))) (*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) #s(literal 1/3 binary64)))) (/.f64 (PI.f64) F)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 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 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) (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) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) (*.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) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal 1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))))))) (PI.f64)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))

eval298.0ms (1.9%)

Memory
-10.2MiB live, 575.5MiB allocated
Compiler

Compiled 45 655 to 3 970 computations (91.3% saved)

prune175.0ms (1.1%)

Memory
37.0MiB live, 394.9MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1 935141 949
Fresh9110
Picked325
Done000
Total1 947171 964
Accuracy
99.8%
Counts
1 964 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.1%
(fma.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
73.1%
(fma.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
77.0%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
▶21.0%
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
69.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
▶73.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
✓80.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
▶77.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))))
▶69.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (PI.f64))))
69.5%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
69.5%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
69.4%
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
75.4%
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
▶75.3%
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
69.5%
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
75.0%
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
✓75.4%
(*.f64 l (PI.f64))
Compiler

Compiled 467 to 302 computations (35.3% saved)

simplify524.0ms (3.3%)

Memory
-55.3MiB live, 216.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (PI.f64))
✓cost-diff0
(sqrt.f64 (sqrt.f64 (PI.f64)))
✓cost-diff0
(*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))
✓cost-diff0
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
✓cost-diff0
(*.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
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff320
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
✓cost-diff384
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 l (PI.f64))
✓cost-diff0
(neg.f64 (*.f64 l (PI.f64)))
✓cost-diff0
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))))
✓cost-diff256
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l)))))
Rules
5 456×lower-fma.f64
5 456×lower-fma.f32
2 032×lower-*.f32
2 020×lower--.f32
2 016×lower--.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030193
057189
1115188
2282181
3875181
42225181
52980181
63421181
73536181
83628181
93717181
103777181
114244181
124664181
135078181
145484181
156397181
167171181
177484181
187600181
197664181
207672181
08220181
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l)))))
(neg.f64 (sin.f64 (*.f64 (PI.f64) l)))
(sin.f64 (*.f64 (PI.f64) l))
(*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))
F
(*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l)))
(neg.f64 F)
(cos.f64 (*.f64 (PI.f64) l))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(neg.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
l
(PI.f64)
(*.f64 F F)
F
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)
(/.f64 (*.f64 (PI.f64) l) F)
F
(-.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 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))
l
(sqrt.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(neg.f64 (sin.f64 (*.f64 (PI.f64) l)))
(sin.f64 (*.f64 (PI.f64) (neg.f64 l)))
(sin.f64 (*.f64 (PI.f64) l))
(*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))
F
(*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l)))
(neg.f64 F)
(cos.f64 (*.f64 (PI.f64) l))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F (neg.f64 F))))
(neg.f64 (*.f64 l (PI.f64)))
(*.f64 (PI.f64) (neg.f64 l))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
l
(PI.f64)
(*.f64 F F)
F
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(/.f64 (*.f64 (PI.f64) l) F)
F
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (PI.f64))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (PI.f64)))
(*.f64 (PI.f64) (/.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 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 l (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))
l
(sqrt.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))

localize450.0ms (2.9%)

Memory
28.0MiB live, 255.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(PI.f64)
✓accuracy99.7%
(*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))
✓accuracy99.6%
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy99.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (PI.f64))))
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy99.5%
(*.f64 l (PI.f64))
✓accuracy90.8%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (PI.f64)))
✓accuracy99.8%
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)
✓accuracy99.7%
(/.f64 (*.f64 (PI.f64) l) F)
✓accuracy99.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy100.0%
(neg.f64 (*.f64 l (PI.f64)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.5%
(*.f64 l (PI.f64))
✓accuracy90.8%
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy81.3%
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l)))))
✓accuracy56.7%
(cos.f64 (*.f64 (PI.f64) l))
✓accuracy52.7%
(sin.f64 (*.f64 (PI.f64) l))
Samples
131.0ms73×1valid
95.0ms47×2valid
66.0ms4×3valid
29.0ms132×0valid
Compiler

Compiled 195 to 32 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 293.0ms
ival-sin: 169.0ms (57.7% of total)
ival-neg: 58.0ms (19.8% of total)
ival-mult: 20.0ms (6.8% of total)
ival-div: 13.0ms (4.4% of total)
ival-cos: 10.0ms (3.4% of total)
ival-sqrt: 8.0ms (2.7% of total)
adjust: 6.0ms (2% of total)
ival-sub: 5.0ms (1.7% of total)
ival-pi: 2.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series148.0ms (0.9%)

Memory
-19.7MiB live, 56.5MiB allocated
Counts
19 → 288
Calls
Call 1
Inputs
#<alt (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l)))))>
#<alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))))>
#<alt (*.f64 (PI.f64) l)>
#<alt (PI.f64)>
#<alt (/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))>
#<alt (neg.f64 (*.f64 l (PI.f64)))>
#<alt (*.f64 l (PI.f64))>
#<alt (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)>
#<alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))>
#<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 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))>
#<alt (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))>
#<alt (sqrt.f64 (sqrt.f64 (PI.f64)))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (sin.f64 (*.f64 (PI.f64) l))>
#<alt (cos.f64 (*.f64 (PI.f64) l))>
#<alt (/.f64 (*.f64 (PI.f64) l) F)>
Outputs
#<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) (pow F 2))) (* -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) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 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) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -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 (* 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) (pow F 2))) (* -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) (pow F 2))) (* -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) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 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) (pow F 2))) (* -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 (* -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 (* l (PI)))>
#<alt (* -1 (* l (PI)))>
#<alt (* -1 (* l (PI)))>
#<alt (* -1 (* l (PI)))>
#<alt (* -1 (* l (PI)))>
#<alt (* -1 (* l (PI)))>
#<alt (* -1 (* l (PI)))>
#<alt (* -1 (* l (PI)))>
#<alt (* -1 (* l (PI)))>
#<alt (* -1 (* l (PI)))>
#<alt (* -1 (* l (PI)))>
#<alt (* -1 (* 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 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) (/ (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 (/ 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 (* (pow (* 1 (PI)) 1/4) l)>
#<alt (* (pow (* 1 (PI)) 1/4) l)>
#<alt (* (pow (* 1 (PI)) 1/4) l)>
#<alt (* (pow (* 1 (PI)) 1/4) l)>
#<alt (* (pow (* 1 (PI)) 1/4) l)>
#<alt (* (pow (* 1 (PI)) 1/4) l)>
#<alt (* (pow (* 1 (PI)) 1/4) l)>
#<alt (* (pow (* 1 (PI)) 1/4) l)>
#<alt (* (pow (* 1 (PI)) 1/4) l)>
#<alt (* (pow (* 1 (PI)) 1/4) l)>
#<alt (* (pow (* 1 (PI)) 1/4) l)>
#<alt (* (pow (* 1 (PI)) 1/4) l)>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1/6 (* (pow l 2) (pow (PI) 3)))))>
#<alt (* l (+ (PI) (* (pow l 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow l 2) (pow (PI) 5)))))))>
#<alt (* l (+ (PI) (* (pow l 2) (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (+ (* -1/5040 (* (pow l 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))>
#<alt (sin (* l (PI)))>
#<alt (sin (* l (PI)))>
#<alt (sin (* l (PI)))>
#<alt (sin (* l (PI)))>
#<alt (sin (* l (PI)))>
#<alt (sin (* l (PI)))>
#<alt (sin (* l (PI)))>
#<alt (sin (* l (PI)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* (pow l 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/2 (pow (PI) 2)) (* 1/24 (* (pow l 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/2 (pow (PI) 2)) (* (pow l 2) (+ (* -1/720 (* (pow l 2) (pow (PI) 6))) (* 1/24 (pow (PI) 4)))))))>
#<alt (cos (* l (PI)))>
#<alt (cos (* l (PI)))>
#<alt (cos (* l (PI)))>
#<alt (cos (* l (PI)))>
#<alt (cos (* l (PI)))>
#<alt (cos (* l (PI)))>
#<alt (cos (* l (PI)))>
#<alt (cos (* l (PI)))>
#<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)>
Calls

72 calls:

TimeVariablePointExpression
106.0ms
l
@0
(* l (sqrt (sqrt (PI))))
1.0ms
l
@0
(/ (neg (sin (* (PI) l))) (* F (* (neg F) (cos (* (PI) l)))))
1.0ms
l
@-inf
(/ (neg (sin (* (PI) l))) (* F (* (neg F) (cos (* (PI) l)))))
1.0ms
l
@inf
(/ (neg (sin (* (PI) l))) (* F (* (neg F) (cos (* (PI) l)))))
1.0ms
l
@0
(- (* (PI) l) (/ (neg (sin (* (PI) l))) (* F (* (neg F) (cos (* (PI) l))))))

rewrite622.0ms (4%)

Memory
34.9MiB live, 469.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 802×lower-fma.f64
4 802×lower-fma.f32
4 474×lower-*.f32
4 456×lower-*.f64
4 192×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030132
057120
1203110
21473100
08287100
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 757
Calls
Call 1
Inputs
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))))
(*.f64 (PI.f64) l)
(PI.f64)
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(neg.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(/.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 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(sin.f64 (*.f64 (PI.f64) l))
(cos.f64 (*.f64 (PI.f64) l))
(/.f64 (*.f64 (PI.f64) l) F)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(+.f64 (/.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (neg.f64 (*.f64 F (neg.f64 F))) (cos.f64 (*.f64 (PI.f64) l))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) F) (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 (*.f64 F (neg.f64 F))) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 F (neg.f64 F))) (cos.f64 (*.f64 (PI.f64) l))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (neg.f64 (*.f64 (neg.f64 (*.f64 F (neg.f64 F))) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F (neg.f64 F))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 F))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 F) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F))) (neg.f64 (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l)))) F)
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F (neg.f64 F)))) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (cos.f64 (*.f64 (PI.f64) l))) (neg.f64 F))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (sin.f64 (*.f64 (PI.f64) l)))) (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (neg.f64 (*.f64 F (neg.f64 F))) (cos.f64 (*.f64 (PI.f64) l))))) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (sin.f64 (*.f64 (PI.f64) l)))) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (neg.f64 (*.f64 (neg.f64 (*.f64 F (neg.f64 F))) (cos.f64 (*.f64 (PI.f64) l))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 F (neg.f64 F))) (cos.f64 (*.f64 (PI.f64) l)))) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (neg.f64 (sin.f64 (*.f64 (PI.f64) l))))) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (*.f64 (neg.f64 (*.f64 F (neg.f64 F))) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (neg.f64 (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) #s(literal -1 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (*.f64 (*.f64 F F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (neg.f64 (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l)))) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F))))) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l)))))
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(*.f64 (*.f64 (neg.f64 l) #s(literal -1 binary64)) (/.f64 (PI.f64) F))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (PI.f64)) l)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) l) (PI.f64))
(*.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) F))

simplify457.0ms (2.9%)

Memory
-10.1MiB live, 893.5MiB allocated
Algorithm
1×egg-herbie
Rules
14 982×lower-fma.f64
14 982×lower-fma.f32
6 346×lower-*.f64
6 346×lower-*.f32
2 490×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01662628
15032553
216952495
355762464
082192430
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(/ (* 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) (pow F 2))) (* -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) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 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) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* 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) (pow F 2))) (* -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) (pow F 2))) (* -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) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 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) (pow F 2))) (* -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))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (* l (PI)))
(* -1 (* l (PI)))
(* -1 (* l (PI)))
(* -1 (* l (PI)))
(* -1 (* l (PI)))
(* -1 (* l (PI)))
(* -1 (* l (PI)))
(* -1 (* l (PI)))
(* -1 (* l (PI)))
(* -1 (* l (PI)))
(* -1 (* l (PI)))
(* -1 (* 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 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) (/ (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)))
(/ 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))
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* (pow (* 1 (PI)) 1/4) l)
(* l (PI))
(* l (+ (PI) (* -1/6 (* (pow l 2) (pow (PI) 3)))))
(* l (+ (PI) (* (pow l 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow l 2) (pow (PI) 5)))))))
(* l (+ (PI) (* (pow l 2) (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (+ (* -1/5040 (* (pow l 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(sin (* l (PI)))
(sin (* l (PI)))
(sin (* l (PI)))
(sin (* l (PI)))
(sin (* l (PI)))
(sin (* l (PI)))
(sin (* l (PI)))
(sin (* l (PI)))
1
(+ 1 (* -1/2 (* (pow l 2) (pow (PI) 2))))
(+ 1 (* (pow l 2) (+ (* -1/2 (pow (PI) 2)) (* 1/24 (* (pow l 2) (pow (PI) 4))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (pow (PI) 2)) (* (pow l 2) (+ (* -1/720 (* (pow l 2) (pow (PI) 6))) (* 1/24 (pow (PI) 4)))))))
(cos (* l (PI)))
(cos (* l (PI)))
(cos (* l (PI)))
(cos (* l (PI)))
(cos (* l (PI)))
(cos (* l (PI)))
(cos (* l (PI)))
(cos (* l (PI)))
(/ (* 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)
Outputs
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.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))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -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 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal -1/30 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 F F))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (*.f64 F F)))) (/.f64 (PI.f64) (*.f64 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) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 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) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -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 (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal -1/30 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 F F))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (*.f64 F F))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal -1/30 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (*.f64 F F)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (*.f64 F F)))) (/.f64 (PI.f64) (*.f64 F F))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
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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))
(/ 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))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 l (-.f64 (PI.f64) (/.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)) (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))
(* (pow (* 1 (PI)) 1/4) l)
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (pow (* 1 (PI)) 1/4) l)
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (pow (* 1 (PI)) 1/4) l)
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (pow (* 1 (PI)) 1/4) l)
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (pow (* 1 (PI)) 1/4) l)
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (pow (* 1 (PI)) 1/4) l)
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (pow (* 1 (PI)) 1/4) l)
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (pow (* 1 (PI)) 1/4) l)
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (pow (* 1 (PI)) 1/4) l)
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (pow (* 1 (PI)) 1/4) l)
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (pow (* 1 (PI)) 1/4) l)
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (pow (* 1 (PI)) 1/4) l)
(*.f64 l (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1/6 (* (pow l 2) (pow (PI) 3)))))
(*.f64 l (fma.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal -1/6 binary64))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow l 2) (pow (PI) 5)))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (*.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal -1/6 binary64)))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (+ (* -1/5040 (* (pow l 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 #s(literal -1/6 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (*.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (*.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))))) (PI.f64)))
(sin (* l (PI)))
(sin.f64 (*.f64 l (PI.f64)))
(sin (* l (PI)))
(sin.f64 (*.f64 l (PI.f64)))
(sin (* l (PI)))
(sin.f64 (*.f64 l (PI.f64)))
(sin (* l (PI)))
(sin.f64 (*.f64 l (PI.f64)))
(sin (* l (PI)))
(sin.f64 (*.f64 l (PI.f64)))
(sin (* l (PI)))
(sin.f64 (*.f64 l (PI.f64)))
(sin (* l (PI)))
(sin.f64 (*.f64 l (PI.f64)))
(sin (* l (PI)))
(sin.f64 (*.f64 l (PI.f64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* (pow l 2) (pow (PI) 2))))
(fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* -1/2 (pow (PI) 2)) (* 1/24 (* (pow l 2) (pow (PI) 4))))))
(fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* -1/2 (pow (PI) 2)) (* (pow l 2) (+ (* -1/720 (* (pow l 2) (pow (PI) 6))) (* 1/24 (pow (PI) 4)))))))
(fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (*.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(cos (* l (PI)))
(cos.f64 (*.f64 l (PI.f64)))
(cos (* l (PI)))
(cos.f64 (*.f64 l (PI.f64)))
(cos (* l (PI)))
(cos.f64 (*.f64 l (PI.f64)))
(cos (* l (PI)))
(cos.f64 (*.f64 l (PI.f64)))
(cos (* l (PI)))
(cos.f64 (*.f64 l (PI.f64)))
(cos (* l (PI)))
(cos.f64 (*.f64 l (PI.f64)))
(cos (* l (PI)))
(cos.f64 (*.f64 l (PI.f64)))
(cos (* l (PI)))
(cos.f64 (*.f64 l (PI.f64)))
(/ (* 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)

eval226.0ms (1.4%)

Memory
21.2MiB live, 607.2MiB allocated
Compiler

Compiled 34 365 to 3 599 computations (89.5% saved)

prune449.0ms (2.9%)

Memory
-74.7MiB live, 465.6MiB allocated
Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New1 728111 739
Fresh7310
Picked145
Done022
Total1 736201 756
Accuracy
99.8%
Counts
1 756 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.0%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
24.6%
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))
▶24.6%
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (*.f64 (PI.f64) l)))
21.0%
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64))))) (*.f64 F F))
21.0%
(/.f64 (neg.f64 (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (*.f64 F F))
✓21.0%
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
69.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))))
✓80.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
76.8%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))))
✓77.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))))
✓69.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (PI.f64))))
24.6%
(*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F))
▶24.6%
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
▶21.0%
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
21.0%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
▶75.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64))))
✓75.3%
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
69.5%
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
75.0%
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
✓75.4%
(*.f64 l (PI.f64))
Compiler

Compiled 458 to 306 computations (33.2% saved)

simplify211.0ms (1.4%)

Memory
0.1MiB live, 114.6MiB allocated
Algorithm
1×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)))) l)
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64))))
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff0
(/.f64 F (*.f64 (PI.f64) l))
✓cost-diff0
(/.f64 #s(literal -1 binary64) F)
✓cost-diff960
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (*.f64 (PI.f64) l)))
✓cost-diff0
(/.f64 (PI.f64) F)
✓cost-diff0
(neg.f64 l)
✓cost-diff0
(/.f64 (neg.f64 l) F)
✓cost-diff384
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
✓cost-diff0
(neg.f64 (PI.f64))
✓cost-diff0
(*.f64 F F)
✓cost-diff0
(/.f64 l (*.f64 F F))
✓cost-diff0
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
✓cost-diff0
(tan.f64 (*.f64 (PI.f64) l))
✓cost-diff0
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
Rules
1 280×lower-fma.f32
1 278×lower-fma.f64
1 200×lower-*.f32
1 184×lower-*.f64
912×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027136
051135
188135
2177135
3323135
4441135
5550135
6776135
7983135
81331135
92984135
104387135
114834135
124967135
135023135
145037135
155150135
165218135
175380135
185532135
195548135
205548135
215548135
225548135
05548135
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(PI.f64)
l
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(*.f64 F (neg.f64 F))
F
(neg.f64 F)
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 l (*.f64 F F))
l
(*.f64 F F)
F
(neg.f64 (PI.f64))
(PI.f64)
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (neg.f64 l) F)
(neg.f64 l)
l
F
(/.f64 (PI.f64) F)
(PI.f64)
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (*.f64 (PI.f64) l)))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(/.f64 F (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (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))
l
(sqrt.f64 (sqrt.f64 (PI.f64)))
Outputs
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(PI.f64)
l
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(*.f64 F (neg.f64 F))
F
(neg.f64 F)
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(/.f64 l (*.f64 F F))
l
(*.f64 F F)
F
(neg.f64 (PI.f64))
(PI.f64)
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(/.f64 (neg.f64 l) F)
(/.f64 l (neg.f64 F))
(neg.f64 l)
l
F
(/.f64 (PI.f64) F)
(PI.f64)
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (*.f64 (PI.f64) l)))
(neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(/.f64 F (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (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 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l)
(*.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)))
(PI.f64)
(sqrt.f64 (PI.f64))
l
(sqrt.f64 (sqrt.f64 (PI.f64)))

localize285.0ms (1.8%)

Memory
-22.0MiB live, 573.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l)
✓accuracy99.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64))))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (*.f64 (PI.f64) l)))
✓accuracy99.7%
(/.f64 F (*.f64 (PI.f64) l))
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy100.0%
(neg.f64 l)
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
✓accuracy99.6%
(/.f64 (PI.f64) F)
✓accuracy100.0%
(neg.f64 (PI.f64))
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
✓accuracy90.8%
(/.f64 l (*.f64 F F))
✓accuracy99.6%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy81.3%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))
✓accuracy52.6%
(tan.f64 (*.f64 (PI.f64) l))
Samples
95.0ms47×2valid
93.0ms72×1valid
27.0ms132×0valid
26.0ms5×3valid
Compiler

Compiled 138 to 29 computations (79% saved)

Precisions
Click to see histograms. Total time spent on operations: 204.0ms
ival-tan: 141.0ms (69.2% of total)
ival-mult: 18.0ms (8.8% of total)
ival-div: 16.0ms (7.8% of total)
ival-sqrt: 16.0ms (7.8% of total)
adjust: 4.0ms (2% of total)
ival-neg: 4.0ms (2% of total)
ival-pi: 2.0ms (1% of total)
ival-add: 2.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series38.0ms (0.2%)

Memory
8.3MiB live, 87.5MiB allocated
Counts
21 → 288
Calls
Call 1
Inputs
#<alt (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))>
#<alt (PI.f64)>
#<alt (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))>
#<alt (tan.f64 (*.f64 (PI.f64) l))>
#<alt (*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))>
#<alt (/.f64 l (*.f64 F F))>
#<alt (*.f64 F F)>
#<alt (neg.f64 (PI.f64))>
#<alt (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))>
#<alt (/.f64 (neg.f64 l) F)>
#<alt (neg.f64 l)>
#<alt (/.f64 (PI.f64) F)>
#<alt (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (*.f64 (PI.f64) l)))>
#<alt (/.f64 #s(literal -1 binary64) F)>
#<alt (/.f64 F (*.f64 (PI.f64) l))>
#<alt (*.f64 (PI.f64) l)>
#<alt (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64))))>
#<alt (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l)>
#<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 (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))>
#<alt (* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))))))))))))>
#<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 (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* 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 (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))))))))>
#<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))>
#<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 (/ (* 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 (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 (/ (* 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 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 (/ l F))>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (* -1 l)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) F)>
#<alt (/ (PI) 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 (/ -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 (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* 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 (* (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)>
Calls

72 calls:

TimeVariablePointExpression
24.0ms
l
@0
(* (sqrt (* (PI) (sqrt (PI)))) l)
1.0ms
l
@0
(+ (* (PI) l) (/ (tan (* (PI) l)) (* F (neg F))))
0.0ms
l
@0
(/ (neg l) F)
0.0ms
F
@0
(/ F (* (PI) l))
0.0ms
F
@inf
(/ (neg l) F)

rewrite254.0ms (1.6%)

Memory
10.1MiB live, 403.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 196×lower-*.f32
4 180×lower-*.f64
4 000×lower-/.f32
3 986×lower-/.f64
3 442×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027110
051101
116798
2111896
0859896
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 1 092
Calls
Call 1
Inputs
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(PI.f64)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 l (*.f64 F F))
(*.f64 F F)
(neg.f64 (PI.f64))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/.f64 (neg.f64 l) F)
(neg.f64 l)
(/.f64 (PI.f64) F)
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (*.f64 (PI.f64) l)))
(/.f64 #s(literal -1 binary64) F)
(/.f64 F (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (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)))
(sqrt.f64 (PI.f64))
Outputs
(+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (neg.f64 (/.f64 (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -2 binary64)) (fma.f64 (PI.f64) l (/.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)))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (/.f64 (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -2 binary64)) (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l))) (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 l (PI.f64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) #s(literal 1 binary64) (*.f64 (PI.f64) l))
(fma.f64 (neg.f64 (PI.f64)) (neg.f64 l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (neg.f64 l) (neg.f64 (PI.f64)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 #s(literal -1 binary64) (*.f64 l (neg.f64 (PI.f64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (*.f64 (PI.f64) l))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.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 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))) (*.f64 (PI.f64) l))
(fma.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (*.f64 (PI.f64) l))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (neg.f64 (/.f64 (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))
(fma.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal 1 binary64) F) (pow.f64 (/.f64 (neg.f64 F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(fma.f64 (neg.f64 (*.f64 l (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (neg.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l))
(fma.f64 (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (neg.f64 F)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) F) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1/2 binary64)) (*.f64 (PI.f64) l))
(neg.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -3 binary64))) (neg.f64 (fma.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l)))))))
(neg.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -2 binary64))) (neg.f64 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -3 binary64)))) (fma.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))) (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -2 binary64))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -2 binary64)) (*.f64 (*.f64 (PI.f64) l) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))) (fma.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l)) (-.f64 (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -2 binary64)) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))))))
(/.f64 (fma.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -3 binary64))) (fma.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l)))))
(/.f64 (fma.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -2 binary64)) (*.f64 (*.f64 (PI.f64) l) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -2 binary64))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -2 binary64)) (*.f64 (*.f64 (PI.f64) l) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))))
(/.f64 (+.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))) (pow.f64 (/.f64 (*.f64 F (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -2 binary64))) (neg.f64 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
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(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (neg.f64 (*.f64 l (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.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)))
(neg.f64 (*.f64 (neg.f64 l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 l)))
(*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l)
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) #s(literal 3/4 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) (pow.f64 (PI.f64) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(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))
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(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 (PI.f64)))
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(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))
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(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))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))

simplify416.0ms (2.7%)

Memory
4.8MiB live, 635.7MiB allocated
Algorithm
1×egg-herbie
Rules
14 892×lower-fma.f64
14 892×lower-fma.f32
6 420×lower-*.f64
6 420×lower-*.f32
2 624×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01452516
14222472
214622360
373572360
081212332
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
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(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))))))))))))
(* l (PI))
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(* 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 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
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(* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))))))))
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(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
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(/ 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)))
(* 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))
(* (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)
Outputs
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2))))))
(*.f64 l (fma.f64 l (*.f64 l (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))
(*.f64 l (fma.f64 (*.f64 l l) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (*.f64 (*.f64 l l) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (PI.f64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/6 binary64))))) (*.f64 F F)))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))))))))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (fma.f64 l (*.f64 l (fma.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (PI.f64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/6 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))) (*.f64 F F)) (fma.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (/.f64 #s(literal -1/720 binary64) (*.f64 F F)) (/.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 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (PI.f64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/6 binary64))))) (*.f64 F F))) (neg.f64 (*.f64 l l)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 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))) (neg.f64 (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/.f64 (-.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 F F))) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (*.f64 F F))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/.f64 (-.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 F F))) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (*.f64 F F))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/.f64 (-.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 F F))) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))) (*.f64 F F))
(* 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))))))
(* -1 (/ (* l (PI)) (pow F 2)))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2)))))
(*.f64 l (-.f64 (*.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F))) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))))))
(*.f64 l (-.f64 (*.f64 (*.f64 l l) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (*.f64 (*.f64 l l) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (PI.f64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/6 binary64))))) (*.f64 F F))))) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (fma.f64 l (*.f64 l (fma.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) (-.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (PI.f64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/6 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))) (*.f64 F F)) (fma.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (/.f64 #s(literal -1/720 binary64) (*.f64 F F)) (/.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 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (PI.f64)) #s(literal -1/30 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/6 binary64))))) (*.f64 F F))) (neg.f64 (*.f64 l l)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F))) (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))))
(* -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))))))
(* -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))))))
(* -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))))))
(* -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))))))
(* -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))))))
(* -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))))))
(* -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))))))
(* -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))))))
(* -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))))))
(* -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))))))
(* -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))))))
(* -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))))))
(* -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))))))
(* -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))))))
(* -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))))))
(* -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))))))
(* -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))))))
(* -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))))))
(* -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))))))
(* -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))))))
(* 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 (*.f64 (PI.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))))))
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(*.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)))

eval271.0ms (1.7%)

Memory
44.2MiB live, 416.4MiB allocated
Compiler

Compiled 28 544 to 3 846 computations (86.5% saved)

prune209.0ms (1.3%)

Memory
-35.1MiB live, 427.8MiB allocated
Pruning

21 alts after pruning (13 fresh and 8 done)

PrunedKeptTotal
New1 93471 941
Fresh369
Picked235
Done156
Total1 940211 961
Accuracy
99.8%
Counts
1 961 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓77.0%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
24.6%
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))
16.8%
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 F (*.f64 l (neg.f64 (PI.f64)))) (/.f64 F (*.f64 l (neg.f64 (PI.f64)))))) (/.f64 F (*.f64 l (neg.f64 (PI.f64))))))
75.3%
(/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 l)) (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)))
75.4%
(/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 l)) (PI.f64))
37.8%
(/.f64 (*.f64 (neg.f64 (*.f64 l l)) (neg.f64 (PI.f64))) l)
✓21.0%
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
21.0%
(/.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 F F) l))
24.6%
(/.f64 #s(literal -1 binary64) (*.f64 F (/.f64 F (*.f64 (PI.f64) l))))
✓80.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
76.8%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))))
✓77.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))))
✓69.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (*.f64 l (PI.f64))))
24.6%
(*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F))
✓24.6%
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
5.1%
(*.f64 (/.f64 l (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 F (neg.f64 F)))) (neg.f64 (PI.f64)))
✓21.0%
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
21.0%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
69.5%
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
75.0%
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
✓75.4%
(*.f64 l (PI.f64))
Compiler

Compiled 929 to 334 computations (64% saved)

regimes84.0ms (0.5%)

Memory
22.4MiB live, 97.9MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/.f64 (*.f64 (neg.f64 (*.f64 l l)) (neg.f64 (PI.f64))) l)
(/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 l)) (PI.f64))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 F F) l))
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))
(*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F))
(/.f64 #s(literal -1 binary64) (*.f64 F (/.f64 F (*.f64 (PI.f64) l))))
(-.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))
(/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 l)) (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))))
(*.f64 (/.f64 l (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 F (neg.f64 F)))) (neg.f64 (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 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (*.f64 F F))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64))))) (*.f64 F F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 F (*.f64 l (neg.f64 (PI.f64)))) (/.f64 F (*.f64 l (neg.f64 (PI.f64)))))) (/.f64 F (*.f64 l (neg.f64 (PI.f64))))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 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 #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 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(fma.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (sin.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l))) (*.f64 F (*.f64 (neg.f64 F) (cos.f64 (*.f64 (PI.f64) l))))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
Calls

6 calls:

16.0ms
(/.f64 #s(literal 1 binary64) (*.f64 F F))
14.0ms
l
13.0ms
(*.f64 (PI.f64) l)
13.0ms
F
12.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Results
AccuracySegmentsBranch
87.6%3F
99.4%2l
90.9%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
99.4%2(*.f64 (PI.f64) l)
80.7%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
80.7%1(*.f64 F F)
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory
1.6MiB live, 39.3MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/.f64 (*.f64 (neg.f64 (*.f64 l l)) (neg.f64 (PI.f64))) l)
(/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 l)) (PI.f64))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 F F) l))
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))
(*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F))
(/.f64 #s(literal -1 binary64) (*.f64 F (/.f64 F (*.f64 (PI.f64) l))))
(-.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))
(/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 l)) (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))))
(*.f64 (/.f64 l (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 F (neg.f64 F)))) (neg.f64 (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 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (*.f64 F F))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (sqrt.f64 (sqrt.f64 (PI.f64))))) (*.f64 F F))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 F (*.f64 l (neg.f64 (PI.f64)))) (/.f64 F (*.f64 l (neg.f64 (PI.f64)))))) (/.f64 F (*.f64 l (neg.f64 (PI.f64))))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 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 (*.f64 (PI.f64) l) F) F))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
Calls

2 calls:

12.0ms
(*.f64 (PI.f64) l)
10.0ms
l
Results
AccuracySegmentsBranch
98.5%2l
98.5%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes20.0ms (0.1%)

Memory
-12.4MiB live, 29.9MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/.f64 (*.f64 (neg.f64 (*.f64 l l)) (neg.f64 (PI.f64))) l)
(/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 l)) (PI.f64))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 F F) l))
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))
(*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F))
(/.f64 #s(literal -1 binary64) (*.f64 F (/.f64 F (*.f64 (PI.f64) l))))
(-.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))
(/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (neg.f64 l)) (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))))
(*.f64 (/.f64 l (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 F F) (*.f64 F F))) (*.f64 F (neg.f64 F)))) (neg.f64 (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 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 l)) (PI.f64))
Calls

2 calls:

10.0ms
(*.f64 (PI.f64) l)
8.0ms
l
Results
AccuracySegmentsBranch
98.5%2l
98.5%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0.1%)

Memory
-15.7MiB live, 23.2MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/.f64 (*.f64 (neg.f64 (*.f64 l l)) (neg.f64 (PI.f64))) l)
(/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 l)) (PI.f64))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 F F) l))
(/.f64 (/.f64 (*.f64 (PI.f64) l) F) (neg.f64 F))
(*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 #s(literal -1 binary64) F))
(/.f64 #s(literal -1 binary64) (*.f64 F (/.f64 F (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
Outputs
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 l)) (PI.f64))
Calls

2 calls:

6.0ms
l
5.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
94.8%2l
94.8%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/.f64 (*.f64 (neg.f64 (*.f64 l l)) (neg.f64 (PI.f64))) l)
Outputs
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 l (PI.f64))
Calls

2 calls:

3.0ms
(*.f64 (PI.f64) l)
3.0ms
l
Results
AccuracySegmentsBranch
94.8%2l
94.8%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
Outputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (PI.f64))
Calls

2 calls:

2.0ms
(*.f64 (PI.f64) l)
2.0ms
l
Results
AccuracySegmentsBranch
94.8%2l
94.8%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0%)

Memory
-24.9MiB live, 13.9MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F F))
Outputs
(*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64)))
(*.f64 l (PI.f64))
Calls

3 calls:

3.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
2.0ms
(*.f64 (PI.f64) l)
2.0ms
l
Results
AccuracySegmentsBranch
86.3%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
75.4%1l
75.4%1(*.f64 (PI.f64) l)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes8.0ms (0%)

Memory
19.8MiB live, 19.8MiB 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
75.4%1l
75.4%1(*.f64 (PI.f64) l)
75.4%1(*.f64 F F)
75.4%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
75.4%1F
75.4%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
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2822699302.1304393
3.309789835573939e+20
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.248656149934866
28.921290919013238
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.65935549957833e-14
2.477692088567501e-10
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.65935549957833e-14
2.477692088567501e-10
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.9447009657945608e-24
3.498900110805507e-20
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.9447009657945608e-24
3.498900110805507e-20
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-7.959369520217575e-254
1.1249480565483119e-302
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify38.0ms (0.2%)

Memory
-11.0MiB live, 27.3MiB allocated
Algorithm
1×egg-herbie
Rules
330×unsub-neg_binary64
266×distribute-lft-neg-in_binary64
264×neg-mul-1_binary64
148×neg-sub0_binary64
112×cancel-sign-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053174
195174
2159170
3227170
4323170
5509170
6770170
7914170
81010170
91094170
101118170
111120170
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 l)) (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 l)) (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5444517870735015/2722258935367507707706996859454145691648 binary64)) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5444517870735015/2722258935367507707706996859454145691648 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 -825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) (*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64))) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
Outputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 l)) (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (/.f64 (*.f64 l (*.f64 (PI.f64) (PI.f64))) (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) (neg.f64 l)) (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (/.f64 (*.f64 l (*.f64 (PI.f64) (PI.f64))) (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5444517870735015/2722258935367507707706996859454145691648 binary64)) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5444517870735015/2722258935367507707706996859454145691648 binary64)) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5444517870735015/2722258935367507707706996859454145691648 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5444517870735015/2722258935367507707706996859454145691648 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 -825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) (*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64))) (*.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 -825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) (neg.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

soundness1.2s (7.7%)

Memory
33.9MiB live, 857.1MiB allocated
Rules
20 130×lower-fma.f64
20 130×lower-fma.f32
17 378×lower-fma.f64
17 378×lower-fma.f32
8 070×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01491418
14321331
214501227
369161158
085051124
02004682
15974444
218864016
080793917
027151
051111
1193103
21506103
08986103
027110
051101
116798
2111896
0859896
030132
057120
1203110
21473100
08287100
01037
01737
17031
246731
3666931
0819131
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 432 to 228 computations (47.2% saved)

preprocess224.0ms (1.4%)

Memory
-19.1MiB live, 214.5MiB allocated
Remove

(abs F)

Compiler

Compiled 748 to 324 computations (56.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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