VandenBroeck and Keller, Equation (6)

Time bar (total: 17.4s)

analyze207.0ms (1.2%)

Memory
3.5MiB live, 271.3MiB 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)

sample4.6s (26.5%)

Memory
118.0MiB live, 4 471.6MiB allocated
Samples
3.8s3 816×1valid
303.0ms4 380×0valid
152.0ms60×2valid
1.0ms4×4exit
Precisions
Click to see histograms. Total time spent on operations: 4.0s
ival-tan: 3.4s (84.4% of total)
ival-mult: 330.0ms (8.2% of total)
ival-div: 115.0ms (2.9% of total)
adjust: 63.0ms (1.6% of total)
ival-sub: 57.0ms (1.4% of total)
ival-pi: 49.0ms (1.2% of total)
ival-true: 6.0ms (0.1% of total)
exact: 6.0ms (0.1% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

preprocess73.0ms (0.4%)

Memory
8.3MiB live, 82.0MiB 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)

explain505.0ms (2.9%)

Memory
4.7MiB live, 666.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1220-0-(tan.f64 (*.f64 (PI.f64) l))
410-0-(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
30-0-(/.f64 #s(literal 1 binary64) (*.f64 F F))
00-0-(*.f64 (PI.f64) l)
00-0-#s(literal 1 binary64)
00-0-(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
00-0-(*.f64 F F)
00-0-l
00-0-F
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
tan.f64(tan.f64 (*.f64 (PI.f64) l))sensitivity1221
*.f64(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))n*o80
Confusion
Predicted +Predicted -
+560
-74126
Precision
0.4307692307692308
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5600
-741125
Precision?
0.42748091603053434
Recall?
1.0
Freqs
test
numberfreq
0126
1130
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
134.0ms74×2valid
132.0ms140×1valid
86.0ms18×3valid
36.0ms280×0valid
Compiler

Compiled 122 to 44 computations (63.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 350.0ms
ival-tan: 307.0ms (87.7% of total)
ival-mult: 15.0ms (4.3% of total)
ival-pi: 12.0ms (3.4% of total)
ival-div: 5.0ms (1.4% of total)
adjust: 5.0ms (1.4% of total)
ival-sub: 4.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶79.3%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify34.0ms (0.2%)

Memory
10.4MiB live, 54.7MiB 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))

localize207.0ms (1.2%)

Memory
-5.2MiB live, 400.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 (PI.f64) l)
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 F F))
✓accuracy84.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓accuracy55.4%
(tan.f64 (*.f64 (PI.f64) l))
Samples
80.0ms37×2valid
69.0ms70×1valid
32.0ms9×3valid
10.0ms140×0valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
ival-tan: 146.0ms (87.4% of total)
ival-mult: 8.0ms (4.8% of total)
ival-sub: 6.0ms (3.6% of total)
ival-div: 3.0ms (1.8% of total)
adjust: 3.0ms (1.8% of total)
ival-pi: 2.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
-7.5MiB live, 30.5MiB 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
6.0ms
l
@0
(* (/ 1 (* F F)) (tan (* (PI) l)))
3.0ms
F
@0
(* (/ 1 (* F F)) (tan (* (PI) l)))
2.0ms
l
@inf
(* (/ 1 (* F F)) (tan (* (PI) l)))
1.0ms
l
@-inf
(* (/ 1 (* F F)) (tan (* (PI) l)))
1.0ms
l
@0
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))

rewrite558.0ms (3.2%)

Memory
29.6MiB live, 452.4MiB 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)))))
(/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F))
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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))

simplify536.0ms (3.1%)

Memory
-52.6MiB live, 936.0MiB 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))

eval92.0ms (0.5%)

Memory
22.0MiB live, 100.4MiB allocated
Compiler

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

prune166.0ms (1%)

Memory
11.7MiB live, 125.0MiB allocated
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New45719476
Fresh000
Picked101
Done000
Total45819477
Accuracy
99.8%
Counts
477 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶82.2%
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
78.9%
(fma.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))) (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
79.2%
(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))))
40.4%
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 l l) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (neg.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))
79.3%
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
79.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
78.9%
(-.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))))
82.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
82.1%
(-.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)))
▶82.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
71.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
79.3%
(-.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))))))
79.3%
(-.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))))
51.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))))) (PI.f64)))))
▶53.9%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))))
71.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
▶79.2%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
71.4%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
▶74.0%
(*.f64 l (PI.f64))
Compiler

Compiled 798 to 462 computations (42.1% saved)

simplify360.0ms (2.1%)

Memory
4.2MiB live, 598.6MiB 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) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
✓cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))
✓cost-diff640
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))))
✓cost-diff320
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 l (PI.f64))
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff0
(tan.f64 (*.f64 (PI.f64) l))
✓cost-diff0
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
✓cost-diff576
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
Rules
13 680×lower-fma.f32
13 676×lower-fma.f64
4 214×lower-*.f32
4 186×lower-*.f64
2 156×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035293
067291
1128271
2348265
31296265
44216265
57298265
08076265
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
F
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
(*.f64 l (PI.f64))
l
(PI.f64)
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
(*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))
(fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))
(*.f64 l l)
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/3 binary64)
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))
(*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(tan.f64 (*.f64 (PI.f64) l))
(neg.f64 F)
(-.f64 (*.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
(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 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
F
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
l
(PI.f64)
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 l l) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) (*.f64 F F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))))
(/.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 l (*.f64 (PI.f64) (*.f64 l l))) l)) (*.f64 F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
(*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))
(*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 l (*.f64 (PI.f64) (*.f64 l l))) l))
(fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))
(fma.f64 (*.f64 l l) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64))
(*.f64 l l)
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/3 binary64)
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(tan.f64 (*.f64 (PI.f64) l))
(neg.f64 F)
(-.f64 (*.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 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.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 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.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 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.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 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.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)))

localize576.0ms (3.3%)

Memory
-0.7MiB live, 787.9MiB 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))
✓accuracy84.3%
(*.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)))
✓accuracy55.4%
(tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
✓accuracy99.9%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))
✓accuracy99.6%
(*.f64 (PI.f64) l)
✓accuracy55.4%
(tan.f64 (*.f64 (PI.f64) l))
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 F F))
✓accuracy98.4%
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))
✓accuracy86.0%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(*.f64 l (PI.f64))
✓accuracy99.9%
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
✓accuracy99.8%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
✓accuracy99.6%
(*.f64 (PI.f64) l)
✓accuracy55.4%
(tan.f64 (*.f64 (PI.f64) l))
Samples
205.0ms38×2valid
191.0ms69×1valid
66.0ms9×3valid
38.0ms140×0valid
Compiler

Compiled 300 to 39 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 457.0ms
ival-tan: 323.0ms (70.6% of total)
ival-mult: 89.0ms (19.5% of total)
ival-div: 11.0ms (2.4% of total)
ival-sqrt: 9.0ms (2% of total)
adjust: 8.0ms (1.7% of total)
const: 6.0ms (1.3% of total)
ival-sub: 5.0ms (1.1% of total)
ival-add: 3.0ms (0.7% of total)
ival-pi: 2.0ms (0.4% of total)
ival-neg: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory
11.5MiB live, 48.0MiB allocated
Counts
19 → 276
Calls
Call 1
Inputs
#<alt (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))>
#<alt (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)>
#<alt (tan.f64 (*.f64 (PI.f64) l))>
#<alt (*.f64 (PI.f64) l)>
#<alt (*.f64 l (PI.f64))>
#<alt (PI.f64)>
#<alt (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))))>
#<alt (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))>
#<alt (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))>
#<alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))>
#<alt (*.f64 (/.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 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))>
#<alt (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 F 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) (* -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 (/ (* 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))))))>
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#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (/ 1 (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))>
#<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
3.0ms
F
@0
(- (* (PI) l) (* (/ 1 (* F F)) (* l (+ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (PI)))))
3.0ms
l
@-inf
(* (/ -1 F) (tan (* (PI) l)))
2.0ms
l
@-inf
(+ (* (/ (tan (* (PI) l)) F) (/ -1 F)) (* (PI) l))
1.0ms
l
@inf
(- (* (PI) l) (* (/ 1 (* F F)) (* l (+ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (PI)))))
1.0ms
l
@0
(- (* (PI) l) (* (/ 1 (* F F)) (* l (+ (* (* l l) (* (PI) (* (* (PI) (PI)) 1/3))) (PI)))))

rewrite350.0ms (2%)

Memory
-20.2MiB live, 691.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 354×lower-fma.f32
7 350×lower-fma.f64
4 716×lower-*.f32
4 690×lower-*.f64
3 436×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035188
067154
1236132
21937132
08225132
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 875
Calls
Call 1
Inputs
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(PI.f64)
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))
(*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
(*.f64 (/.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))))
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))
(/.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))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.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 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l))) (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l))) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)))) (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 3 binary64)) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.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 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(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 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) F)) #s(literal -1 binary64)) (*.f64 (PI.f64) l))
(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 (/.f64 #s(literal -1 binary64) F) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.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 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 (/.f64 #s(literal -1 binary64) F) #s(literal -1 binary64)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 (/.f64 #s(literal -1 binary64) F)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal -1 binary64) (*.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 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) (/.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 (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 #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) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal -1 binary64)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))) (*.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 #s(literal -1 binary64) (*.f64 F F)) (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (*.f64 (PI.f64) l))
(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 (neg.f64 (/.f64 #s(literal -1 binary64) F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (*.f64 (PI.f64) l))
(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 (*.f64 l #s(literal 1 binary64)) (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 (neg.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 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) F)) #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (*.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 #s(literal -1 binary64) (/.f64 F (sin.f64 (*.f64 (PI.f64) l)))) (/.f64 (/.f64 #s(literal 1 binary64) F) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (sin.f64 (*.f64 (PI.f64) l)))) (/.f64 (/.f64 #s(literal -1 binary64) F) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (sin.f64 (*.f64 (PI.f64) l)))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) #s(literal 1 binary64)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) 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)) #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 (/.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 (/.f64 #s(literal -1 binary64) F) (/.f64 F (sin.f64 (*.f64 (PI.f64) l)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (PI.f64) l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) l) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (fma.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l)) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l)) (-.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l))))))
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(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/3 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) (PI.f64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 F)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 F))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(/.f64 #s(literal -1 binary64) (*.f64 F (neg.f64 F)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 F (/.f64 #s(literal 1 binary64) F))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 F (neg.f64 F)))))
(/.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 F (neg.f64 F))))
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 #s(literal 1 binary64) F)))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) F)) F)
(pow.f64 F #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) F) #s(literal 2 binary64))
(pow.f64 (*.f64 F F) #s(literal -1 binary64))
(pow.f64 (neg.f64 F) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 F F) (*.f64 F F)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (*.f64 F (neg.f64 F))) #s(literal -1 binary64))
(pow.f64 (/.f64 F (/.f64 #s(literal 1 binary64) F)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 #s(literal -1 binary64) F))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal -1 binary64) F) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) F))
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (*.f64 #s(literal 1 binary64) (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 (neg.f64 (*.f64 #s(literal 1 binary64) (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 (cos.f64 (*.f64 (PI.f64) l)) (sin.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))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(fabs.f64 (PI.f64))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (*.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 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 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 (*.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 (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 #s(literal 1 binary64) #s(literal 1/3 binary64)) (PI.f64))
(*.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 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.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)) (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)))

simplify871.0ms (5%)

Memory
-21.0MiB live, 693.6MiB allocated
Algorithm
1×egg-herbie
Rules
12 256×lower-fma.f64
12 256×lower-fma.f32
6 774×lower-*.f64
6 774×lower-*.f32
4 418×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02795193
19085027
231924783
083954634
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))))))))))))
(* l (PI))
(* 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))))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* 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)) 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))
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(* 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) (* -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 (-.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (*.f64 F F))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (/.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 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F)) (*.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) (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 (- (* -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 (*.f64 l l) (fma.f64 (*.f64 l l) (neg.f64 (fma.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F)) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal 1/30 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (neg.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64)) (*.f64 F F))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F)) (*.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) (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 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F (neg.f64 F))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* 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))))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* 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))))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* 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)) 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 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F) (*.f64 (*.f64 l l) #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)) (+ (* -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 l (*.f64 l (fma.f64 l (*.f64 l (/.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64)))) F)) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.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)) (* (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 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64))))) F) (fma.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (/.f64 #s(literal -1/720 binary64) F) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) F)))))) (/.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64)))) F)) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) F))) (/.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 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (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 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64)))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
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(/ (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))))

eval478.0ms (2.8%)

Memory
26.7MiB live, 403.1MiB allocated
Compiler

Compiled 51 981 to 5 194 computations (90% saved)

prune289.0ms (1.7%)

Memory
12.8MiB live, 493.1MiB allocated
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New2 039152 054
Fresh7714
Picked415
Done000
Total2 050232 073
Accuracy
99.9%
Counts
2 073 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.1%
(fma.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
74.2%
(fma.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
82.1%
(fma.f64 (/.f64 (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
65.7%
(fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
▶53.9%
(fma.f64 (PI.f64) l (/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F))))
79.3%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
22.4%
(/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 F (neg.f64 F)))
74.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) (neg.f64 F)))
▶82.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
▶82.1%
(-.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)))
▶74.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F)))
71.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
79.3%
(-.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))))))
51.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))))) (PI.f64)))))
53.9%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))))
71.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
78.1%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
63.0%
(-.f64 (*.f64 (PI.f64) l) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))))
73.9%
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
74.0%
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
▶71.4%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
73.5%
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
✓74.0%
(*.f64 l (PI.f64))
Compiler

Compiled 867 to 538 computations (37.9% saved)

simplify213.0ms (1.2%)

Memory
-3.8MiB live, 370.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff0
(-.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)))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F)
✓cost-diff1088
(/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F))
✓cost-diff0
(*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)))
✓cost-diff0
(/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F)))
✓cost-diff0
(PI.f64)
✓cost-diff320
(fma.f64 (PI.f64) l (/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F))))
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
✓cost-diff320
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F)))
✓cost-diff640
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F))
✓cost-diff0
(/.f64 (PI.f64) (*.f64 F F))
✓cost-diff0
(PI.f64)
✓cost-diff0
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
✓cost-diff0
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
✓cost-diff0
(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
4 802×lower-fma.f32
4 798×lower-fma.f64
2 604×lower-*.f32
2 580×lower-*.f64
1 488×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035266
066239
1131234
2321231
31126231
42879228
55177228
66898228
08010227
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 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
l
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 F F)
F
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F))
(*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(*.f64 l (PI.f64))
(neg.f64 F)
(fma.f64 (PI.f64) l (/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F))))
(PI.f64)
l
(/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F)))
(*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)))
(fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))
(*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
#s(literal 1/3 binary64)
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(*.f64 F (neg.f64 F))
F
(neg.f64 F)
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F)))
(*.f64 (PI.f64) l)
(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) F)
#s(literal 1 binary64)
F
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F)
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))
(tan.f64 (*.f64 (PI.f64) l))
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 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
l
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 F F)
F
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F)))
(*.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) (*.f64 l (PI.f64))) (neg.f64 F))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) F)
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(neg.f64 F)
(fma.f64 (PI.f64) l (/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (PI.f64)) (*.f64 F F))))
(PI.f64)
l
(/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F)))
(/.f64 (*.f64 l (fma.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (PI.f64))) (*.f64 F (neg.f64 F)))
(*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)))
(*.f64 l (fma.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (PI.f64)))
(fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 l l))) (PI.f64))
(*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
#s(literal 1/3 binary64)
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(*.f64 F (neg.f64 F))
F
(neg.f64 F)
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F)))
(-.f64 (*.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) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/.f64 #s(literal 1 binary64) F)
#s(literal 1 binary64)
F
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F)
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))
(tan.f64 (*.f64 (PI.f64) l))

localize1.0s (6%)

Memory
20.4MiB live, 2 040.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (PI.f64) l)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))
✓accuracy98.5%
(tan.f64 (*.f64 (PI.f64) l))
✓accuracy56.9%
(PI.f64)
✓accuracy99.1%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy99.1%
(*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓accuracy96.9%
(/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F)))
✓accuracy56.9%
(PI.f64)
✓accuracy99.8%
(*.f64 (PI.f64) l)
✓accuracy99.8%
(*.f64 l (PI.f64))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
✓accuracy56.9%
(PI.f64)
✓accuracy100.0%
(*.f64 F F)
✓accuracy99.5%
(/.f64 (PI.f64) (*.f64 F F))
✓accuracy97.0%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
✓accuracy56.9%
(PI.f64)
✓accuracy99.8%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
✓accuracy99.8%
(*.f64 (PI.f64) l)
✓accuracy98.5%
(tan.f64 (*.f64 (PI.f64) l))
✓accuracy56.9%
(PI.f64)
Samples
922.0ms114×3exit
47.0ms141×0valid
4.0ms1×1valid
Compiler

Compiled 273 to 38 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 923.0ms
ival-tan: 805.0ms (87.2% of total)
ival-mult: 44.0ms (4.8% of total)
ival-div: 33.0ms (3.6% of total)
adjust: 17.0ms (1.8% of total)
ival-sub: 8.0ms (0.9% of total)
const: 8.0ms (0.9% of total)
ival-add: 4.0ms (0.4% of total)
ival-pi: 2.0ms (0.2% of total)
ival-neg: 1.0ms (0.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.1%)

Memory
-16.8MiB live, 61.3MiB allocated
Counts
23 → 384
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 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))>
#<alt (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))>
#<alt (/.f64 (PI.f64) (*.f64 F F))>
#<alt (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F))>
#<alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F)))>
#<alt (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))>
#<alt (fma.f64 (PI.f64) l (/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F))))>
#<alt (/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F)))>
#<alt (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F))>
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#<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 (/ F (* l (PI)))>
#<alt (/ (+ (* -1 (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ F (PI))) l)>
#<alt (/ (+ (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 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 (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)>
#<alt (/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (* 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 (PI) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 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 (PI) 2))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))) (/ (* F (- (* -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))))))))) (pow (PI) 2)))))) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 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 (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* 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 (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ (+ (* (pow l 2) (- (* -1/2 (PI)) (* -1/6 (PI)))) (/ 1 (PI))) l)>
#<alt (/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)>
#<alt (/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (+ (* 1/24 (pow (PI) 3)) (* (pow l 2) (- (+ (* -1/2 (- (* 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) 5)) (* 1/24 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))) (+ (* -1/5040 (pow (PI) 5)) (+ (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* 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))))) (PI)) (/ (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))))) (PI)))))))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)>
#<alt (/ (cos (* l (PI))) (sin (* l (PI))))>
#<alt (/ (cos (* l (PI))) (sin (* l (PI))))>
#<alt (/ (cos (* l (PI))) (sin (* l (PI))))>
#<alt (/ (cos (* l (PI))) (sin (* l (PI))))>
#<alt (/ (cos (* l (PI))) (sin (* l (PI))))>
#<alt (/ (cos (* l (PI))) (sin (* l (PI))))>
#<alt (/ (cos (* l (PI))) (sin (* l (PI))))>
#<alt (/ (cos (* l (PI))) (sin (* l (PI))))>
Calls

96 calls:

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

rewrite346.0ms (2%)

Memory
-7.0MiB live, 483.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 438×lower-*.f32
6 414×lower-*.f64
4 400×lower-fma.f32
4 396×lower-fma.f64
3 622×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035201
066183
1265173
22368173
08873172
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 604
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 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F)))
(*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F))))
(/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F)))
(*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F)
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F)))
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(*.f64 F F)
(*.f64 l (PI.f64))
(*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (neg.f64 F) (tan.f64 (*.f64 (PI.f64) l))))
(/.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) (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (/.f64 (neg.f64 F) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 (*.f64 F F)))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 F))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal 1 binary64)) F)
(/.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (neg.f64 (*.f64 F F)))
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(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)) (-.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (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 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(pow.f64 (/.f64 (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))) (-.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (-.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))))))
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))))
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(pow.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(*.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))))
(exp.f64 (*.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 F) #s(literal -1 binary64)) (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 F) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 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 #s(literal 1 binary64) F)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F))
(/.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (neg.f64 F))
(/.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))) F)
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) F)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) F))
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
(*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 1 binary64)) (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (pow.f64 (/.f64 F (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(exp.f64 (*.f64 (log.f64 F) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 F F)))
(neg.f64 (neg.f64 (*.f64 F F)))
(pow.f64 F #s(literal 2 binary64))
(pow.f64 (*.f64 F F) #s(literal 1 binary64))
(pow.f64 (neg.f64 F) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 F)) #s(literal 2 binary64))
(*.f64 F F)
(*.f64 (*.f64 F F) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 F F)))
(*.f64 (neg.f64 F) (neg.f64 F))
(*.f64 #s(literal 1 binary64) (*.f64 F F))
(*.f64 (exp.f64 (log.f64 F)) (exp.f64 (log.f64 F)))
(*.f64 (PI.f64) l)
(*.f64 l (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 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(*.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 2 binary64) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(pow.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64))
(*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) l))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)))

simplify474.0ms (2.7%)

Memory
7.9MiB live, 670.2MiB allocated
Algorithm
1×egg-herbie
Rules
13 864×lower-fma.f64
13 864×lower-fma.f32
6 620×lower-*.f64
6 620×lower-*.f32
3 396×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03445857
110455603
238975192
083175067
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
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)))))))))
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(* 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)))))
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(pow F 2)
(* 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 l 2) (- (* -1/2 (PI)) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (+ (* 1/24 (pow (PI) 3)) (* (pow l 2) (- (+ (* -1/2 (- (* 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) 5)) (* 1/24 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))) (+ (* -1/5040 (pow (PI) 5)) (+ (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* 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))))) (PI)) (/ (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))))) (PI)))))))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/ (cos (* l (PI))) (sin (* l (PI))))
(/ (cos (* l (PI))) (sin (* l (PI))))
(/ (cos (* l (PI))) (sin (* l (PI))))
(/ (cos (* l (PI))) (sin (* l (PI))))
(/ (cos (* l (PI))) (sin (* l (PI))))
(/ (cos (* l (PI))) (sin (* l (PI))))
(/ (cos (* l (PI))) (sin (* l (PI))))
(/ (cos (* l (PI))) (sin (* l (PI))))
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 (*.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))) (+ (* -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 l (*.f64 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)))) (*.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) (-.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (*.f64 F F)) (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 #s(literal 1/24 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F))) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64)) (*.f64 F 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)))) (*.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)))))
(/ (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) (/ (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 (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) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/6 binary64)))) (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (*.f64 F F))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/6 binary64)))) (*.f64 F F)) (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 #s(literal 1/24 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64)))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal 1/30 binary64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (*.f64 F F))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 (*.f64 F F))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
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(/.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 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.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 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.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)) (* (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 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F) (-.f64 (*.f64 (/.f64 (*.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))))) F) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F)) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64)) F)))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) F)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) F))) (/.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)))))
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(pow F 2)
(*.f64 F F)
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(/ 1 (* l (PI)))
(/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64)))
(/ (+ (* (pow l 2) (- (* -1/2 (PI)) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/.f64 (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64)) (*.f64 (PI.f64) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/120 binary64))))) (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (+ (* 1/24 (pow (PI) 3)) (* (pow l 2) (- (+ (* -1/2 (- (* 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) 5)) (* 1/24 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))) (+ (* -1/5040 (pow (PI) 5)) (+ (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* 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))))) (PI)) (/ (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))))) (PI)))))))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/.f64 (fma.f64 l (*.f64 l (fma.f64 (PI.f64) #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (-.f64 (fma.f64 (*.f64 l l) (-.f64 (fma.f64 #s(literal -1/2 binary64) (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)))) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/720 binary64)))) (fma.f64 (PI.f64) (*.f64 #s(literal -1/3 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)))) (PI.f64))) (fma.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64)) (*.f64 (PI.f64) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/120 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (PI.f64))) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/5040 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64))) (*.f64 (PI.f64) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/120 binary64)))))))) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(/ (cos (* l (PI))) (sin (* l (PI))))
(/.f64 (cos.f64 (*.f64 l (PI.f64))) (sin.f64 (*.f64 l (PI.f64))))
(/ (cos (* l (PI))) (sin (* l (PI))))
(/.f64 (cos.f64 (*.f64 l (PI.f64))) (sin.f64 (*.f64 l (PI.f64))))
(/ (cos (* l (PI))) (sin (* l (PI))))
(/.f64 (cos.f64 (*.f64 l (PI.f64))) (sin.f64 (*.f64 l (PI.f64))))
(/ (cos (* l (PI))) (sin (* l (PI))))
(/.f64 (cos.f64 (*.f64 l (PI.f64))) (sin.f64 (*.f64 l (PI.f64))))
(/ (cos (* l (PI))) (sin (* l (PI))))
(/.f64 (cos.f64 (*.f64 l (PI.f64))) (sin.f64 (*.f64 l (PI.f64))))
(/ (cos (* l (PI))) (sin (* l (PI))))
(/.f64 (cos.f64 (*.f64 l (PI.f64))) (sin.f64 (*.f64 l (PI.f64))))
(/ (cos (* l (PI))) (sin (* l (PI))))
(/.f64 (cos.f64 (*.f64 l (PI.f64))) (sin.f64 (*.f64 l (PI.f64))))
(/ (cos (* l (PI))) (sin (* l (PI))))
(/.f64 (cos.f64 (*.f64 l (PI.f64))) (sin.f64 (*.f64 l (PI.f64))))

eval236.0ms (1.4%)

Memory
16.5MiB live, 398.3MiB allocated
Compiler

Compiled 34 581 to 4 199 computations (87.9% saved)

prune173.0ms (1%)

Memory
5.3MiB live, 407.2MiB allocated
Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New1 620141 634
Fresh8917
Picked235
Done011
Total1 630271 657
Accuracy
99.9%
Counts
1 657 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) l) F) (/.f64 (PI.f64) F) (*.f64 (PI.f64) l))
71.4%
(fma.f64 (PI.f64) l (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))
✓53.9%
(fma.f64 (PI.f64) l (/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F))))
79.3%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
22.4%
(/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 F (neg.f64 F)))
▶74.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
✓82.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
▶89.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l) F)))
74.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))) F)))
▶74.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (neg.f64 F)))
74.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l (neg.f64 F))) (neg.f64 F)))
65.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))) F))
79.3%
(-.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))))))
51.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))))) (PI.f64)))))
78.1%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
63.0%
(-.f64 (*.f64 (PI.f64) l) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))))
73.9%
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
74.0%
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
71.4%
(*.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)))
▶57.3%
(*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))))
71.4%
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
71.3%
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))
✓71.4%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
71.4%
(*.f64 l (-.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (PI.f64)))))
73.5%
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
▶22.5%
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
✓74.0%
(*.f64 l (PI.f64))
Compiler

Compiled 878 to 549 computations (37.5% saved)

simplify182.0ms (1.1%)

Memory
8.7MiB live, 277.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
✓cost-diff320
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (neg.f64 F)))
✓cost-diff640
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (neg.f64 F))
✓cost-diff0
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))))
✓cost-diff128
(-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff320
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
✓cost-diff384
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) (*.f64 F F))
✓cost-diff0
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
✓cost-diff0
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff128
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l) F)))
✓cost-diff1088
(/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l) F))
Rules
4 166×lower-fma.f32
4 162×lower-fma.f64
3 182×lower-*.f32
3 150×lower-*.f64
1 318×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044347
084347
1155339
2384332
31316328
43699328
56586328
08217323
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l) F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l) F))
(/.f64 #s(literal 1 binary64) F)
#s(literal 1 binary64)
F
(*.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l) F)
(/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64)))
(*.f64 (PI.f64) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(/.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
l
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (PI.f64) (*.f64 F F))
(PI.f64)
(*.f64 F F)
F
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 l (PI.f64))
F
(*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))))
l
(-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F)))
(PI.f64)
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))
(fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(*.f64 l l)
#s(literal 1/3 binary64)
(*.f64 (PI.f64) (PI.f64))
(*.f64 F F)
F
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (neg.f64 F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (neg.f64 F))
(*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(neg.f64 F)
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l) F)))
(fma.f64 (PI.f64) l (/.f64 l (*.f64 (*.f64 F F) (fma.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64))))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l) F))
(/.f64 l (*.f64 F (fma.f64 F (*.f64 l (*.f64 (PI.f64) (*.f64 l #s(literal -1/3 binary64)))) (/.f64 F (PI.f64)))))
(/.f64 #s(literal 1 binary64) F)
#s(literal 1 binary64)
F
(*.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l) F)
(*.f64 (fma.f64 (PI.f64) (*.f64 l (*.f64 l #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l))
(/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(/.f64 (fma.f64 (PI.f64) (*.f64 l (*.f64 l #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 (PI.f64) (*.f64 l (*.f64 l #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64)))
(*.f64 (PI.f64) (*.f64 l #s(literal -1/3 binary64)))
(*.f64 (PI.f64) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(/.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (*.f64 (PI.f64) l) (*.f64 F (neg.f64 F)))
l
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (PI.f64) (*.f64 F (neg.f64 F)))
(/.f64 (PI.f64) (*.f64 F F))
(PI.f64)
(*.f64 F F)
F
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)
(/.f64 (*.f64 (PI.f64) l) (*.f64 F F))
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 (PI.f64) l) F)
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
F
(*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))))
(*.f64 l (fma.f64 (/.f64 (PI.f64) (*.f64 F F)) (fma.f64 (*.f64 l l) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1 binary64)) (PI.f64)))
l
(-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F)))
(fma.f64 (/.f64 (PI.f64) (*.f64 F F)) (fma.f64 (*.f64 l l) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1 binary64)) (PI.f64))
(PI.f64)
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))
(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))
(fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64))
(*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(*.f64 l l)
#s(literal 1/3 binary64)
(*.f64 (PI.f64) (PI.f64))
(*.f64 F F)
F
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (neg.f64 F)))
(*.f64 l (fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (/.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 F (neg.f64 F))) (PI.f64)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (neg.f64 F))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (/.f64 l (*.f64 F F))))
(*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 l) F)))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(neg.f64 F)

localize164.0ms (0.9%)

Memory
1.8MiB live, 277.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
✓accuracy99.6%
(*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
✓accuracy98.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy99.7%
(*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64))
✓accuracy99.7%
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
✓accuracy96.9%
(*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))))
✓accuracy87.9%
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))
✓accuracy99.8%
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)
✓accuracy99.6%
(/.f64 (*.f64 l (PI.f64)) F)
✓accuracy99.6%
(*.f64 (PI.f64) l)
✓accuracy99.6%
(*.f64 l (PI.f64))
✓accuracy100.0%
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.3%
(/.f64 (PI.f64) (*.f64 F F))
✓accuracy92.3%
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
✓accuracy99.6%
(*.f64 (PI.f64) l)
✓accuracy99.0%
(*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64)))
✓accuracy98.4%
(*.f64 (PI.f64) #s(literal -1/3 binary64))
✓accuracy76.3%
(/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
Samples
90.0ms256×0valid
Compiler

Compiled 358 to 48 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 26.0ms (41% of total)
ival-div: 15.0ms (23.7% of total)
const: 7.0ms (11% of total)
ival-sub: 6.0ms (9.5% of total)
ival-sqrt: 5.0ms (7.9% of total)
ival-add: 2.0ms (3.2% of total)
ival-neg: 2.0ms (3.2% of total)
ival-pi: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series34.0ms (0.2%)

Memory
41.8MiB live, 73.3MiB allocated
Counts
25 → 396
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l) F))>
#<alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l) F)))>
#<alt (*.f64 (PI.f64) l)>
#<alt (PI.f64)>
#<alt (*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))>
#<alt (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))>
#<alt (/.f64 (PI.f64) (*.f64 F F))>
#<alt (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)>
#<alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))>
#<alt (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F)))>
#<alt (*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))))>
#<alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))>
#<alt (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (neg.f64 F))>
#<alt (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (neg.f64 F)))>
#<alt (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))>
#<alt (/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l)>
#<alt (*.f64 (PI.f64) #s(literal -1/3 binary64))>
#<alt (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64)))>
#<alt (*.f64 l (PI.f64))>
#<alt (/.f64 (*.f64 l (PI.f64)) F)>
#<alt (*.f64 (*.f64 l l) #s(literal 1/3 binary64))>
#<alt (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))>
#<alt (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))>
Outputs
#<alt (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (* 1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
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#<alt (* l (+ (* -1/3 (PI)) (/ 1 (* (pow l 2) (PI)))))>
#<alt (* l (+ (* -1/3 (PI)) (/ 1 (* (pow l 2) (PI)))))>
#<alt (* l (+ (* -1/3 (PI)) (/ 1 (* (pow l 2) (PI)))))>
#<alt (* -1/3 (* l (PI)))>
#<alt (* -1 (* l (- (* 1/3 (PI)) (/ 1 (* (pow l 2) (PI))))))>
#<alt (* -1 (* l (- (* 1/3 (PI)) (/ 1 (* (pow l 2) (PI))))))>
#<alt (* -1 (* l (- (* 1/3 (PI)) (/ 1 (* (pow l 2) (PI))))))>
#<alt (* -1/3 (* l (PI)))>
#<alt (* -1/3 (* l (PI)))>
#<alt (* -1/3 (* l (PI)))>
#<alt (* -1/3 (* l (PI)))>
#<alt (* -1/3 (* l (PI)))>
#<alt (* -1/3 (* l (PI)))>
#<alt (* -1/3 (* l (PI)))>
#<alt (* -1/3 (* l (PI)))>
#<alt (* -1/3 (* l (PI)))>
#<alt (* -1/3 (* l (PI)))>
#<alt (* -1/3 (* l (PI)))>
#<alt (* -1/3 (* 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)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (* (pow l 2) (PI)))>
#<alt (* 1/3 (* (pow l 2) (PI)))>
#<alt (* 1/3 (* (pow l 2) (PI)))>
#<alt (* 1/3 (* (pow l 2) (PI)))>
#<alt (* 1/3 (* (pow l 2) (PI)))>
#<alt (* 1/3 (* (pow l 2) (PI)))>
#<alt (* 1/3 (* (pow l 2) (PI)))>
#<alt (* 1/3 (* (pow l 2) (PI)))>
#<alt (* 1/3 (* (pow l 2) (PI)))>
#<alt (* 1/3 (* (pow l 2) (PI)))>
#<alt (* 1/3 (* (pow l 2) (PI)))>
#<alt (* 1/3 (* (pow l 2) (PI)))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
Calls

99 calls:

TimeVariablePointExpression
7.0ms
l
@0
(/ (+ (* l (* l (* (PI) -1/3))) (/ 1 (PI))) l)
7.0ms
l
@0
(* l (- (PI) (/ (+ (* (* (* (* l l) 1/3) (PI)) (* (PI) (PI))) (PI)) (* F F))))
2.0ms
F
@0
(/ (/ 1 F) (* (/ (+ (* l (* l (* (PI) -1/3))) (/ 1 (PI))) l) F))
2.0ms
l
@-inf
(/ (/ 1 F) (* (/ (+ (* l (* l (* (PI) -1/3))) (/ 1 (PI))) l) F))
1.0ms
l
@inf
(/ (/ 1 F) (* (/ (+ (* l (* l (* (PI) -1/3))) (/ 1 (PI))) l) F))

rewrite348.0ms (2%)

Memory
-27.0MiB live, 627.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 152×lower-*.f32
6 122×lower-*.f64
4 670×lower-fma.f32
4 666×lower-fma.f64
3 226×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044252
084213
1303198
22543198
08909195
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 781
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l) F)))
(*.f64 (PI.f64) l)
(PI.f64)
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
(neg.f64 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (PI.f64) (*.f64 F F))
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (neg.f64 F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (neg.f64 F)))
(*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
(/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(*.f64 (PI.f64) #s(literal -1/3 binary64))
(*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64)))
(*.f64 l (PI.f64))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(/.f64 #s(literal 1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))) l)))
(/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))
(/.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (neg.f64 (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 F) (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)) (neg.f64 F)))
(/.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))) l) F)
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))) l)) (neg.f64 F))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))) l)) (neg.f64 F))
(pow.f64 (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 F (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))) l)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))) l))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(*.f64 (/.f64 l (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(*.f64 (/.f64 l (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 (/.f64 F (/.f64 #s(literal 1 binary64) F)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))) l) (/.f64 #s(literal 1 binary64) F))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 F (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))) l)
(*.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 F (/.f64 #s(literal 1 binary64) F)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) F))
(+.f64 (*.f64 l (PI.f64)) (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))) (*.f64 l (PI.f64)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 #s(literal 1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(-.f64 (/.f64 (*.f64 (*.f64 l (PI.f64)) (*.f64 l (*.f64 (PI.f64) (*.f64 l (PI.f64))))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))) (fma.f64 (/.f64 l (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))) (*.f64 l (*.f64 (PI.f64) (*.f64 l (PI.f64)))))) (/.f64 (pow.f64 (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l))) #s(literal -3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))) (fma.f64 (/.f64 l (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))) (*.f64 l (*.f64 (PI.f64) (*.f64 l (PI.f64)))))))
(-.f64 (/.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 l (PI.f64)))) (fma.f64 (/.f64 l (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l))) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l))))) (fma.f64 (/.f64 l (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 l (PI.f64)) (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(fma.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))) l)) (*.f64 l (PI.f64)))
(fma.f64 l (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))) (*.f64 l (PI.f64)))
(fma.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))) l) (*.f64 l (PI.f64)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(fma.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
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(*.f64 (*.f64 (*.f64 l (PI.f64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) F))
(*.f64 (neg.f64 (/.f64 (neg.f64 l) F)) (PI.f64))
(*.f64 l (*.f64 l #s(literal 1/3 binary64)))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 l l))
(*.f64 (*.f64 l #s(literal 1/3 binary64)) l)
(*.f64 #s(literal 1 binary64) (*.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal 1/3 binary64)))))
(*.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal 1/3 binary64))))
(*.f64 l (*.f64 (*.f64 l #s(literal 1/3 binary64)) (PI.f64)))
(*.f64 (PI.f64) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)))
(*.f64 (*.f64 l (PI.f64)) (*.f64 l #s(literal 1/3 binary64)))
(*.f64 (*.f64 l l) (*.f64 (PI.f64) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)))
(*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) (*.f64 l l))
(*.f64 (*.f64 (PI.f64) (*.f64 l l)) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (neg.f64 (PI.f64))) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(fabs.f64 (PI.f64))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.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 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 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 (*.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 (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 #s(literal 1 binary64) #s(literal 1/3 binary64)) (PI.f64))
(*.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 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.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)) (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 #s(literal 1 binary64) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))

simplify529.0ms (3%)

Memory
-14.0MiB live, 459.1MiB allocated
Algorithm
1×egg-herbie
Rules
11 010×lower-fma.f64
11 010×lower-fma.f32
4 712×lower-*.f64
4 712×lower-*.f32
3 822×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02344262
17074236
223284086
368064076
080593980
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/ (* l (PI)) (pow F 2))
(* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (* 1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (* (pow l 2) (- (* 1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2))) (* -1/9 (/ (pow (PI) 5) (pow F 2))))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ -3 (* (pow F 2) (* l (PI))))
(* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l))
(/ (- (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 2))) (* 3 (/ 1 (* (pow F 2) (PI))))) l)
(/ (- (* -1 (/ (+ (* 27 (/ 1 (* (pow F 2) (pow (PI) 5)))) (* 81 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 7)))))) (pow l 4))) (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l)
(/ -3 (* (pow F 2) (* l (PI))))
(* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l))
(* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (+ (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))) (/ 27 (* (pow F 2) (* (pow l 4) (pow (PI) 5)))))) l))
(* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 5))))) (+ (* 81 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 7))))) (/ 9 (* (pow F 2) (* (pow l 2) (pow (PI) 3))))))) l))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* -1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (+ (* -1/9 (/ (pow (PI) 5) (pow F 2))) (* -1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2)))))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI)))))))
(* l (+ (PI) (+ (/ 3 (* (pow F 2) (* (pow l 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 4) (pow (PI) 3)))))))
(* l (+ (PI) (+ (* 9 (/ 1 (* (pow F 2) (* (pow l 4) (pow (PI) 3))))) (+ (* 27 (/ 1 (* (pow F 2) (* (pow l 6) (pow (PI) 5))))) (/ 3 (* (pow F 2) (* (pow l 2) (PI))))))))
(* l (PI))
(* -1 (* l (- (* -1 (PI)) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI))))))))
(* -1 (* l (+ (* -1 (PI)) (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) (pow l 2))))))
(* -1 (* l (- (+ (* -1 (PI)) (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 4)))) (/ 3 (* (pow F 2) (* (pow l 2) (PI)))))))
(* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (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 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (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)) (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)))
(- (PI) (/ (PI) (pow F 2)))
(- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2)))
(- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2)))
(- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2)))
(* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))
(* (pow l 2) (- (/ (PI) (pow l 2)) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))))
(* (pow l 2) (- (/ (PI) (pow l 2)) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))))
(* (pow l 2) (- (/ (PI) (pow l 2)) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))))
(* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))
(* (pow l 2) (- (/ (PI) (pow l 2)) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))))
(* (pow l 2) (- (/ (PI) (pow l 2)) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))))
(* (pow l 2) (- (/ (PI) (pow l 2)) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2))))))
(* -1 (/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2)))
(/ (- (* (pow F 2) (PI)) (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))
(/ (- (* (pow F 2) (PI)) (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))
(/ (- (* (pow F 2) (PI)) (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))
(PI)
(+ (PI) (* -1 (/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))))
(+ (PI) (* -1 (/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))))
(+ (PI) (* -1 (/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))))
(PI)
(+ (PI) (* -1 (/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))))
(+ (PI) (* -1 (/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))))
(+ (PI) (* -1 (/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))
(* (pow l 3) (- (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))) (/ (PI) (* (pow F 2) (pow l 2)))))
(* (pow l 3) (- (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))) (/ (PI) (* (pow F 2) (pow l 2)))))
(* (pow l 3) (- (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2))) (/ (PI) (* (pow F 2) (pow l 2)))))
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))
(* -1 (* (pow l 3) (+ (* -1 (/ (- (PI) (/ (PI) (pow F 2))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2))))))
(* -1 (* (pow l 3) (+ (* -1 (/ (- (PI) (/ (PI) (pow F 2))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2))))))
(* -1 (* (pow l 3) (+ (* -1 (/ (- (PI) (/ (PI) (pow F 2))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2))))))
(* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2)))
(/ (+ (* -1 (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3))))) (pow F 2))) (* l (PI)))
(/ (PI) (pow F 2))
(+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2)))
(+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2)))
(+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2)))
(* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))
(* (pow l 2) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))
(* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))
(* (pow l 2) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))
(* (pow l 2) (+ (* 1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (* (pow F 2) (pow l 2)))))
(/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))
(/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))
(/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))
(/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))
(/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))
(/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))
(/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))
(/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))
(/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))
(/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))
(/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (pow F 2))
(/ (+ (PI) (* 1/3 (* (pow l 2) (pow (PI) 3)))) (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)) (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 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(* -1 (/ (* l (PI)) F))
(/ 1 (* l (PI)))
(/ (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))) l)
(/ (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))) l)
(/ (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))) l)
(* -1/3 (* l (PI)))
(* l (+ (* -1/3 (PI)) (/ 1 (* (pow l 2) (PI)))))
(* l (+ (* -1/3 (PI)) (/ 1 (* (pow l 2) (PI)))))
(* l (+ (* -1/3 (PI)) (/ 1 (* (pow l 2) (PI)))))
(* -1/3 (* l (PI)))
(* -1 (* l (- (* 1/3 (PI)) (/ 1 (* (pow l 2) (PI))))))
(* -1 (* l (- (* 1/3 (PI)) (/ 1 (* (pow l 2) (PI))))))
(* -1 (* l (- (* 1/3 (PI)) (/ 1 (* (pow l 2) (PI))))))
(* -1/3 (* l (PI)))
(* -1/3 (* l (PI)))
(* -1/3 (* l (PI)))
(* -1/3 (* l (PI)))
(* -1/3 (* l (PI)))
(* -1/3 (* l (PI)))
(* -1/3 (* l (PI)))
(* -1/3 (* l (PI)))
(* -1/3 (* l (PI)))
(* -1/3 (* l (PI)))
(* -1/3 (* l (PI)))
(* -1/3 (* 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)) 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)
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (* (pow l 2) (PI)))
(* 1/3 (* (pow l 2) (PI)))
(* 1/3 (* (pow l 2) (PI)))
(* 1/3 (* (pow l 2) (PI)))
(* 1/3 (* (pow l 2) (PI)))
(* 1/3 (* (pow l 2) (PI)))
(* 1/3 (* (pow l 2) (PI)))
(* 1/3 (* (pow l 2) (PI)))
(* 1/3 (* (pow l 2) (PI)))
(* 1/3 (* (pow l 2) (PI)))
(* 1/3 (* (pow l 2) (PI)))
(* 1/3 (* (pow l 2) (PI)))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
Outputs
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(* l (+ (* 1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (neg.f64 (*.f64 F F)))))
(* l (+ (* (pow l 2) (- (* 1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))) (*.f64 F F)) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (neg.f64 (*.f64 F F))))))
(* l (+ (* (pow l 2) (- (* (pow l 2) (- (* 1/27 (/ (* (pow l 2) (pow (PI) 7)) (pow F 2))) (* -1/9 (/ (pow (PI) 5) (pow F 2))))) (* -1/3 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (*.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal 1/27 binary64)) (*.f64 F F)) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64))) (*.f64 F F)))) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (neg.f64 (*.f64 F F))))))
(/ -3 (* (pow F 2) (* l (PI))))
(/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64))))
(* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l))
(-.f64 (/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64)))) (/.f64 #s(literal 9 binary64) (*.f64 l (*.f64 (*.f64 F F) (*.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))))
(/ (- (* -1 (/ (+ (* 9 (/ 1 (* (pow F 2) (pow (PI) 3)))) (* 27 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 5)))))) (pow l 2))) (* 3 (/ 1 (* (pow F 2) (PI))))) l)
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(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 F F))
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(/ 1 (* l (PI)))
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(/ (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))) l)
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(*.f64 (fma.f64 (PI.f64) #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 l (*.f64 l (PI.f64))))) (neg.f64 l))
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(*.f64 (fma.f64 (PI.f64) #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 l (*.f64 l (PI.f64))))) (neg.f64 l))
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(* l (PI))
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(* l (PI))
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(/ (* l (PI)) F)
(*.f64 l (/.f64 (PI.f64) F))
(/ (* l (PI)) F)
(*.f64 l (/.f64 (PI.f64) F))
(/ (* l (PI)) F)
(*.f64 l (/.f64 (PI.f64) F))
(/ (* l (PI)) F)
(*.f64 l (/.f64 (PI.f64) F))
(/ (* l (PI)) F)
(*.f64 l (/.f64 (PI.f64) F))
(/ (* l (PI)) F)
(*.f64 l (/.f64 (PI.f64) F))
(/ (* l (PI)) F)
(*.f64 l (/.f64 (PI.f64) F))
(/ (* l (PI)) F)
(*.f64 l (/.f64 (PI.f64) F))
(/ (* l (PI)) F)
(*.f64 l (/.f64 (PI.f64) F))
(/ (* l (PI)) F)
(*.f64 l (/.f64 (PI.f64) F))
(/ (* l (PI)) F)
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(/ (* l (PI)) F)
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(/ (* l (PI)) F)
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(* 1/3 (pow l 2))
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eval774.0ms (4.5%)

Memory
-67.3MiB live, 445.7MiB allocated
Compiler

Compiled 47 315 to 6 299 computations (86.7% saved)

prune492.0ms (2.8%)

Memory
22.8MiB live, 418.8MiB allocated
Pruning

27 alts after pruning (21 fresh and 6 done)

PrunedKeptTotal
New2 038122 050
Fresh9918
Picked325
Done044
Total2 050272 077
Accuracy
99.9%
Counts
2 077 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.9%
(fma.f64 (PI.f64) l (/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F))))
79.3%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
79.9%
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
22.4%
(/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (neg.f64 l)) (*.f64 F F))
22.5%
(/.f64 (*.f64 l (neg.f64 (PI.f64))) (*.f64 F F))
23.6%
(/.f64 (neg.f64 l) (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
25.3%
(/.f64 #s(literal 1 binary64) (/.f64 F (neg.f64 (/.f64 (*.f64 l (PI.f64)) F))))
✓82.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
74.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
65.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))) F))
79.8%
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
79.3%
(-.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))))))
49.8%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64)))))
79.8%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 l (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 F F))))
51.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))))) (PI.f64)))))
78.1%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
63.0%
(-.f64 (*.f64 (PI.f64) l) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))))
25.3%
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
73.9%
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
74.0%
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
22.4%
(*.f64 l (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 F F) (PI.f64))))
✓57.3%
(*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))))
✓71.4%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
73.5%
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
22.4%
(*.f64 l (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 F F)))))
✓22.5%
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
✓74.0%
(*.f64 l (PI.f64))
Compiler

Compiled 1 463 to 542 computations (63% saved)

regimes203.0ms (1.2%)

Memory
-7.9MiB live, 145.9MiB allocated
Counts
61 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (*.f64 l (neg.f64 (PI.f64))) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 F F) (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) l) F) (/.f64 (PI.f64) F) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l (neg.f64 F))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) (neg.f64 F)))
(/.f64 #s(literal 1 binary64) (/.f64 F (neg.f64 (/.f64 (*.f64 l (PI.f64)) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F)))
(*.f64 l (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 F F)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))
(/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 F (neg.f64 F)))
(/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (neg.f64 l)) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))))
(/.f64 (neg.f64 l) (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))) F)))
(*.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))))
(fma.f64 (PI.f64) l (/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))))
(fma.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 l (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l) F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))))) (PI.f64)))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(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) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(-.f64 (*.f64 (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 (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F) (/.f64 #s(literal -1 binary64) F) (*.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 #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 (*.f64 (PI.f64) l) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))) F))
(fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 l l) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (neg.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))
(fma.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))) (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
Outputs
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
Calls

6 calls:

52.0ms
(*.f64 F F)
46.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
42.0ms
l
29.0ms
F
16.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
89.6%1F
99.5%2l
92.6%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
99.5%2(*.f64 (PI.f64) l)
89.6%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
89.6%1(*.f64 F F)
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes43.0ms (0.2%)

Memory
-1.4MiB live, 40.7MiB allocated
Counts
45 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (*.f64 l (neg.f64 (PI.f64))) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 F F) (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) l) F) (/.f64 (PI.f64) F) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l (neg.f64 F))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) (neg.f64 F)))
(/.f64 #s(literal 1 binary64) (/.f64 F (neg.f64 (/.f64 (*.f64 l (PI.f64)) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F)))
(*.f64 l (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 F F)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))
(/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 F (neg.f64 F)))
(/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (neg.f64 l)) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))))
(/.f64 (neg.f64 l) (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))) F)))
(*.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))))
(fma.f64 (PI.f64) l (/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))))
(fma.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 l (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l) F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))))) (PI.f64)))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(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))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
Calls

2 calls:

29.0ms
l
12.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
99.5%2l
99.5%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes31.0ms (0.2%)

Memory
-3.3MiB live, 35.7MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (*.f64 l (neg.f64 (PI.f64))) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 F F) (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) l) F) (/.f64 (PI.f64) F) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l (neg.f64 F))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) (neg.f64 F)))
(/.f64 #s(literal 1 binary64) (/.f64 F (neg.f64 (/.f64 (*.f64 l (PI.f64)) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F)))
(*.f64 l (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 F F)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))
(/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 F (neg.f64 F)))
(/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (neg.f64 l)) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))))
(/.f64 (neg.f64 l) (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))) F)))
(*.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))))
(fma.f64 (PI.f64) l (/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))))
(fma.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 l (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l) F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))))) (PI.f64)))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(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
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) l) F) (/.f64 (PI.f64) F) (*.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 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
Calls

2 calls:

17.0ms
l
12.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
99.5%3l
99.5%3(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes38.0ms (0.2%)

Memory
4.5MiB live, 41.1MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (*.f64 l (neg.f64 (PI.f64))) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 F F) (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) l) F) (/.f64 (PI.f64) F) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l (neg.f64 F))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) (neg.f64 F)))
(/.f64 #s(literal 1 binary64) (/.f64 F (neg.f64 (/.f64 (*.f64 l (PI.f64)) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F)))
(*.f64 l (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 F F)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))
(/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 F (neg.f64 F)))
(/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (neg.f64 l)) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))))
(/.f64 (neg.f64 l) (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))) F)))
(*.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))))
(fma.f64 (PI.f64) l (/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))))
(fma.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 l (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l) F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))))) (PI.f64)))))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
Outputs
(fma.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
(fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
Calls

2 calls:

25.0ms
l
11.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
99.5%3l
99.5%3(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes40.0ms (0.2%)

Memory
21.4MiB live, 60.1MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (*.f64 l (neg.f64 (PI.f64))) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 F F) (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) l) F) (/.f64 (PI.f64) F) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l (neg.f64 F))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) (neg.f64 F)))
(/.f64 #s(literal 1 binary64) (/.f64 F (neg.f64 (/.f64 (*.f64 l (PI.f64)) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F)))
(*.f64 l (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 F F)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))
(/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 F (neg.f64 F)))
(/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (neg.f64 l)) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))))
(/.f64 (neg.f64 l) (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))) F)))
(*.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))))
(fma.f64 (PI.f64) l (/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))))
(fma.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 l (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 (PI.f64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l) F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))))) (PI.f64)))))
Outputs
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
Calls

2 calls:

26.0ms
l
11.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
97.8%2l
97.8%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes47.0ms (0.3%)

Memory
-12.0MiB live, 44.1MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (*.f64 l (neg.f64 (PI.f64))) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 F F) (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) l) F) (/.f64 (PI.f64) F) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l (neg.f64 F))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) (neg.f64 F)))
(/.f64 #s(literal 1 binary64) (/.f64 F (neg.f64 (/.f64 (*.f64 l (PI.f64)) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F)))
(*.f64 l (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 F F)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))
(/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 F (neg.f64 F)))
(/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (neg.f64 l)) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))))
(/.f64 (neg.f64 l) (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))) F)))
(*.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))))
(fma.f64 (PI.f64) l (/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))))
(fma.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
Outputs
(fma.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
Calls

2 calls:

36.0ms
(*.f64 (PI.f64) l)
10.0ms
l
Results
AccuracySegmentsBranch
97.5%2l
97.5%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes32.0ms (0.2%)

Memory
6.9MiB live, 45.1MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (*.f64 l (neg.f64 (PI.f64))) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 F F) (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) l) F) (/.f64 (PI.f64) F) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l (neg.f64 F))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) (neg.f64 F)))
(/.f64 #s(literal 1 binary64) (/.f64 F (neg.f64 (/.f64 (*.f64 l (PI.f64)) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F)))
(*.f64 l (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 F F)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))
(/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 F (neg.f64 F)))
(/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (neg.f64 l)) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))))
(/.f64 (neg.f64 l) (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))) F)))
(*.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))))
(fma.f64 (PI.f64) l (/.f64 (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64))) (*.f64 F (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 l (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
Calls

2 calls:

21.0ms
(*.f64 (PI.f64) l)
10.0ms
l
Results
AccuracySegmentsBranch
97.3%2l
97.3%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes21.0ms (0.1%)

Memory
-4.3MiB live, 33.6MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (*.f64 l (neg.f64 (PI.f64))) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 F F) (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) l) F) (/.f64 (PI.f64) F) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l (neg.f64 F))) (neg.f64 F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (neg.f64 (PI.f64))) F) (neg.f64 F)))
(/.f64 #s(literal 1 binary64) (/.f64 F (neg.f64 (/.f64 (*.f64 l (PI.f64)) F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (neg.f64 F)))
(*.f64 l (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (neg.f64 (*.f64 F F)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))
(/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 F (neg.f64 F)))
(/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (neg.f64 l)) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 1/3 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 F F))))
(/.f64 (neg.f64 l) (*.f64 (*.f64 F F) (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))) F)))
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(*.f64 l (PI.f64))
Calls

2 calls:

11.0ms
(*.f64 (PI.f64) l)
8.0ms
l
Results
AccuracySegmentsBranch
97.3%2l
97.3%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes22.0ms (0.1%)

Memory
-19.0MiB live, 18.9MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (*.f64 l (neg.f64 (PI.f64))) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 F F) (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (PI.f64)))))
Outputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 l (PI.f64))
Calls

2 calls:

17.0ms
l
4.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
94.5%2l
94.5%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (*.f64 l (neg.f64 (PI.f64))) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (fma.f64 (PI.f64) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (neg.f64 (PI.f64)) l) (*.f64 F F)))
Outputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (PI.f64))
Calls

2 calls:

3.0ms
l
3.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
94.4%2l
94.4%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes28.0ms (0.2%)

Memory
-17.2MiB live, 25.3MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (*.f64 l (neg.f64 (PI.f64))) (*.f64 F F))
Outputs
(/.f64 (*.f64 l (neg.f64 (PI.f64))) (*.f64 F F))
(*.f64 l (PI.f64))
Calls

6 calls:

18.0ms
(/.f64 #s(literal 1 binary64) (*.f64 F F))
2.0ms
(*.f64 (PI.f64) l)
2.0ms
F
2.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
2.0ms
l
Results
AccuracySegmentsBranch
80.0%3F
80.0%3(/.f64 #s(literal 1 binary64) (*.f64 F F))
80.0%3(*.f64 F F)
85.2%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
77.2%3l
77.2%3(*.f64 (PI.f64) l)
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes2.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
Outputs
(*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (PI.f64))
Calls

1 calls:

2.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Results
AccuracySegmentsBranch
85.2%2(-.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)

regimes8.0ms (0%)

Memory
19.3MiB live, 19.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
1.0ms
(*.f64 (PI.f64) l)
1.0ms
l
1.0ms
F
1.0ms
(/.f64 #s(literal 1 binary64) (*.f64 F F))
Results
AccuracySegmentsBranch
74.0%1l
74.0%1(*.f64 (PI.f64) l)
74.0%1F
74.0%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
74.0%1(*.f64 F F)
74.0%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
1.5MiB live, 1.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2682725755018234.5
2.104071847336866e+20
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2682725755018234.5
2.104071847336866e+20
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2682725755018234.5
2.104071847336866e+20
0.0ms
7.83498198960028e-51
7.580146413120206e-48
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2682725755018234.5
2.104071847336866e+20
0.0ms
9.171948531784278e-8
6.0047834608912854e-5
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2682725755018234.5
2.104071847336866e+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
2682725755018234.5
2.104071847336866e+20
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2682725755018234.5
2.104071847336866e+20
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
17634838050182.79
383790163750769.75
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
17634838050182.79
383790163750769.75
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
17634838050182.79
383790163750769.75
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch12.0ms (0.1%)

Memory
-38.2MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.7414022311600978e-294
1.3007833076349327e-301
Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.7414022311600978e-294
1.3007833076349327e-301
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify15.0ms (0.1%)

Memory
2.1MiB live, 41.0MiB allocated
Algorithm
1×egg-herbie
Rules
78×*-commutative_binary64
54×sub-neg_binary64
52×+-commutative_binary64
44×neg-sub0_binary64
42×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087384
1145384
2207384
3257384
4284384
5290384
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) l) F) (/.f64 (PI.f64) F) (*.f64 (PI.f64) l)) (if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) (if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l))))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (fma.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 20000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 20000000000000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 20000000000000 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 -5752618031559411/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (/.f64 (*.f64 l (neg.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 -5752618031559411/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
Outputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l)) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) l) F) (/.f64 (PI.f64) F) (*.f64 (PI.f64) l)) (if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 8424983333484575/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (fma.f64 (/.f64 l (neg.f64 F)) (/.f64 (PI.f64) F) (*.f64 (PI.f64) l)) (if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (+.f64 (*.f64 (PI.f64) l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.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)))))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) (if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (fma.f64 (PI.f64) l (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) (if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 #s(literal -1/3 binary64) (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l))))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 F (*.f64 (fma.f64 l (*.f64 (*.f64 (PI.f64) l) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l))))) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (fma.f64 (/.f64 (fma.f64 l (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)) (neg.f64 F)) (/.f64 l F) (*.f64 (PI.f64) l)) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)) (*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 20000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 20000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 20000000000000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 20000000000000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 20000000000000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 20000000000000 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 -5752618031559411/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (/.f64 (*.f64 l (neg.f64 (PI.f64))) (*.f64 F F)) (*.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 -5752618031559411/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (/.f64 (*.f64 (PI.f64) l) (*.f64 F (neg.f64 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 -5752618031559411/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (*.f64 l (neg.f64 (/.f64 (PI.f64) (*.f64 F F)))) (*.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 -5752618031559411/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (*.f64 l (/.f64 (PI.f64) (*.f64 F (neg.f64 F)))) (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

soundness1.6s (9.4%)

Memory
6.6MiB live, 1 443.7MiB allocated
Rules
17 378×lower-fma.f64
17 378×lower-fma.f32
13 864×lower-fma.f64
13 864×lower-fma.f32
12 256×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01491418
14321331
214501227
369161158
085051124
044252
084213
1303198
22543198
08909195
03445857
110455603
238975192
083175067
02795193
19085027
231924783
083954634
01037
01737
17031
246731
3666931
0819131
035201
066183
1265173
22368173
08873172
035188
067154
1236132
21937132
08225132
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×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 779 to 345 computations (55.7% saved)

preprocess216.0ms (1.2%)

Memory
7.6MiB live, 327.4MiB allocated
Remove

(abs F)

Compiler

Compiled 1 404 to 498 computations (64.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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