VandenBroeck and Keller, Equation (6)

Time bar (total: 17.0s)

analyze201.0ms (1.2%)

Memory
24.6MiB live, 262.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
21.9%21.9%78%0.1%0%0%0%7
23.4%23.4%76.5%0.1%0%0%0%8
35.2%35.1%64.8%0.1%0%0%0%9
36.3%36.3%63.6%0.1%0%0%0%10
42.4%42.3%57.6%0.1%0%0%0%11
43.1%43%56.9%0.1%0%0%0%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample4.7s (27.7%)

Memory
88.4MiB live, 4 991.1MiB allocated
Samples
3.9s3 816×1valid
306.0ms4 371×0valid
179.0ms69×2valid
2.0ms4exit
Precisions
Click to see histograms. Total time spent on operations: 4.2s
ival-tan: 3.5s (84.9% of total)
ival-mult: 246.0ms (5.9% of total)
ival-pi: 163.0ms (3.9% of total)
ival-div: 91.0ms (2.2% of total)
ival-sub: 57.0ms (1.4% of total)
adjust: 55.0ms (1.3% of total)
exact: 7.0ms (0.2% of total)
ival-true: 7.0ms (0.2% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

preprocess79.0ms (0.5%)

Memory
4.9MiB live, 87.4MiB allocated
Algorithm
egg-herbie
Rules
602×times-frac
336×accelerator-lowering-fma.f32
336×accelerator-lowering-fma.f64
256×*-lowering-*.f32
256×*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02888
18374
224172
364472
4112972
5151772
6175372
7180572
8181572
01014
12312
25712
313412
421212
532412
639412
747712
858712
965812
1072612
1176212
076212
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
Outputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))))
Call 2
Inputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l))))
(- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l)))))
(neg (- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l)))))
(neg (- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l))))))
(- (* (PI) F) (* (/ 1 (* l l)) (tan (* (PI) F))))
Outputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))
(- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l))))
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))
(- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l)))))
(- (/ (tan (* (PI) l)) (* F F)) (* (PI) l))
(neg (- (* (PI) l) (* (/ 1 (* (neg F) (neg F))) (tan (* (PI) l)))))
(- (/ (tan (* (PI) l)) (* F F)) (* (PI) l))
(neg (- (* (PI) (neg l)) (* (/ 1 (* F F)) (tan (* (PI) (neg l))))))
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))
(- (* (PI) F) (* (/ 1 (* l l)) (tan (* (PI) F))))
(- (* (PI) F) (/ (tan (* (PI) F)) (* l l)))
Symmetry

(abs F)

(negabs l)

explain540.0ms (3.2%)

Memory
31.8MiB live, 692.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1280-1(2.6040077947418932e-286 14.277983181705793)(tan.f64 (*.f64 (PI.f64) l))
460-0-(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
00-0-(*.f64 (PI.f64) l)
00-0-#s(literal 1 binary64)
00-0-(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
00-0-(*.f64 F F)
01(1.7797640309903668e+161 4.0682776102828595e+170)0-(/.f64 #s(literal 1 binary64) (*.f64 F F))
00-0-l
00-0-F
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
tan.f64(tan.f64 (*.f64 (PI.f64) l))sensitivity1271
*.f64(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))n*o180
Confusion
Predicted +Predicted -
+600
-85111
Precision
0.41379310344827586
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6000
-851110
Precision?
0.410958904109589
Recall?
1.0
Freqs
test
numberfreq
0111
1145
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
197.0ms174×1valid
104.0ms58×2valid
65.0ms16×3valid
25.0ms264×0valid
Compiler

Compiled 122 to 44 computations (63.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 363.0ms
ival-tan: 303.0ms (83.6% of total)
ival-pi: 19.0ms (5.2% of total)
ival-mult: 16.0ms (4.4% of total)
adjust: 15.0ms (4.1% of total)
ival-div: 6.0ms (1.7% of total)
ival-sub: 4.0ms (1.1% of total)
exact: 1.0ms (0.3% of total)
ival-true: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify33.0ms (0.2%)

Memory
-8.9MiB live, 28.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 F F))
cost-diff0
(PI.f64)
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×accelerator-lowering-fma.f32
336×accelerator-lowering-fma.f64
256×*-lowering-*.f32
256×*-lowering-*.f64
138×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01043
12339
25739
313439
421239
532439
639439
747739
858739
965839
1072639
1176239
076239
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(* (PI) l)
(PI)
l
(* (/ 1 (* F F)) (tan (* (PI) l)))
(/ 1 (* F F))
1
(* F F)
F
(tan (* (PI) l))
Outputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))))
(* (PI) l)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(PI)
(PI.f64)
l
(* (/ 1 (* F F)) (tan (* (PI) l)))
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64)))
(/ 1 (* F F))
(/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(* F F)
(fma.f64 F F #s(literal 0 binary64))
F
(tan (* (PI) l))
(tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))

localize214.0ms (1.3%)

Memory
-3.5MiB live, 270.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 #s(literal 1 binary64) (*.f64 F F))
accuracy99.6%
(*.f64 (PI.f64) l)
accuracy82.5%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
accuracy53.0%
(tan.f64 (*.f64 (PI.f64) l))
Samples
94.0ms87×1valid
47.0ms29×2valid
37.0ms3valid
20.0ms132×0valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 184.0ms
ival-tan: 154.0ms (83.5% of total)
ival-mult: 14.0ms (7.6% of total)
ival-div: 6.0ms (3.3% of total)
ival-pi: 5.0ms (2.7% of total)
ival-sub: 3.0ms (1.6% of total)
adjust: 2.0ms (1.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
26.9MiB live, 26.9MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#<alt (* (/ 1 (* F F)) (tan (* (PI) l)))>
#<alt (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))>
#<alt (PI)>
#<alt (/ 1 (* F F))>
#<alt (tan (* (PI) l))>
#<alt (* (PI) l)>
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 (/ 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))))>
#<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

21 calls:

TimeVariablePointExpression
3.0ms
F
@0
(* (/ 1 (* F F)) (tan (* (PI) l)))
2.0ms
l
@0
(* (/ 1 (* F F)) (tan (* (PI) l)))
2.0ms
l
@inf
(* (/ 1 (* F F)) (tan (* (PI) l)))
1.0ms
l
@-inf
(* (/ 1 (* F F)) (tan (* (PI) l)))
1.0ms
l
@0
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))

rewrite600.0ms (3.5%)

Memory
-66.6MiB live, 648.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 686×accelerator-lowering-fma.f32
4 686×accelerator-lowering-fma.f64
3 978×*-lowering-*.f32
3 978×*-lowering-*.f64
2 176×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
16331
246031
3664531
0816731
Stop Event
iter limit
node limit
Counts
6 → 308
Calls
Call 1
Inputs
(* (/ 1 (* F F)) (tan (* (PI) l)))
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(PI)
(/ 1 (* F F))
(tan (* (PI) l))
(* (PI) l)
Outputs
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.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 (cos.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (-.f64 #s(literal 0 binary64) (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))
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(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
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(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (log.f64 F) #s(literal 0 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) (log.f64 F) #s(literal 0 binary64))))
(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) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (-.f64 #s(literal 0 binary64) F)))
(/.f64 (/.f64 #s(literal -1 binary64) F) (-.f64 #s(literal 0 binary64) F))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) 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))
(tan.f64 (*.f64 (PI.f64) l))
(neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (PI.f64) l)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(*.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 l (cbrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 l (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 l (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 l (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 l (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))

simplify766.0ms (4.5%)

Memory
32.8MiB live, 1 146.3MiB allocated
Algorithm
egg-herbie
Rules
17 378×accelerator-lowering-fma.f32
17 378×accelerator-lowering-fma.f64
6 854×*-lowering-*.f32
6 854×*-lowering-*.f64
2 798×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01491418
14321331
214501227
369201158
085071124
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(* l (PI))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
Outputs
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (*.f64 (*.f64 F F) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (*.f64 (*.f64 F F) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (*.f64 (*.f64 F F) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (*.f64 (*.f64 F F) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (*.f64 (*.f64 F F) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (*.f64 (*.f64 F F) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (*.f64 (*.f64 F F) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (*.f64 (*.f64 F F) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (*.f64 (*.f64 F F) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (*.f64 (*.f64 F F) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (*.f64 (*.f64 F F) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64))) (*.f64 (*.f64 F F) (cos.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)))))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 l (/.f64 (*.f64 l (*.f64 (*.f64 (PI.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 (*.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 (*.f64 (PI.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))))
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(fma.f64 l (PI.f64) #s(literal 0 binary64))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))

eval149.0ms (0.9%)

Memory
-13.4MiB live, 142.7MiB allocated
Compiler

Compiled 13 093 to 1 246 computations (90.5% saved)

prune74.0ms (0.4%)

Memory
-14.5MiB live, 115.8MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New46016476
Fresh000
Picked101
Done000
Total46116477
Accuracy
99.7%
Counts
477 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.0%
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
70.1%
(fma.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
70.3%
(fma.f64 l (PI.f64) #s(literal 0 binary64))
38.4%
(/.f64 (-.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
77.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
77.1%
(-.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))))
84.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
84.1%
(-.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)))
84.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) F)))
77.9%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
84.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))
71.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64))))
77.6%
(-.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))))
77.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l))))
38.4%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (-.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))))
71.6%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
Compiler

Compiled 604 to 356 computations (41.1% saved)

simplify76.0ms (0.4%)

Memory
18.6MiB live, 93.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (sqrt.f64 (PI.f64)))
cost-diff0
(PI.f64)
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff3968
(fma.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
cost-diff0
(PI.f64)
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-diff1024
(/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F))
cost-diff0
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
cost-diff0
(PI.f64)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
cost-diff320
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 l (PI.f64) #s(literal 0 binary64))
cost-diff0
(PI.f64)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) F)))
cost-diff128
(*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))
cost-diff704
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) F))
Rules
768×accelerator-lowering-fma.f32
768×accelerator-lowering-fma.f64
640×*-lowering-*.f32
640×*-lowering-*.f64
562×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032212
171202
2163187
3402187
4892187
51743187
61979187
72195187
82318187
92333187
102333187
02333187
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (* (PI) l) (/ (* (/ -1 F) (tan (* (PI) l))) (- 0 F)))
(* (PI) l)
(PI)
l
(/ (* (/ -1 F) (tan (* (PI) l))) (- 0 F))
(* (/ -1 F) (tan (* (PI) l)))
(/ -1 F)
-1
F
(tan (* (PI) l))
(- 0 F)
0
(+ (* l (PI)) 0)
l
(PI)
0
(- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))
(* (PI) l)
(PI)
l
(/ (/ (tan (* (PI) l)) F) F)
(/ (tan (* (PI) l)) F)
(tan (* (PI) l))
F
(- (* (PI) l) (/ (/ 1 F) (* (/ 1 (tan (* (PI) l))) F)))
(* (PI) l)
(PI)
l
(/ (/ 1 F) (* (/ 1 (tan (* (PI) l))) F))
(/ 1 F)
1
F
(* (/ 1 (tan (* (PI) l))) F)
(/ 1 (tan (* (PI) l)))
(tan (* (PI) l))
(+ (* (* (* l (sqrt (PI))) (sqrt (sqrt (PI)))) (sqrt (sqrt (PI)))) (/ (tan (* (PI) l)) (- 0 (* F F))))
(* (* l (sqrt (PI))) (sqrt (sqrt (PI))))
(* l (sqrt (PI)))
l
(sqrt (PI))
(PI)
(sqrt (sqrt (PI)))
(/ (tan (* (PI) l)) (- 0 (* F F)))
(tan (* (PI) l))
(* (PI) l)
(- 0 (* F F))
0
(* F F)
F
Outputs
(- (* (PI) l) (/ (* (/ -1 F) (tan (* (PI) l))) (- 0 F)))
(-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))))
(* (PI) l)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(PI)
(PI.f64)
l
(/ (* (/ -1 F) (tan (* (PI) l))) (- 0 F))
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64)))
(* (/ -1 F) (tan (* (PI) l)))
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) F))
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
-1
#s(literal -1 binary64)
F
(tan (* (PI) l))
(tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(- 0 F)
(-.f64 #s(literal 0 binary64) F)
0
#s(literal 0 binary64)
(+ (* l (PI)) 0)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
l
(PI)
(PI.f64)
0
#s(literal 0 binary64)
(- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))
(-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))))
(* (PI) l)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(PI)
(PI.f64)
l
(/ (/ (tan (* (PI) l)) F) F)
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64)))
(/ (tan (* (PI) l)) F)
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F)
(tan (* (PI) l))
(tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))
F
(- (* (PI) l) (/ (/ 1 F) (* (/ 1 (tan (* (PI) l))) F)))
(-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))))
(* (PI) l)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(PI)
(PI.f64)
l
(/ (/ 1 F) (* (/ 1 (tan (* (PI) l))) F))
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64)))
(/ 1 F)
(/.f64 #s(literal 1 binary64) F)
1
#s(literal 1 binary64)
F
(* (/ 1 (tan (* (PI) l))) F)
(/.f64 F (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(/ 1 (tan (* (PI) l)))
(/.f64 #s(literal 1 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(tan (* (PI) l))
(tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(+ (* (* (* l (sqrt (PI))) (sqrt (sqrt (PI)))) (sqrt (sqrt (PI)))) (/ (tan (* (PI) l)) (- 0 (* F F))))
(-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))))
(* (* l (sqrt (PI))) (sqrt (sqrt (PI))))
(fma.f64 (fma.f64 l (sqrt.f64 (PI.f64)) #s(literal 0 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 0 binary64))
(* l (sqrt (PI)))
(fma.f64 l (sqrt.f64 (PI.f64)) #s(literal 0 binary64))
l
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(sqrt (sqrt (PI)))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(/ (tan (* (PI) l)) (- 0 (* F F)))
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64))))
(tan (* (PI) l))
(tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(* (PI) l)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(- 0 (* F F))
(-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(* F F)
(fma.f64 F F #s(literal 0 binary64))
F

localize1.1s (6.4%)

Memory
-4.6MiB live, 1 502.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.2%
(sqrt.f64 (PI.f64))
accuracy98.4%
(tan.f64 (*.f64 (PI.f64) l))
accuracy93.7%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
accuracy54.6%
(PI.f64)
accuracy99.8%
(*.f64 (PI.f64) l)
accuracy99.8%
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))
accuracy98.4%
(tan.f64 (*.f64 (PI.f64) l))
accuracy54.6%
(PI.f64)
accuracy99.8%
(*.f64 (PI.f64) l)
accuracy99.8%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
accuracy98.4%
(tan.f64 (*.f64 (PI.f64) l))
accuracy54.6%
(PI.f64)
accuracy99.8%
(fma.f64 l (PI.f64) #s(literal 0 binary64))
accuracy54.6%
(PI.f64)
accuracy99.8%
(*.f64 (PI.f64) l)
accuracy99.7%
(*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))
accuracy98.4%
(tan.f64 (*.f64 (PI.f64) l))
accuracy54.6%
(PI.f64)
Samples
954.0ms120×3exit
51.0ms132×0valid
2.0ms1valid
Compiler

Compiled 223 to 34 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 968.0ms
ival-tan: 861.0ms (88.9% of total)
ival-mult: 43.0ms (4.4% of total)
ival-div: 23.0ms (2.4% of total)
adjust: 16.0ms (1.7% of total)
ival-sub: 10.0ms (1% of total)
ival-sqrt: 7.0ms (0.7% of total)
ival-add: 5.0ms (0.5% of total)
ival-pi: 2.0ms (0.2% of total)
exact: 1.0ms (0.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory
29.6MiB live, 67.4MiB allocated
Counts
18 → 312
Calls
Call 1
Inputs
#<alt (/ (* (/ -1 F) (tan (* (PI) l))) (- 0 F))>
#<alt (* (/ -1 F) (tan (* (PI) l)))>
#<alt (- (* (PI) l) (/ (* (/ -1 F) (tan (* (PI) l))) (- 0 F)))>
#<alt (PI)>
#<alt (+ (* l (PI)) 0)>
#<alt (/ (/ (tan (* (PI) l)) F) F)>
#<alt (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))>
#<alt (/ (tan (* (PI) l)) F)>
#<alt (/ (/ 1 F) (* (/ 1 (tan (* (PI) l))) F))>
#<alt (* (/ 1 (tan (* (PI) l))) F)>
#<alt (- (* (PI) l) (/ (/ 1 F) (* (/ 1 (tan (* (PI) l))) F)))>
#<alt (+ (* (* (* l (sqrt (PI))) (sqrt (sqrt (PI)))) (sqrt (sqrt (PI)))) (/ (tan (* (PI) l)) (- 0 (* F F))))>
#<alt (sqrt (PI))>
#<alt (sqrt (sqrt (PI)))>
#<alt (tan (* (PI) l))>
#<alt (* (PI) l)>
#<alt (/ 1 (tan (* (PI) l)))>
#<alt (/ (tan (* (PI) l)) (- 0 (* F F)))>
Outputs
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (* l (PI)) F))>
#<alt (* l (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))) (* -1 (/ (PI) F))))>
#<alt (* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))))))>
#<alt (* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
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#<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) (* -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))>
#<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))>
#<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))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* l (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))))))>
#<alt (* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
Calls

78 calls:

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

rewrite352.0ms (2.1%)

Memory
-17.4MiB live, 737.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 566×accelerator-lowering-fma.f32
3 566×accelerator-lowering-fma.f64
3 152×/-lowering-/.f32
3 152×/-lowering-/.f64
2 482×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032146
1221122
22515122
08688122
Stop Event
iter limit
node limit
Counts
18 → 1 033
Calls
Call 1
Inputs
(/ (* (/ -1 F) (tan (* (PI) l))) (- 0 F))
(* (/ -1 F) (tan (* (PI) l)))
(- (* (PI) l) (/ (* (/ -1 F) (tan (* (PI) l))) (- 0 F)))
(PI)
(+ (* l (PI)) 0)
(/ (/ (tan (* (PI) l)) F) F)
(- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))
(/ (tan (* (PI) l)) F)
(/ (/ 1 F) (* (/ 1 (tan (* (PI) l))) F))
(* (/ 1 (tan (* (PI) l))) F)
(- (* (PI) l) (/ (/ 1 F) (* (/ 1 (tan (* (PI) l))) F)))
(+ (* (* (* l (sqrt (PI))) (sqrt (sqrt (PI)))) (sqrt (sqrt (PI)))) (/ (tan (* (PI) l)) (- 0 (* F F))))
(sqrt (PI))
(sqrt (sqrt (PI)))
(tan (* (PI) l))
(* (PI) l)
(/ 1 (tan (* (PI) l)))
(/ (tan (* (PI) l)) (- 0 (* F F)))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 F F #s(literal 0 binary64)) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) F) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64)))))
(neg.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64))) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64)))
(/.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) F)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F) F)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 F F #s(literal 0 binary64)) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 F (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) F))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 F (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) F)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 F F #s(literal 0 binary64)) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) F)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) F) (*.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 (fma.f64 F F #s(literal 0 binary64)) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (-.f64 #s(literal 0 binary64) F) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (neg.f64 (*.f64 (fma.f64 F F #s(literal 0 binary64)) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64)))))
(/.f64 (*.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) F)) #s(literal -1 binary64)) F)
(/.f64 (*.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) F))
(/.f64 (/.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F) (fma.f64 F F #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) F))
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) F)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) F))
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F) #s(literal -1 binary64))) F)
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64)))))))
(pow.f64 (/.f64 (fma.f64 F F #s(literal 0 binary64)) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64)))))
(*.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 0 binary64))))
(*.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal -1 binary64) F))
(*.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F) (/.f64 #s(literal 1 binary64) F))
(*.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F))
(*.f64 (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 F F #s(literal 0 binary64)) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))))
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(-.f64 (/.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 1 binary64)) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (/.f64 (*.f64 (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) #s(literal 1 binary64))
(/.f64 (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(pow.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) #s(literal 1 binary64))
(*.f64 (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(*.f64 (pow.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64))) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 F (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))))
(neg.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 F F #s(literal 0 binary64)) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64))))
(/.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) F)) F)
(/.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F) (-.f64 #s(literal 0 binary64) F))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64))) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) F) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) F))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) F)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64))) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64)))) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (/.f64 (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (-.f64 #s(literal 0 binary64) F) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64)))))
(/.f64 (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64))) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (fma.f64 F F #s(literal 0 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 F (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 (pow.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64)))))))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64))) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (neg.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))))
(/.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64)))) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64))))))))
(pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64))) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 F (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) F)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64))))
(*.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64))))
(*.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal 1 binary64) F))
(*.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F) (/.f64 #s(literal -1 binary64) F))
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) F)))
(*.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 1 binary64))
(*.f64 (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64))) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))))
(*.f64 (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64))) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(*.f64 (/.f64 (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(*.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 F F #s(literal 0 binary64)) (fma.f64 (fma.f64 F F #s(literal 0 binary64)) (fma.f64 F F #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 F F #s(literal 0 binary64)) (fma.f64 F F #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 F F #s(literal 0 binary64)) (fma.f64 F F #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 F F #s(literal 0 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64))) (sin.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))

simplify740.0ms (4.3%)

Memory
26.1MiB live, 1 146.7MiB allocated
Algorithm
egg-herbie
Rules
16 704×accelerator-lowering-fma.f32
16 704×accelerator-lowering-fma.f64
5 648×*-lowering-*.f32
5 648×*-lowering-*.f64
5 438×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03296409
110236039
237365516
087715372
Stop Event
iter limit
node limit
Counts
312 → 312
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)))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (* l (PI)) F))
(* l (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))) (* -1 (/ (PI) F))))
(* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))))))
(* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* F (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))
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(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(* l (PI))
(* 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))))
(* -1 (/ (* l (PI)) (pow F 2)))
(* l (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
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 l (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 F F))) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 F F))) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (* (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 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 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 (*.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))))) (*.f64 F F)) (fma.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (/.f64 #s(literal -1/720 binary64) (*.f64 F F)) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 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 (*.f64 (PI.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)))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) F)))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) F)))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) F)))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) F)))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) F)))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) F)))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) F)))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) F)))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) F)))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) F)))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) F)))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) F)))
(* -1 (/ (* l (PI)) F))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 l (PI.f64)) F))
(* l (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))) (* -1 (/ (PI) F))))
(*.f64 l (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F) #s(literal 1/3 binary64)) l) l (/.f64 (PI.f64) F))))
(* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F))))))))
(*.f64 l (fma.f64 (*.f64 l l) (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F) #s(literal -1/3 binary64)) (*.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 #s(literal 0 binary64) (/.f64 (PI.f64) F))))
(* l (+ (* -1 (/ (PI) F)) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F) #s(literal -1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 l l)) (fma.f64 l (*.f64 l (-.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (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 (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) (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F)) (*.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F)))))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) F)))) (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) F))))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) F)))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) F)))
(* -1 (/ (sin (* l (PI))) (* F (cos (* l (PI))))))
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(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) (*.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 #s(literal 0 binary64) (*.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 #s(literal 0 binary64) (*.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 #s(literal 0 binary64) (*.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 #s(literal 0 binary64) (*.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 #s(literal 0 binary64) (*.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 #s(literal 0 binary64) (*.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 #s(literal 0 binary64) (*.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 #s(literal 0 binary64) (*.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 #s(literal 0 binary64) (*.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 #s(literal 0 binary64) (*.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 #s(literal 0 binary64) (*.f64 F F))))

eval572.0ms (3.4%)

Memory
7.7MiB live, 546.5MiB allocated
Compiler

Compiled 64 776 to 3 962 computations (93.9% saved)

prune600.0ms (3.5%)

Memory
-25.5MiB live, 432.9MiB allocated
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New2 283162 299
Fresh6511
Picked505
Done000
Total2 294212 315
Accuracy
99.8%
Counts
2 315 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.1%
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64)))))
69.8%
(fma.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 0 binary64))
36.6%
(/.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
38.4%
(/.f64 (-.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
70.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
78.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
90.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (fma.f64 (*.f64 F (*.f64 l l)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 F (PI.f64))) l)))
78.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
90.4%
(-.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)))
78.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))) F)))
78.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) F)))
61.3%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F) #s(literal 1/3 binary64)) l) l (/.f64 (PI.f64) F))) F))
72.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
77.9%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
84.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))
77.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l))))
36.6%
(*.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
70.1%
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
70.2%
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
70.3%
(*.f64 (PI.f64) l)
71.6%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
Compiler

Compiled 728 to 442 computations (39.3% saved)

simplify297.0ms (1.7%)

Memory
13.4MiB live, 520.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(tan.f64 (*.f64 (PI.f64) l))
cost-diff0
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
cost-diff0
(PI.f64)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
cost-diff0
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
cost-diff0
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
cost-diff0
(*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
cost-diff0
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
cost-diff0
(/.f64 (*.f64 l (PI.f64)) F)
cost-diff0
(PI.f64)
cost-diff384
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)
cost-diff384
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
cost-diff-64
(*.f64 (PI.f64) l)
cost-diff0
(PI.f64)
cost-diff0
(PI.f64)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (fma.f64 (*.f64 F (*.f64 l l)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 F (PI.f64))) l)))
cost-diff1024
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (fma.f64 (*.f64 F (*.f64 l l)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 F (PI.f64))) l))
cost-diff1856
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64))))
Rules
7 072×accelerator-lowering-fma.f32
7 072×accelerator-lowering-fma.f64
4 742×*-lowering-*.f32
4 742×*-lowering-*.f64
2 246×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035250
181248
2227241
3935214
42647209
57961209
08362205
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (* (PI) l) (/ (/ 1 F) (/ (+ (* (* F (* l l)) (* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))) (/ F (PI))) l)))
(* (PI) l)
(PI)
l
(/ (/ 1 F) (/ (+ (* (* F (* l l)) (* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))) (/ F (PI))) l))
(/ 1 F)
1
F
(/ (+ (* (* F (* l l)) (* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))) (/ F (PI))) l)
(+ (* (* F (* l l)) (* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))) (/ F (PI)))
(* F (* l l))
(* l l)
(* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))
(- 0 (* (PI) (* (PI) (PI))))
0
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
(/ 1/3 (* (PI) (PI)))
1/3
(/ F (PI))
(* (PI) l)
(PI)
l
(- (* (PI) l) (/ (/ (* l (PI)) F) F))
(* (PI) l)
(PI)
l
(/ (/ (* l (PI)) F) F)
(/ (* l (PI)) F)
(* l (PI))
F
(* (* l (sqrt (* (PI) (sqrt (PI))))) (sqrt (sqrt (PI))))
(* l (sqrt (* (PI) (sqrt (PI)))))
l
(sqrt (* (PI) (sqrt (PI))))
(* (PI) (sqrt (PI)))
(PI)
(sqrt (PI))
(sqrt (sqrt (PI)))
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))
(* (PI) l)
(PI)
l
(/ (tan (* (PI) l)) (* F F))
(tan (* (PI) l))
(* F F)
F
Outputs
(- (* (PI) l) (/ (/ 1 F) (/ (+ (* (* F (* l l)) (* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))) (/ F (PI))) l)))
(fma.f64 l (-.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (fma.f64 F (fma.f64 l (fma.f64 (fma.f64 (PI.f64) #s(literal -1/3 binary64) #s(literal 0 binary64)) (*.f64 l F) #s(literal 0 binary64)) (/.f64 F (PI.f64))) #s(literal 0 binary64)))) #s(literal 0 binary64))
(* (PI) l)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(PI)
(PI.f64)
l
(/ (/ 1 F) (/ (+ (* (* F (* l l)) (* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))) (/ F (PI))) l))
(/.f64 l (fma.f64 F (fma.f64 l (fma.f64 (fma.f64 (PI.f64) #s(literal -1/3 binary64) #s(literal 0 binary64)) (*.f64 l F) #s(literal 0 binary64)) (/.f64 F (PI.f64))) #s(literal 0 binary64)))
(/ 1 F)
(/.f64 #s(literal 1 binary64) F)
1
#s(literal 1 binary64)
F
(/ (+ (* (* F (* l l)) (* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))) (/ F (PI))) l)
(/.f64 (fma.f64 l (fma.f64 (fma.f64 (PI.f64) #s(literal -1/3 binary64) #s(literal 0 binary64)) (*.f64 l F) #s(literal 0 binary64)) (/.f64 F (PI.f64))) l)
(+ (* (* F (* l l)) (* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))) (/ F (PI)))
(fma.f64 l (fma.f64 (fma.f64 (PI.f64) #s(literal -1/3 binary64) #s(literal 0 binary64)) (*.f64 l F) #s(literal 0 binary64)) (/.f64 F (PI.f64)))
(* F (* l l))
(*.f64 l (*.f64 l F))
(* l l)
(*.f64 l l)
(* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))
(fma.f64 (PI.f64) #s(literal -1/3 binary64) #s(literal 0 binary64))
(- 0 (* (PI) (* (PI) (PI))))
(-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(* (PI) (* (PI) (PI)))
(fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(/ 1/3 (* (PI) (PI)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))
1/3
#s(literal 1/3 binary64)
(/ F (PI))
(/.f64 F (PI.f64))
(* (PI) l)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(PI)
(PI.f64)
l
(- (* (PI) l) (/ (/ (* l (PI)) F) F))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) #s(literal 0 binary64))
(* (PI) l)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(PI)
(PI.f64)
l
(/ (/ (* l (PI)) F) F)
(/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 F F))
(/ (* l (PI)) F)
(/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F)
(* l (PI))
(fma.f64 (PI.f64) l #s(literal 0 binary64))
F
(* (* l (sqrt (* (PI) (sqrt (PI))))) (sqrt (sqrt (PI))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(* l (sqrt (* (PI) (sqrt (PI)))))
(*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
l
(sqrt (* (PI) (sqrt (PI))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(* (PI) (sqrt (PI)))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(PI)
(PI.f64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(sqrt (sqrt (PI)))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))
(-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))
(* (PI) l)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(PI)
(PI.f64)
l
(/ (tan (* (PI) l)) (* F F))
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))
(tan (* (PI) l))
(tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(* F F)
(*.f64 F F)
F

localize371.0ms (2.2%)

Memory
-11.6MiB live, 712.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
accuracy99.6%
(*.f64 (PI.f64) l)
accuracy83.3%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
accuracy53.0%
(tan.f64 (*.f64 (PI.f64) l))
accuracy100.0%
(PI.f64)
accuracy99.9%
(*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
accuracy99.5%
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy99.8%
(/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)
accuracy99.6%
(*.f64 (PI.f64) l)
accuracy99.6%
(*.f64 l (PI.f64))
accuracy99.5%
(/.f64 (*.f64 l (PI.f64)) F)
accuracy100.0%
(PI.f64)
accuracy99.6%
(*.f64 (PI.f64) l)
accuracy99.6%
(*.f64 (PI.f64) l)
accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
accuracy89.0%
(/.f64 (fma.f64 (*.f64 F (*.f64 l l)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 F (PI.f64))) l)
accuracy88.3%
(*.f64 F (*.f64 l l))
Samples
147.0ms87×1valid
66.0ms29×2valid
37.0ms132×0valid
34.0ms3valid
Compiler

Compiled 268 to 37 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 250.0ms
ival-tan: 158.0ms (63.1% of total)
ival-mult: 40.0ms (16% of total)
ival-div: 20.0ms (8% of total)
ival-sub: 8.0ms (3.2% of total)
ival-sqrt: 8.0ms (3.2% of total)
adjust: 6.0ms (2.4% of total)
const: 6.0ms (2.4% of total)
ival-pi: 2.0ms (0.8% of total)
ival-add: 2.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series112.0ms (0.7%)

Memory
19.2MiB live, 249.8MiB allocated
Counts
20 → 276
Calls
Call 1
Inputs
#<alt (* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))>
#<alt (/ (/ 1 F) (/ (+ (* (* F (* l l)) (* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))) (/ F (PI))) l))>
#<alt (- (* (PI) l) (/ (/ 1 F) (/ (+ (* (* F (* l l)) (* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))) (/ F (PI))) l)))>
#<alt (PI)>
#<alt (* (PI) l)>
#<alt (- (* (PI) l) (/ (/ (* l (PI)) F) F))>
#<alt (/ (/ (* l (PI)) F) F)>
#<alt (/ (* l (PI)) F)>
#<alt (* (* l (sqrt (* (PI) (sqrt (PI))))) (sqrt (sqrt (PI))))>
#<alt (* l (sqrt (* (PI) (sqrt (PI)))))>
#<alt (sqrt (* (PI) (sqrt (PI))))>
#<alt (* (PI) (sqrt (PI)))>
#<alt (- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))>
#<alt (/ (tan (* (PI) l)) (* F F))>
#<alt (tan (* (PI) l))>
#<alt (* F (* l l))>
#<alt (/ (+ (* (* F (* l l)) (* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))) (/ F (PI))) l)>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (* l (PI))>
#<alt (sqrt (PI))>
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 (* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (* -1 (/ 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 (PI))>
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#<alt (* l (PI))>
#<alt (* l (PI))>
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#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
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#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
#<alt (* (pow (* 1 (pow (PI) 3)) 1/4) l)>
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#<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))))>
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#<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))))>
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#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
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#<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)) (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)))))>
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#<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)))))>
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#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* l (PI))>
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#<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))))>
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#<alt (* F (pow l 2))>
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#<alt (* F (pow l 2))>
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#<alt (* F (pow l 2))>
#<alt (* F (pow l 2))>
#<alt (* F (pow l 2))>
#<alt (* F (pow l 2))>
#<alt (* F (pow l 2))>
#<alt (* F (pow l 2))>
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#<alt (* F (pow l 2))>
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#<alt (* F (pow l 2))>
#<alt (* F (pow l 2))>
#<alt (* F (pow l 2))>
#<alt (* F (pow l 2))>
#<alt (* F (pow l 2))>
#<alt (* F (pow l 2))>
#<alt (* F (pow l 2))>
#<alt (* F (pow l 2))>
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#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (* -1 (/ (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l))>
#<alt (* -1 (/ (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l))>
#<alt (* -1 (/ (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l))>
#<alt (* -1 (/ (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l))>
#<alt (/ F (* l (PI)))>
#<alt (/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)>
#<alt (/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)>
#<alt (/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)>
#<alt (* -1/3 (* F (* l (PI))))>
#<alt (* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))>
#<alt (* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))>
#<alt (* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))>
#<alt (* -1/3 (* F (* l (PI))))>
#<alt (* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))>
#<alt (* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))>
#<alt (* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (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

69 calls:

TimeVariablePointExpression
60.0ms
l
@0
(* l (sqrt (* (PI) (sqrt (PI)))))
21.0ms
l
@0
(* F (* l l))
6.0ms
F
@0
(/ (/ 1 F) (/ (+ (* (* F (* l l)) (* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))) (/ F (PI))) l))
6.0ms
F
@-inf
(/ (/ 1 F) (/ (+ (* (* F (* l l)) (* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))) (/ F (PI))) l))
1.0ms
F
@inf
(/ (/ 1 F) (/ (+ (* (* F (* l l)) (* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))) (/ F (PI))) l))

rewrite447.0ms (2.6%)

Memory
12.4MiB live, 881.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 554×*-lowering-*.f32
5 554×*-lowering-*.f64
4 242×accelerator-lowering-fma.f32
4 242×accelerator-lowering-fma.f64
4 190×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035171
1215164
21993162
09060159
Stop Event
iter limit
node limit
Counts
20 → 491
Calls
Call 1
Inputs
(* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))
(/ (/ 1 F) (/ (+ (* (* F (* l l)) (* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))) (/ F (PI))) l))
(- (* (PI) l) (/ (/ 1 F) (/ (+ (* (* F (* l l)) (* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))) (/ F (PI))) l)))
(PI)
(* (PI) l)
(- (* (PI) l) (/ (/ (* l (PI)) F) F))
(/ (/ (* l (PI)) F) F)
(/ (* l (PI)) F)
(* (* l (sqrt (* (PI) (sqrt (PI))))) (sqrt (sqrt (PI))))
(* l (sqrt (* (PI) (sqrt (PI)))))
(sqrt (* (PI) (sqrt (PI))))
(* (PI) (sqrt (PI)))
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))
(/ (tan (* (PI) l)) (* F F))
(tan (* (PI) l))
(* F (* l l))
(/ (+ (* (* F (* l l)) (* (- 0 (* (PI) (* (PI) (PI)))) (/ 1/3 (* (PI) (PI))))) (/ F (PI))) l)
(* (PI) (* (PI) (PI)))
(* l (PI))
(sqrt (PI))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64))))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64))))
(neg.f64 (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) #s(literal 1/3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) #s(literal 1/3 binary64)) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1/3 binary64) (PI.f64))) (*.f64 (PI.f64) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1/3 binary64) (PI.f64))) (*.f64 (PI.f64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (PI.f64) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (PI.f64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (/.f64 #s(literal 1/3 binary64) (PI.f64))) (PI.f64))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)))) (PI.f64))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) #s(literal 1/3 binary64)) (PI.f64)) (PI.f64))
(pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64))) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (PI.f64)) (/.f64 #s(literal 1/3 binary64) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 F (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64))) (*.f64 l l) (/.f64 #s(literal 1 binary64) (PI.f64)))) F) l)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64))) (*.f64 l l) (/.f64 #s(literal 1 binary64) (PI.f64)))) F)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 F (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64))) (*.f64 l l) (/.f64 #s(literal 1 binary64) (PI.f64)))) F) l))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 F (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64))) (*.f64 l l) (/.f64 #s(literal 1 binary64) (PI.f64)))) F) l) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (*.f64 F (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64))) (*.f64 l l) (/.f64 #s(literal 1 binary64) (PI.f64)))) l))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) F) (/.f64 (*.f64 F (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64))) (*.f64 l l) (/.f64 #s(literal 1 binary64) (PI.f64)))) l)))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.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)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (PI.f64) l)
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 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 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) #s(literal 1/6 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))
(*.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)))))

simplify572.0ms (3.4%)

Memory
-1.8MiB live, 1 035.2MiB allocated
Algorithm
egg-herbie
Rules
16 194×accelerator-lowering-fma.f32
16 194×accelerator-lowering-fma.f64
5 872×*-lowering-*.f32
5 872×*-lowering-*.f64
4 924×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03443581
110493501
234813366
081873275
Stop Event
iter limit
node limit
Counts
276 → 276
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)))))
(* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(* -1 (/ 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))
(+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
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(* 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))
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(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
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(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
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(/ (* 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)) 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)
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(* (pow (* 1 (pow (PI) 3)) 1/4) l)
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(* (pow (* 1 (pow (PI) 3)) 1/4) l)
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
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(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(* F (pow l 2))
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(* -1 (/ (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l))
(* -1 (/ (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l))
(* -1 (/ (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l))
(* -1 (/ (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l))
(/ F (* l (PI)))
(/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)
(/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)
(/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)
(* -1/3 (* F (* l (PI))))
(* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* -1/3 (* F (* l (PI))))
(* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))
(* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))
(* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (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 F (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l 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 F (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l 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 F (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l 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 F (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l 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 F (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l 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 F (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l 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 F (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l 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 F (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(/.f64 (-.f64 #s(literal 0 binary64) l) (*.f64 (*.f64 F F) (fma.f64 (*.f64 l l) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64)))))
(* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(/.f64 (-.f64 #s(literal 0 binary64) l) (*.f64 (*.f64 F F) (fma.f64 (*.f64 l l) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64)))))
(* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(/.f64 (-.f64 #s(literal 0 binary64) l) (*.f64 (*.f64 F F) (fma.f64 (*.f64 l l) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64)))))
(* -1 (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(/.f64 (-.f64 #s(literal 0 binary64) l) (*.f64 (*.f64 F F) (fma.f64 (*.f64 l l) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64)))))
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(* l (+ (* 1/3 (/ (* (pow l 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) (- (* 1/9 (/ (* (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) (fma.f64 (*.f64 l l) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 5 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) (- (* (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) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 l l)) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 5 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))))
(/ -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 (/.f64 #s(literal -3 binary64) (*.f64 (*.f64 F F) (PI.f64))) (/.f64 #s(literal -9 binary64) (*.f64 (*.f64 F F) (*.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) 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)
(/.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 (*.f64 F F) (PI.f64))) (/.f64 (+.f64 (/.f64 #s(literal 9 binary64) (*.f64 F (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (/.f64 #s(literal 27 binary64) (*.f64 F (*.f64 F (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) l) l))))) (*.f64 l l))) 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)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal -3 binary64) (*.f64 (*.f64 F F) (PI.f64))) (/.f64 #s(literal -9 binary64) (*.f64 (*.f64 F F) (*.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) (/.f64 (+.f64 (/.f64 #s(literal 27 binary64) (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) F) F)) (/.f64 #s(literal 81 binary64) (*.f64 (*.f64 F F) (*.f64 (*.f64 l l) (pow.f64 (PI.f64) #s(literal 7 binary64)))))) (*.f64 (*.f64 l l) (*.f64 l l)))) l)
(/ -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 (/.f64 #s(literal -3 binary64) (*.f64 (*.f64 F F) (PI.f64))) (/.f64 #s(literal -9 binary64) (*.f64 (*.f64 F F) (*.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) 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))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 F F) (PI.f64))) (/.f64 #s(literal 9 binary64) (*.f64 (*.f64 F F) (*.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) (/.f64 #s(literal 27 binary64) (*.f64 (*.f64 F F) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 (*.f64 l l) (*.f64 l l)))))) (-.f64 #s(literal 0 binary64) 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))
(/.f64 (+.f64 (/.f64 #s(literal 9 binary64) (*.f64 (*.f64 F F) (*.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (+.f64 (/.f64 #s(literal 81 binary64) (*.f64 (*.f64 F F) (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (pow.f64 l #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 F F) (PI.f64))) (/.f64 #s(literal 27 binary64) (*.f64 (*.f64 F F) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 (*.f64 l l) (*.f64 l l)))))))) (-.f64 #s(literal 0 binary64) l))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F)) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (PI.f64)) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (* -1/9 (/ (* (pow l 2) (pow (PI) 5)) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/9 binary64)) (*.f64 F F))) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* 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))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (/.f64 (*.f64 (*.f64 l l) (pow.f64 (PI.f64) #s(literal 7 binary64))) (*.f64 F F)) #s(literal -1/27 binary64) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/9 binary64)) (*.f64 F F))) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI)))))))
(*.f64 l (+.f64 (PI.f64) (/.f64 #s(literal 3 binary64) (*.f64 F (*.f64 F (*.f64 (*.f64 l l) (PI.f64)))))))
(* l (+ (PI) (+ (/ 3 (* (pow F 2) (* (pow l 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 4) (pow (PI) 3)))))))
(*.f64 l (+.f64 (PI.f64) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 F (*.f64 F (*.f64 (*.f64 l l) (PI.f64))))) (/.f64 #s(literal 9 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 F F) (*.f64 (*.f64 l l) (*.f64 l l))))))))
(* 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))))))))
(*.f64 l (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 F (*.f64 F (*.f64 (*.f64 l l) (PI.f64))))) (/.f64 #s(literal 9 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 F F) (*.f64 (*.f64 l l) (*.f64 l l)))))) (+.f64 (PI.f64) (/.f64 #s(literal 27 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F (*.f64 F (pow.f64 l #s(literal 6 binary64)))))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (- (* -1 (PI)) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI))))))))
(*.f64 l (+.f64 (PI.f64) (/.f64 #s(literal 3 binary64) (*.f64 F (*.f64 F (*.f64 (*.f64 l l) (PI.f64)))))))
(* -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))))))
(*.f64 l (+.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 F F) (PI.f64))) (/.f64 #s(literal 9 binary64) (*.f64 (*.f64 F F) (*.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) (*.f64 l l))))
(* -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)))))))
(*.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 F (*.f64 F (*.f64 (*.f64 l l) (PI.f64))))) (+.f64 (PI.f64) (/.f64 (+.f64 (/.f64 #s(literal 9 binary64) (*.f64 F (*.f64 F (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (/.f64 #s(literal 27 binary64) (*.f64 F (*.f64 F (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) l) l))))) (*.f64 (*.f64 l l) (*.f64 l l))))) (-.f64 #s(literal 0 binary64) l))
(* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(/.f64 l (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 l (*.f64 F (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 l (*.f64 F (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 l (*.f64 F (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 l (*.f64 F (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 l (*.f64 F (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 l (*.f64 F (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(fma.f64 l (PI.f64) (/.f64 l (*.f64 (*.f64 F F) (fma.f64 (*.f64 l l) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64))))))
(+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(fma.f64 l (PI.f64) (/.f64 l (*.f64 (*.f64 F F) (fma.f64 (*.f64 l l) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64))))))
(+ (* l (PI)) (/ l (* (pow F 2) (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))
(fma.f64 l (PI.f64) (/.f64 l (*.f64 (*.f64 F F) (fma.f64 (*.f64 l l) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (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) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
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(*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (-.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/5040 binary64)) (*.f64 F F)) (fma.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) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 F F)) (fma.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (/.f64 #s(literal -1/720 binary64) (*.f64 F F)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 F F))))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.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))
(*.f64 l (PI.f64))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 l (*.f64 l (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/5040 binary64)) (fma.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(* F (pow l 2))
(*.f64 l (*.f64 l F))
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) l)
(* -1 (/ (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 l l) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64))) (/.f64 F l)))
(* -1 (/ (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 l l) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64))) (/.f64 F l)))
(* -1 (/ (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 l l) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64))) (/.f64 F l)))
(* -1 (/ (* F (- (* 1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 l l) (*.f64 (PI.f64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64))) (/.f64 F l)))
(/ F (* l (PI)))
(/.f64 F (*.f64 l (PI.f64)))
(/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)
(/.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) l)
(/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)
(/.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) l)
(/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)
(/.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) l)
(* -1/3 (* F (* l (PI))))
(*.f64 l (*.f64 F (*.f64 (PI.f64) #s(literal -1/3 binary64))))
(* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(*.f64 l (fma.f64 F (*.f64 (PI.f64) #s(literal -1/3 binary64)) (/.f64 F (*.f64 (*.f64 l l) (PI.f64)))))
(* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(*.f64 l (fma.f64 F (*.f64 (PI.f64) #s(literal -1/3 binary64)) (/.f64 F (*.f64 (*.f64 l l) (PI.f64)))))
(* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(*.f64 l (fma.f64 F (*.f64 (PI.f64) #s(literal -1/3 binary64)) (/.f64 F (*.f64 (*.f64 l l) (PI.f64)))))
(* -1/3 (* F (* l (PI))))
(*.f64 l (*.f64 F (*.f64 (PI.f64) #s(literal -1/3 binary64))))
(* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))
(*.f64 l (fma.f64 F (*.f64 (PI.f64) #s(literal -1/3 binary64)) (/.f64 F (*.f64 (*.f64 l l) (PI.f64)))))
(* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))
(*.f64 l (fma.f64 F (*.f64 (PI.f64) #s(literal -1/3 binary64)) (/.f64 F (*.f64 (*.f64 l l) (PI.f64)))))
(* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))
(*.f64 l (fma.f64 F (*.f64 (PI.f64) #s(literal -1/3 binary64)) (/.f64 F (*.f64 (*.f64 l 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))

eval259.0ms (1.5%)

Memory
7.1MiB live, 455.7MiB allocated
Compiler

Compiled 44 121 to 5 386 computations (87.8% saved)

prune185.0ms (1.1%)

Memory
-2.4MiB live, 433.2MiB allocated
Pruning

23 alts after pruning (18 fresh and 5 done)

PrunedKeptTotal
New1 632111 643
Fresh9716
Picked055
Done000
Total1 641231 664
Accuracy
99.8%
Counts
1 664 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.3%
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
66.4%
(fma.f64 (PI.f64) l (/.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
36.6%
(/.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
38.4%
(/.f64 (-.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
70.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
78.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
90.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (fma.f64 (*.f64 F (*.f64 l l)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 F (PI.f64))) l)))
90.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) l)))
78.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))) F)))
78.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F))
78.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
72.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
77.9%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
84.3%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 F (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64))) (*.f64 l l) (/.f64 #s(literal 1 binary64) (PI.f64)))) F) l)))
48.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64)))))
78.2%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
77.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l))))
72.1%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
36.6%
(*.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
69.8%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
70.2%
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
70.3%
(*.f64 (PI.f64) l)
71.6%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
Compiler

Compiled 699 to 417 computations (40.3% saved)

simplify250.0ms (1.5%)

Memory
-1.3MiB live, 324.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
cost-diff0
(/.f64 l F)
cost-diff0
(PI.f64)
cost-diff320
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
cost-diff384
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 F F))
cost-diff0
(/.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
cost-diff0
(PI.f64)
cost-diff384
(fma.f64 (PI.f64) l (/.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
cost-diff-64
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F 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
(PI.f64)
cost-diff64
(fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
cost-diff64
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) l)))
cost-diff1024
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) l))
Rules
7 344×accelerator-lowering-fma.f32
7 344×accelerator-lowering-fma.f64
2 696×*-lowering-*.f32
2 696×*-lowering-*.f64
1 478×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034227
183225
2201225
3507223
41217223
52746223
63937223
75717223
08143217
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (* (PI) l) (/ (/ 1 F) (/ (* F (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI)))) l)))
(* (PI) l)
(PI)
l
(/ (/ 1 F) (/ (* F (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI)))) l))
(/ 1 F)
1
F
(/ (* F (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI)))) l)
(* F (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI))))
(+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI)))
-1/3
(* (* l l) (PI))
(* l l)
(/ 1 (PI))
(* l (- (PI) (/ (PI) (* F F))))
l
(- (PI) (/ (PI) (* F F)))
(PI)
(/ (PI) (* F F))
(* F F)
F
(+ (* (PI) l) (/ (* (PI) l) (- 0 (* F F))))
(PI)
l
(/ (* (PI) l) (- 0 (* F F)))
(* (PI) l)
(- 0 (* F F))
0
(* F F)
F
(- (* (PI) l) (/ (* (PI) (/ l F)) F))
(* (PI) l)
(PI)
l
(/ (* (PI) (/ l F)) F)
(* (PI) (/ l F))
(/ l F)
F
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(sqrt (* (PI) (sqrt (PI))))
(* (PI) (sqrt (PI)))
(PI)
(sqrt (PI))
(sqrt (sqrt (PI)))
l
Outputs
(- (* (PI) l) (/ (/ 1 F) (/ (* F (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI)))) l)))
(fma.f64 (PI.f64) l (/.f64 l (fma.f64 (fma.f64 F F #s(literal 0 binary64)) (fma.f64 l (fma.f64 l (fma.f64 (PI.f64) #s(literal 1/3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64))) #s(literal 0 binary64))))
(* (PI) l)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(PI)
(PI.f64)
l
(/ (/ 1 F) (/ (* F (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI)))) l))
(/.f64 l (fma.f64 (fma.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 F F #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 F)
(/.f64 #s(literal 1 binary64) F)
1
#s(literal 1 binary64)
F
(/ (* F (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI)))) l)
(fma.f64 (fma.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l) #s(literal 0 binary64))
(* F (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI))))
(fma.f64 F (fma.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 0 binary64))
(+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI)))
(fma.f64 (PI.f64) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal 1 binary64) (PI.f64)))
-1/3
#s(literal -1/3 binary64)
(* (* l l) (PI))
(fma.f64 (PI.f64) (*.f64 l l) #s(literal 0 binary64))
(* l l)
(*.f64 l l)
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
(* l (- (PI) (/ (PI) (* F F))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
l
(- (PI) (/ (PI) (* F F)))
(-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(PI)
(PI.f64)
(/ (PI) (* F F))
(/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))
(* F F)
(fma.f64 F F #s(literal 0 binary64))
F
(+ (* (PI) l) (/ (* (PI) l) (- 0 (* F F))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(PI)
(PI.f64)
l
(/ (* (PI) l) (- 0 (* F F)))
(fma.f64 (PI.f64) (/.f64 l (fma.f64 F (-.f64 #s(literal 0 binary64) F) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (PI) l)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(- 0 (* F F))
(fma.f64 F (-.f64 #s(literal 0 binary64) F) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* F F)
(fma.f64 F F #s(literal 0 binary64))
F
(- (* (PI) l) (/ (* (PI) (/ l F)) F))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* (PI) l)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(PI)
(PI.f64)
l
(/ (* (PI) (/ l F)) F)
(fma.f64 (PI.f64) (/.f64 l (fma.f64 F F #s(literal 0 binary64))) #s(literal 0 binary64))
(* (PI) (/ l F))
(fma.f64 l (/.f64 (PI.f64) F) #s(literal 0 binary64))
(/ l F)
(/.f64 l F)
F
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) (sqrt.f64 (PI.f64)) #s(literal 0 binary64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) (sqrt.f64 (PI.f64)) #s(literal 0 binary64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt (* (PI) (sqrt (PI))))
(sqrt.f64 (fma.f64 (PI.f64) (sqrt.f64 (PI.f64)) #s(literal 0 binary64)))
(* (PI) (sqrt (PI)))
(fma.f64 (PI.f64) (sqrt.f64 (PI.f64)) #s(literal 0 binary64))
(PI)
(PI.f64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(sqrt (sqrt (PI)))
(sqrt.f64 (sqrt.f64 (PI.f64)))
l

localize115.0ms (0.7%)

Memory
18.3MiB live, 211.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(PI.f64)
accuracy99.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
accuracy98.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy100.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
accuracy99.8%
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
accuracy99.6%
(*.f64 (PI.f64) l)
accuracy99.5%
(*.f64 (PI.f64) (/.f64 l F))
accuracy100.0%
(PI.f64)
accuracy99.8%
(fma.f64 (PI.f64) l (/.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
accuracy99.6%
(*.f64 (PI.f64) l)
accuracy87.6%
(/.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
accuracy100.0%
(PI.f64)
accuracy100.0%
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
accuracy99.7%
(/.f64 (PI.f64) (*.f64 F F))
accuracy93.1%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
accuracy99.7%
(*.f64 (*.f64 l l) (PI.f64))
accuracy99.6%
(*.f64 (PI.f64) l)
accuracy93.7%
(*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64))))
accuracy89.0%
(/.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) l)
Samples
70.0ms256×0valid
Compiler

Compiled 231 to 36 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 16.0ms (31.1% of total)
ival-div: 14.0ms (27.2% of total)
ival-add: 6.0ms (11.7% of total)
ival-sqrt: 5.0ms (9.7% of total)
const: 5.0ms (9.7% of total)
ival-sub: 4.0ms (7.8% of total)
ival-pi: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.1%)

Memory
-0.5MiB live, 38.2MiB allocated
Counts
22 → 348
Calls
Call 1
Inputs
#<alt (/ (/ 1 F) (/ (* F (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI)))) l))>
#<alt (- (* (PI) l) (/ (/ 1 F) (/ (* F (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI)))) l)))>
#<alt (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI)))>
#<alt (PI)>
#<alt (- (PI) (/ (PI) (* F F)))>
#<alt (/ (PI) (* F F))>
#<alt (* l (- (PI) (/ (PI) (* F F))))>
#<alt (+ (* (PI) l) (/ (* (PI) l) (- 0 (* F F))))>
#<alt (/ (* (PI) l) (- 0 (* F F)))>
#<alt (- 0 (* F F))>
#<alt (- (* (PI) l) (/ (* (PI) (/ l F)) F))>
#<alt (/ (* (PI) (/ l F)) F)>
#<alt (/ l F)>
#<alt (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)>
#<alt (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))>
#<alt (sqrt (* (PI) (sqrt (PI))))>
#<alt (/ (* F (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI)))) l)>
#<alt (* F (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI))))>
#<alt (* (PI) l)>
#<alt (* (* l l) (PI))>
#<alt (* (PI) (/ l F))>
#<alt (sqrt (PI))>
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))))>
#<alt (* 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))))>
#<alt (/ -3 (* (pow F 2) (* l (PI))))>
#<alt (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l))>
#<alt (/ (- (* -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)>
#<alt (/ (- (* -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)>
#<alt (/ -3 (* (pow F 2) (* l (PI))))>
#<alt (* -1 (/ (+ (* 3 (/ 1 (* (pow F 2) (PI)))) (* 9 (/ 1 (* (pow F 2) (* (pow l 2) (pow (PI) 3)))))) l))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))) (/ (PI) (pow F 2))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI)))))))>
#<alt (* l (+ (PI) (+ (/ 3 (* (pow F 2) (* (pow l 2) (PI)))) (/ 9 (* (pow F 2) (* (pow l 4) (pow (PI) 3)))))))>
#<alt (* 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))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (- (* -1 (PI)) (* 3 (/ 1 (* (pow F 2) (* (pow l 2) (PI))))))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ l (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))) (* l (PI)))>
#<alt (/ 1 (PI))>
#<alt (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))>
#<alt (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))>
#<alt (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))>
#<alt (* -1/3 (* (pow l 2) (PI)))>
#<alt (* (pow l 2) (+ (* -1/3 (PI)) (/ 1 (* (pow l 2) (PI)))))>
#<alt (* (pow l 2) (+ (* -1/3 (PI)) (/ 1 (* (pow l 2) (PI)))))>
#<alt (* (pow l 2) (+ (* -1/3 (PI)) (/ 1 (* (pow l 2) (PI)))))>
#<alt (* -1/3 (* (pow l 2) (PI)))>
#<alt (* (pow l 2) (+ (* -1/3 (PI)) (/ 1 (* (pow l 2) (PI)))))>
#<alt (* (pow l 2) (+ (* -1/3 (PI)) (/ 1 (* (pow l 2) (PI)))))>
#<alt (* (pow l 2) (+ (* -1/3 (PI)) (/ 1 (* (pow l 2) (PI)))))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))>
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))>
#<alt (/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))>
#<alt (PI)>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (PI)>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (+ (PI) (* -1 (/ (PI) (pow F 2))))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* -1 (pow F 2))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<alt (/ l F)>
#<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 (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)>
#<alt (/ F (* l (PI)))>
#<alt (/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)>
#<alt (/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)>
#<alt (/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)>
#<alt (* -1/3 (* F (* l (PI))))>
#<alt (* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))>
#<alt (* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))>
#<alt (* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))>
#<alt (* -1/3 (* F (* l (PI))))>
#<alt (* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))>
#<alt (* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))>
#<alt (* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))>
#<alt (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))>
#<alt (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))>
#<alt (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))>
#<alt (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))>
#<alt (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))>
#<alt (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))>
#<alt (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))>
#<alt (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))>
#<alt (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))>
#<alt (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))>
#<alt (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))>
#<alt (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))>
#<alt (/ F (PI))>
#<alt (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI)))>
#<alt (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI)))>
#<alt (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI)))>
#<alt (* -1/3 (* F (* (pow l 2) (PI))))>
#<alt (* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))>
#<alt (* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))>
#<alt (* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))>
#<alt (* -1/3 (* F (* (pow l 2) (PI))))>
#<alt (* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))>
#<alt (* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))>
#<alt (* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (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))>
#<alt (* (pow l 2) (PI))>
#<alt (* (pow l 2) (PI))>
#<alt (* (pow l 2) (PI))>
#<alt (* (pow l 2) (PI))>
#<alt (* (pow l 2) (PI))>
#<alt (* (pow l 2) (PI))>
#<alt (* (pow l 2) (PI))>
#<alt (* (pow l 2) (PI))>
#<alt (* (pow l 2) (PI))>
#<alt (* (pow l 2) (PI))>
#<alt (* (pow l 2) (PI))>
#<alt (* (pow l 2) (PI))>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
#<alt (/ (* l (PI)) F)>
Calls

87 calls:

TimeVariablePointExpression
3.0ms
l
@0
(* l (- (PI) (/ (PI) (* F F))))
1.0ms
F
@0
(/ (/ 1 F) (/ (* F (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI)))) l))
0.0ms
F
@0
(/ (* F (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI)))) l)
0.0ms
F
@inf
(/ (/ 1 F) (/ (* F (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI)))) l))
0.0ms
l
@inf
(/ (* F (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI)))) l)

rewrite364.0ms (2.1%)

Memory
-17.5MiB live, 649.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 048×*-lowering-*.f32
5 048×*-lowering-*.f64
4 356×accelerator-lowering-fma.f32
4 356×accelerator-lowering-fma.f64
3 464×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034181
1223160
22106159
08340154
Stop Event
iter limit
node limit
Counts
22 → 840
Calls
Call 1
Inputs
(/ (/ 1 F) (/ (* F (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI)))) l))
(- (* (PI) l) (/ (/ 1 F) (/ (* F (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI)))) l)))
(+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI)))
(PI)
(- (PI) (/ (PI) (* F F)))
(/ (PI) (* F F))
(* l (- (PI) (/ (PI) (* F F))))
(+ (* (PI) l) (/ (* (PI) l) (- 0 (* F F))))
(/ (* (PI) l) (- 0 (* F F)))
(- 0 (* F F))
(- (* (PI) l) (/ (* (PI) (/ l F)) F))
(/ (* (PI) (/ l F)) F)
(/ l F)
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(sqrt (* (PI) (sqrt (PI))))
(/ (* F (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI)))) l)
(* F (+ (* -1/3 (* (* l l) (PI))) (/ 1 (PI))))
(* (PI) l)
(* (* l l) (PI))
(* (PI) (/ l F))
(sqrt (PI))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 F (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))) F)) (-.f64 #s(literal 0 binary64) l)))
(/.f64 #s(literal 1 binary64) (*.f64 F (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.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 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))
(/.f64 (/.f64 l F) (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) F) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.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 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)) (-.f64 #s(literal 0 binary64) F)))
(/.f64 (/.f64 #s(literal -1 binary64) F) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l))))
(/.f64 (/.f64 l (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))) F)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 F F #s(literal 0 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) l))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))) F)) (/.f64 #s(literal 1 binary64) l))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 l (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))))) (-.f64 #s(literal 0 binary64) F))
(pow.f64 (*.f64 F (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.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 #s(literal -1/3 binary64) (*.f64 l (*.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) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64)))) F))))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 l (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
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simplify676.0ms (4%)

Memory
-18.6MiB live, 787.3MiB allocated
Algorithm
egg-herbie
Rules
11 446×accelerator-lowering-fma.f32
11 446×accelerator-lowering-fma.f64
6 206×*-lowering-*.f32
6 206×*-lowering-*.f64
2 896×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02233369
16883367
221673287
367583276
086333189
Stop Event
iter limit
node limit
Counts
348 → 348
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)))
(/ 1 (PI))
(+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))
(+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))
(+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))
(* -1/3 (* (pow l 2) (PI)))
(* (pow l 2) (+ (* -1/3 (PI)) (/ 1 (* (pow l 2) (PI)))))
(* (pow l 2) (+ (* -1/3 (PI)) (/ 1 (* (pow l 2) (PI)))))
(* (pow l 2) (+ (* -1/3 (PI)) (/ 1 (* (pow l 2) (PI)))))
(* -1/3 (* (pow l 2) (PI)))
(* (pow l 2) (+ (* -1/3 (PI)) (/ 1 (* (pow l 2) (PI)))))
(* (pow l 2) (+ (* -1/3 (PI)) (/ 1 (* (pow l 2) (PI)))))
(* (pow l 2) (+ (* -1/3 (PI)) (/ 1 (* (pow l 2) (PI)))))
(* -1 (/ (PI) (pow F 2)))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(PI)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(PI)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(/ (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) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* -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 (pow F 2))
(* -1 (pow F 2))
(* -1 (pow F 2))
(* -1 (pow F 2))
(* -1 (pow F 2))
(* -1 (pow F 2))
(* -1 (pow F 2))
(* -1 (pow F 2))
(* -1 (pow F 2))
(* -1 (pow F 2))
(* -1 (pow F 2))
(* -1 (pow F 2))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(/ l F)
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ (* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))) l)
(/ F (* l (PI)))
(/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)
(/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)
(/ (+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI))) l)
(* -1/3 (* F (* l (PI))))
(* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* -1/3 (* F (* l (PI))))
(* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))
(* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))
(* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(/ F (PI))
(+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI)))
(+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI)))
(+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI)))
(* -1/3 (* F (* (pow l 2) (PI))))
(* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* -1/3 (* F (* (pow l 2) (PI))))
(* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (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))
(* (pow l 2) (PI))
(* (pow l 2) (PI))
(* (pow l 2) (PI))
(* (pow l 2) (PI))
(* (pow l 2) (PI))
(* (pow l 2) (PI))
(* (pow l 2) (PI))
(* (pow l 2) (PI))
(* (pow l 2) (PI))
(* (pow l 2) (PI))
(* (pow l 2) (PI))
(* (pow l 2) (PI))
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
Outputs
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 F (*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 F (*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 F (*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 F (*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 F (*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 F (*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 F (*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 F (*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 F (*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 F (*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
(/.f64 l (*.f64 F (*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
(/ l (* (pow F 2) (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI)))))
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(/ (* l (PI)) (pow F 2))
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(fma.f64 l (*.f64 F (*.f64 #s(literal -1/3 binary64) (PI.f64))) (*.f64 #s(literal 1 binary64) (/.f64 F (fma.f64 l (PI.f64) #s(literal 0 binary64)))))
(* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(fma.f64 l (*.f64 F (*.f64 #s(literal -1/3 binary64) (PI.f64))) (*.f64 #s(literal 1 binary64) (/.f64 F (fma.f64 l (PI.f64) #s(literal 0 binary64)))))
(* l (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(fma.f64 l (*.f64 F (*.f64 #s(literal -1/3 binary64) (PI.f64))) (*.f64 #s(literal 1 binary64) (/.f64 F (fma.f64 l (PI.f64) #s(literal 0 binary64)))))
(* -1/3 (* F (* l (PI))))
(*.f64 l (*.f64 F (*.f64 #s(literal -1/3 binary64) (PI.f64))))
(* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))
(fma.f64 l (*.f64 F (*.f64 #s(literal -1/3 binary64) (PI.f64))) (*.f64 #s(literal 1 binary64) (/.f64 F (fma.f64 l (PI.f64) #s(literal 0 binary64)))))
(* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))
(fma.f64 l (*.f64 F (*.f64 #s(literal -1/3 binary64) (PI.f64))) (*.f64 #s(literal 1 binary64) (/.f64 F (fma.f64 l (PI.f64) #s(literal 0 binary64)))))
(* -1 (* l (+ (* -1 (/ F (* (pow l 2) (PI)))) (* 1/3 (* F (PI))))))
(fma.f64 l (*.f64 F (*.f64 #s(literal -1/3 binary64) (PI.f64))) (*.f64 #s(literal 1 binary64) (/.f64 F (fma.f64 l (PI.f64) #s(literal 0 binary64)))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* F (+ (* -1/3 (* (pow l 2) (PI))) (/ 1 (PI))))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(/ F (PI))
(/.f64 F (PI.f64))
(+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI)))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI)))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(+ (* -1/3 (* F (* (pow l 2) (PI)))) (/ F (PI)))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* -1/3 (* F (* (pow l 2) (PI))))
(*.f64 F (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64))))
(* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* -1/3 (* F (* (pow l 2) (PI))))
(*.f64 F (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64))))
(* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* (pow l 2) (+ (* -1/3 (* F (PI))) (/ F (* (pow l 2) (PI)))))
(*.f64 F (fma.f64 l (*.f64 l (*.f64 #s(literal -1/3 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(* (pow l 2) (PI))
(*.f64 (*.f64 l l) (PI.f64))
(* (pow l 2) (PI))
(*.f64 (*.f64 l l) (PI.f64))
(* (pow l 2) (PI))
(*.f64 (*.f64 l l) (PI.f64))
(* (pow l 2) (PI))
(*.f64 (*.f64 l l) (PI.f64))
(* (pow l 2) (PI))
(*.f64 (*.f64 l l) (PI.f64))
(* (pow l 2) (PI))
(*.f64 (*.f64 l l) (PI.f64))
(* (pow l 2) (PI))
(*.f64 (*.f64 l l) (PI.f64))
(* (pow l 2) (PI))
(*.f64 (*.f64 l l) (PI.f64))
(* (pow l 2) (PI))
(*.f64 (*.f64 l l) (PI.f64))
(* (pow l 2) (PI))
(*.f64 (*.f64 l l) (PI.f64))
(* (pow l 2) (PI))
(*.f64 (*.f64 l l) (PI.f64))
(* (pow l 2) (PI))
(*.f64 (*.f64 l l) (PI.f64))
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)
(/ (* l (PI)) F)
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) F)

eval250.0ms (1.5%)

Memory
-2.8MiB live, 555.8MiB allocated
Compiler

Compiled 38 618 to 4 313 computations (88.8% saved)

prune190.0ms (1.1%)

Memory
2.4MiB live, 488.8MiB allocated
Pruning

23 alts after pruning (16 fresh and 7 done)

PrunedKeptTotal
New1 82891 837
Fresh6713
Picked235
Done145
Total1 837231 860
Accuracy
99.8%
Counts
1 860 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.6%
(/.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
18.4%
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
38.4%
(/.f64 (-.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
70.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
78.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
78.3%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
78.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 F (PI.f64)) l)))
78.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
77.9%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
83.9%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 F (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
48.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64)))))
78.2%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
77.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l))))
36.6%
(*.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
69.8%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
70.2%
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
71.6%
(*.f64 (PI.f64) (fma.f64 l (/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64))) l))
72.1%
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
70.3%
(*.f64 (PI.f64) l)
71.5%
(*.f64 l (/.f64 (fma.f64 (neg.f64 (/.f64 (PI.f64) F)) #s(literal 1 binary64) (*.f64 F (PI.f64))) F))
17.9%
(*.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
71.6%
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
71.6%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
Compiler

Compiled 1 129 to 400 computations (64.6% saved)

regimes98.0ms (0.6%)

Memory
-8.5MiB live, 107.9MiB allocated
Counts
53 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) l)
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(*.f64 (PI.f64) (fma.f64 l (/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64))) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64)))))
(/.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(*.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(*.f64 l (/.f64 (fma.f64 (neg.f64 (/.f64 (PI.f64) F)) #s(literal 1 binary64) (*.f64 F (PI.f64))) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (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 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 F (PI.f64)) l)))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
(fma.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 0 binary64))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 F (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F) #s(literal 1/3 binary64)) l) l (/.f64 (PI.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 #s(literal 1 binary64) F) (/.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) l)))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 F (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64))) (*.f64 l l) (/.f64 #s(literal 1 binary64) (PI.f64)))) F) l)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (fma.f64 (*.f64 F (*.f64 l l)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 F (PI.f64))) l)))
(-.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 (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))) (-.f64 #s(literal 0 binary64) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (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)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 F F #s(literal 0 binary64)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(fma.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(/.f64 (-.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (-.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l))) (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) F)))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
Calls

6 calls:

26.0ms
(*.f64 (PI.f64) l)
16.0ms
F
14.0ms
(*.f64 F F)
14.0ms
l
13.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Results
AccuracySegmentsBranch
90.5%1F
99.3%2l
92.9%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
99.3%2(*.f64 (PI.f64) l)
90.5%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
90.5%1(*.f64 F F)
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes26.0ms (0.2%)

Memory
7.8MiB live, 45.4MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) l)
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(*.f64 (PI.f64) (fma.f64 l (/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64))) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64)))))
(/.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(*.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(*.f64 l (/.f64 (fma.f64 (neg.f64 (/.f64 (PI.f64) F)) #s(literal 1 binary64) (*.f64 F (PI.f64))) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (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 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 F (PI.f64)) l)))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
(fma.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 0 binary64))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 F (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F) #s(literal 1/3 binary64)) l) l (/.f64 (PI.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 #s(literal 1 binary64) F) (/.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) l)))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 F (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64))) (*.f64 l l) (/.f64 #s(literal 1 binary64) (PI.f64)))) F) l)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (fma.f64 (*.f64 F (*.f64 l l)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 F (PI.f64))) l)))
(-.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 (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))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
Calls

2 calls:

13.0ms
l
11.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
99.3%2l
99.3%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes24.0ms (0.1%)

Memory
5.4MiB live, 44.2MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) l)
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(*.f64 (PI.f64) (fma.f64 l (/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64))) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64)))))
(/.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(*.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(*.f64 l (/.f64 (fma.f64 (neg.f64 (/.f64 (PI.f64) F)) #s(literal 1 binary64) (*.f64 F (PI.f64))) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (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 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 F (PI.f64)) l)))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
(fma.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 0 binary64))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (*.f64 F (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 F l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) F) #s(literal 1/3 binary64)) l) l (/.f64 (PI.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 #s(literal 1 binary64) F) (/.f64 (*.f64 F (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 l l) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))) l)))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (/.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 F (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64))) (*.f64 l l) (/.f64 #s(literal 1 binary64) (PI.f64)))) F) l)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (fma.f64 (*.f64 F (*.f64 l l)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 F (PI.f64))) l)))
(-.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 (PI.f64) l))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
Calls

2 calls:

12.0ms
(*.f64 (PI.f64) l)
11.0ms
l
Results
AccuracySegmentsBranch
98.4%2l
98.4%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes17.0ms (0.1%)

Memory
-7.5MiB live, 30.8MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) l)
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(*.f64 (PI.f64) (fma.f64 l (/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64))) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64)))))
(/.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(*.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(*.f64 l (/.f64 (fma.f64 (neg.f64 (/.f64 (PI.f64) F)) #s(literal 1 binary64) (*.f64 F (PI.f64))) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (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 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 F (PI.f64)) l)))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(*.f64 (PI.f64) l)
Calls

2 calls:

9.0ms
(*.f64 (PI.f64) l)
8.0ms
l
Results
AccuracySegmentsBranch
98.4%2l
98.4%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes19.0ms (0.1%)

Memory
-26.7MiB live, 25.3MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) l)
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(*.f64 (PI.f64) (fma.f64 l (/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64))) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64)))))
(/.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 (PI.f64) F) l) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(*.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(*.f64 l (/.f64 (fma.f64 (neg.f64 (/.f64 (PI.f64) F)) #s(literal 1 binary64) (*.f64 F (PI.f64))) F))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) F))
(*.f64 (PI.f64) l)
Calls

2 calls:

12.0ms
l
6.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
98.4%2l
98.4%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.1%)

Memory
18.7MiB live, 18.7MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) l)
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(*.f64 (PI.f64) (fma.f64 l (/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64))) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64)))))
(/.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
Outputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 (PI.f64) l)
Calls

2 calls:

5.0ms
(*.f64 (PI.f64) l)
5.0ms
l
Results
AccuracySegmentsBranch
98.4%2l
98.4%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes16.0ms (0.1%)

Memory
-12.6MiB live, 26.1MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) l)
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/.f64 (fma.f64 l (PI.f64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 F F)))
(*.f64 (PI.f64) (fma.f64 l (/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64))) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (PI.f64) l) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -3 binary64) (*.f64 l (*.f64 (*.f64 F F) (PI.f64)))))
(/.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64))))
Outputs
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (PI.f64) l)
Calls

3 calls:

5.0ms
(*.f64 (PI.f64) l)
5.0ms
l
5.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Results
AccuracySegmentsBranch
83.4%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
92.2%2l
92.2%2(*.f64 (PI.f64) l)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
19.5MiB live, 19.5MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 (PI.f64) l)
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
Outputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) l)
Calls

5 calls:

2.0ms
(*.f64 (PI.f64) l)
2.0ms
l
2.0ms
F
2.0ms
(*.f64 F F)
2.0ms
(/.f64 #s(literal 1 binary64) (*.f64 F F))
Results
AccuracySegmentsBranch
76.1%2(/.f64 #s(literal 1 binary64) (*.f64 F F))
76.1%2(*.f64 F F)
78.4%3F
91.8%2l
91.8%2(*.f64 (PI.f64) l)
Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes10.0ms (0.1%)

Memory
-20.2MiB live, 18.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) l)
(fma.f64 l (PI.f64) #s(literal 0 binary64))
Outputs
(*.f64 (PI.f64) l)
Calls

6 calls:

2.0ms
F
1.0ms
(*.f64 (PI.f64) l)
1.0ms
l
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 #s(literal 1 binary64) (*.f64 F F))
Results
AccuracySegmentsBranch
70.3%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
70.3%1(*.f64 F F)
70.3%1F
70.3%1(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
70.3%1l
70.3%1(*.f64 (PI.f64) l)
Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.4808127521290174e+31
1.043620184536398e+32
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.4808127521290174e+31
1.043620184536398e+32
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.4808127521290174e+31
1.043620184536398e+32
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
348137129068093.2
2.4808127521290174e+31
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
348137129068093.2
2.4808127521290174e+31
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
348137129068093.2
2.4808127521290174e+31
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
348137129068093.2
2.4808127521290174e+31
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
348137129068093.2
2.4808127521290174e+31
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify43.0ms (0.3%)

Memory
11.4MiB live, 51.8MiB allocated
Algorithm
egg-herbie
Rules
346×distribute-lft-neg-in_binary64
216×neg-mul-1_binary64
188×neg-sub0_binary64
146×cancel-sign-sub_binary64
130×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051188
180188
2134187
3202187
4291187
5437187
6568187
7647187
8784187
9884187
10990187
111077187
121108187
131111187
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 39999999999999998543585179860992 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) F))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 39999999999999998543585179860992 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 39999999999999998543585179860992 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F)) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F)) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000000000 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 500000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000000000 binary64)) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000000000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
Outputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 39999999999999998543585179860992 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) F))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 39999999999999998543585179860992 binary64)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 (PI.f64) l))) F)) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 39999999999999998543585179860992 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 39999999999999998543585179860992 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F)) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F)) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000000000 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 500000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 l F) (/.f64 (PI.f64) F))) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000000000 binary64)) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000000000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)

soundness1.6s (9.3%)

Memory
-8.3MiB live, 1 259.6MiB allocated
Rules
17 378×accelerator-lowering-fma.f32
17 378×accelerator-lowering-fma.f64
16 704×accelerator-lowering-fma.f32
16 704×accelerator-lowering-fma.f64
16 194×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01491418
14321331
214501227
369201158
085071124
01037
16331
246031
3664531
0816731
032146
1221122
22515122
08688122
03443581
110493501
234813366
081873275
035171
1215164
21993162
09060159
02233369
16883367
221673287
367583276
086333189
03296409
110236039
237365516
087715372
034181
1223160
22106159
08340154
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 563 to 298 computations (47.1% saved)

preprocess196.0ms (1.2%)

Memory
8.8MiB live, 199.2MiB allocated
Remove

(abs F)

Compiler

Compiled 608 to 232 computations (61.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...