VandenBroeck and Keller, Equation (6)

Time bar (total: 17.4s)

analyze213.0ms (1.2%)

Memory
49.1MiB live, 307.5MiB 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 (26.8%)

Memory
100.5MiB live, 4 751.5MiB allocated
Samples
3.9s3 810×1valid
347.0ms4 382×0valid
148.0ms64×2valid
1.0ms4exit
Precisions
Click to see histograms. Total time spent on operations: 4.1s
ival-tan: 3.2s (79.3% of total)
ival-mult: 329.0ms (8.1% of total)
ival-div: 321.0ms (7.9% of total)
ival-pi: 66.0ms (1.6% of total)
adjust: 58.0ms (1.4% of total)
ival-sub: 54.0ms (1.3% of total)
exact: 8.0ms (0.2% of total)
ival-true: 6.0ms (0.1% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

preprocess73.0ms (0.4%)

Memory
-5.0MiB live, 77.5MiB 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)

explain508.0ms (2.9%)

Memory
16.9MiB live, 684.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1310-0-(tan.f64 (*.f64 (PI.f64) l))
480-0-(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
20-0-(/.f64 #s(literal 1 binary64) (*.f64 F F))
00-0-(*.f64 (PI.f64) l)
00-0-#s(literal 1 binary64)
00-0-(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
00-0-(*.f64 F F)
00-0-l
00-0-F
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
tan.f64(tan.f64 (*.f64 (PI.f64) l))sensitivity1310
*.f64(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))n*o120
Confusion
Predicted +Predicted -
+670
-76113
Precision
0.46853146853146854
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6700
-760113
Precision?
0.46853146853146854
Recall?
1.0
Freqs
test
numberfreq
0113
1143
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
151.0ms78×2valid
128.0ms152×1valid
100.0ms24×3valid
20.0ms258×0valid
Compiler

Compiled 122 to 44 computations (63.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 375.0ms
ival-tan: 339.0ms (90.4% of total)
ival-mult: 17.0ms (4.5% of total)
adjust: 5.0ms (1.3% of total)
ival-div: 5.0ms (1.3% of total)
ival-pi: 4.0ms (1.1% of total)
ival-sub: 4.0ms (1.1% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.2%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify33.0ms (0.2%)

Memory
11.6MiB live, 49.8MiB 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)))

localize232.0ms (1.3%)

Memory
-4.9MiB live, 358.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 F F))
accuracy99.6%
(*.f64 (PI.f64) l)
accuracy81.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
accuracy51.3%
(tan.f64 (*.f64 (PI.f64) l))
Samples
89.0ms39×2valid
59.0ms76×1valid
55.0ms12×3valid
11.0ms129×0valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 198.0ms
ival-tan: 176.0ms (88.7% of total)
ival-mult: 13.0ms (6.6% of total)
ival-div: 3.0ms (1.5% of total)
adjust: 2.0ms (1% of total)
ival-pi: 2.0ms (1% of total)
ival-sub: 2.0ms (1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB 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
@inf
(* (/ 1 (* F F)) (tan (* (PI) l)))
2.0ms
l
@0
(* (/ 1 (* F F)) (tan (* (PI) l)))
1.0ms
l
@-inf
(* (/ 1 (* F F)) (tan (* (PI) l)))
1.0ms
l
@0
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))

rewrite635.0ms (3.7%)

Memory
-38.2MiB live, 546.7MiB 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))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
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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))))

simplify702.0ms (4%)

Memory
36.6MiB live, 1 177.4MiB 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))

eval88.0ms (0.5%)

Memory
8.8MiB live, 163.3MiB allocated
Compiler

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

prune67.0ms (0.4%)

Memory
-22.6MiB live, 178.6MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New46115476
Fresh000
Picked101
Done000
Total46215477
Accuracy
99.6%
Counts
477 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.6%
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
75.3%
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
64.1%
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) l)) (/.f64 l (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (neg.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))
77.9%
(fma.f64 l (PI.f64) #s(literal 0 binary64))
75.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
74.8%
(-.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))))
79.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
79.6%
(-.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)))
75.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
67.7%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64))))
50.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (PI.f64)))))
75.2%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
75.2%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l))))
67.7%
(-.f64 (*.f64 (PI.f64) l) (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
67.7%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
Compiler

Compiled 552 to 320 computations (42% saved)

simplify279.0ms (1.6%)

Memory
-16.1MiB live, 390.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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
(PI.f64)
cost-diff0
(tan.f64 (*.f64 (PI.f64) l))
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 F F))
cost-diff192
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 F F))
cost-diff0
(PI.f64)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64)))
cost-diff384
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64))))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 l (PI.f64) #s(literal 0 binary64))
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)
Rules
6 578×accelerator-lowering-fma.f32
6 578×accelerator-lowering-fma.f64
1 990×*-lowering-*.f32
1 990×*-lowering-*.f64
1 466×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025162
167156
2197154
3568154
41231154
51545154
61850154
72344154
82665154
93197154
104040154
114881154
126272154
137529154
08077154
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))
(* (PI) l)
(PI)
l
(/ (/ (tan (* (PI) l)) F) F)
(/ (tan (* (PI) l)) F)
(tan (* (PI) l))
F
(+ (* l (PI)) 0)
l
(PI)
0
(- (* (PI) l) (* (/ 1 (* F F)) (+ (* l (PI)) 0)))
(* (PI) l)
(PI)
l
(* (/ 1 (* F F)) (+ (* l (PI)) 0))
(/ 1 (* F F))
1
(* F F)
F
(+ (* l (PI)) 0)
0
(+ (* (/ -1 (* F F)) (tan (* (PI) l))) (* (PI) l))
(/ -1 (* F F))
-1
(* F F)
F
(tan (* (PI) l))
(* (PI) l)
(PI)
l
(- (* (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))
Outputs
(- (* (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
(+ (* l (PI)) 0)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
l
(PI)
(PI.f64)
0
#s(literal 0 binary64)
(- (* (PI) l) (* (/ 1 (* F F)) (+ (* l (PI)) 0)))
(fma.f64 (PI.f64) (-.f64 l (/.f64 l (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
(* (/ 1 (* F F)) (+ (* l (PI)) 0))
(/.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
(+ (* l (PI)) 0)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
0
#s(literal 0 binary64)
(+ (* (/ -1 (* F F)) (tan (* (PI) l))) (* (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))))
(/ -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)))
(* (PI) l)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(PI)
(PI.f64)
l
(- (* (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)))

localize1.1s (6.6%)

Memory
0.6MiB live, 1 561.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F)
accuracy99.8%
(*.f64 (PI.f64) l)
accuracy99.3%
(tan.f64 (*.f64 (PI.f64) l))
accuracy51.9%
(PI.f64)
accuracy99.8%
(*.f64 (PI.f64) l)
accuracy99.3%
(tan.f64 (*.f64 (PI.f64) l))
accuracy95.5%
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
accuracy51.9%
(PI.f64)
accuracy99.8%
(fma.f64 l (PI.f64) #s(literal 0 binary64))
accuracy99.8%
(*.f64 (PI.f64) l)
accuracy95.5%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (fma.f64 l (PI.f64) #s(literal 0 binary64)))
accuracy51.9%
(PI.f64)
accuracy99.8%
(fma.f64 l (PI.f64) #s(literal 0 binary64))
accuracy51.9%
(PI.f64)
accuracy99.9%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
accuracy99.8%
(*.f64 (PI.f64) l)
accuracy99.3%
(tan.f64 (*.f64 (PI.f64) l))
accuracy51.9%
(PI.f64)
Samples
1.1s127×3exit
38.0ms129×0valid
Compiler

Compiled 177 to 27 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-tan: 973.0ms (91.8% of total)
adjust: 31.0ms (2.9% of total)
ival-div: 24.0ms (2.3% of total)
ival-mult: 17.0ms (1.6% of total)
ival-sub: 6.0ms (0.6% of total)
ival-add: 6.0ms (0.6% 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)

series21.0ms (0.1%)

Memory
20.6MiB live, 58.2MiB allocated
Counts
15 → 276
Calls
Call 1
Inputs
#<alt (/ (/ (tan (* (PI) l)) F) F)>
#<alt (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))>
#<alt (PI)>
#<alt (/ (tan (* (PI) l)) F)>
#<alt (+ (* l (PI)) 0)>
#<alt (- (* (PI) l) (* (/ 1 (* F F)) (+ (* l (PI)) 0)))>
#<alt (* (/ 1 (* F F)) (+ (* l (PI)) 0))>
#<alt (/ 1 (* F F))>
#<alt (+ (* (/ -1 (* F F)) (tan (* (PI) l))) (* (PI) l))>
#<alt (/ -1 (* F F))>
#<alt (tan (* (PI) l))>
#<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 (* (PI) l)>
Outputs
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (/ (* l (PI)) F)>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
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#<alt (* l (PI))>
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#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
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#<alt (* l (PI))>
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#<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))))>
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#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
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#<alt (* l (PI))>
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#<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))>
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#<alt (/ (* l (PI)) (pow F 2))>
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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))>
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#<alt (/ (* l (PI)) (pow F 2))>
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#<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))>
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#<alt (* l (PI))>
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#<alt (/ -1 (pow F 2))>
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#<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))>
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#<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))))>
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#<alt (/ (* l (PI)) (pow F 2))>
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#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ F (* l (PI)))>
#<alt (/ (+ (* -1 (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ F (PI))) l)>
#<alt (/ (+ (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)>
#<alt (/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* F (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (pow (PI) 3))) (+ (* -1 (/ (* (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))) (/ (* F (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))))) (pow (PI) 2)))))) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* F (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow (PI) 2))))) (/ (* F (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ F (PI))) l)>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (/ (* F (cos (* l (PI)))) (sin (* l (PI))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<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
4.0ms
l
@0
(* (/ 1 (tan (* (PI) l))) F)
2.0ms
l
@inf
(/ (tan (* (PI) l)) F)
1.0ms
l
@0
(/ (tan (* (PI) l)) F)
1.0ms
l
@0
(+ (* (/ -1 (* F F)) (tan (* (PI) l))) (* (PI) l))
1.0ms
l
@inf
(- (* (PI) l) (* (/ 1 (* F F)) (+ (* l (PI)) 0)))

rewrite495.0ms (2.9%)

Memory
-16.1MiB live, 824.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 356×accelerator-lowering-fma.f32
7 356×accelerator-lowering-fma.f64
3 980×/-lowering-/.f32
3 980×/-lowering-/.f64
3 014×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025109
118899
2210799
0854599
Stop Event
iter limit
node limit
Counts
15 → 1 125
Calls
Call 1
Inputs
(/ (/ (tan (* (PI) l)) F) F)
(- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))
(PI)
(/ (tan (* (PI) l)) F)
(+ (* l (PI)) 0)
(- (* (PI) l) (* (/ 1 (* F F)) (+ (* l (PI)) 0)))
(* (/ 1 (* F F)) (+ (* l (PI)) 0))
(/ 1 (* F F))
(+ (* (/ -1 (* F F)) (tan (* (PI) l))) (* (PI) l))
(/ -1 (* F F))
(tan (* (PI) l))
(/ (/ 1 F) (* (/ 1 (tan (* (PI) l))) F))
(* (/ 1 (tan (* (PI) l))) F)
(- (* (PI) l) (/ (/ 1 F) (* (/ 1 (tan (* (PI) l))) F)))
(* (PI) l)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))) #s(literal -1 binary64)))
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(*.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (pow.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))) (pow.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)) #s(literal 2 binary64)))))
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(+.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))
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(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) #s(literal 0 binary64))
(fma.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.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 #s(literal 0 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l)) #s(literal 0 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))))
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(pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))))
(*.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 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(*.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)))

simplify580.0ms (3.3%)

Memory
42.7MiB live, 971.6MiB allocated
Algorithm
egg-herbie
Rules
10 448×accelerator-lowering-fma.f32
10 448×accelerator-lowering-fma.f64
6 760×*-lowering-*.f32
6 760×*-lowering-*.f64
4 294×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02684535
18304341
229074164
081894060
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
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(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
Outputs
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (*.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 (-.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal 1/30 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.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 (*.f64 l l) (-.f64 (fma.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal 1/30 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F))))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 F F)) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64)) (*.f64 F F)))) (/.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 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) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal 1/30 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.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 (PI.f64) (*.f64 F F)))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F)) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 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)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 4 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 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal 1/5040 binary64)) (*.f64 F F))))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal 1/30 binary64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(*.f64 l (fma.f64 l (*.f64 l (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) F)) (/.f64 (PI.f64) F)))
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(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/.f64 (*.f64 F (cos.f64 (*.f64 l (PI.f64)))) (sin.f64 (*.f64 l (PI.f64))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F)) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal 1/30 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.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 (PI.f64) (*.f64 F F)))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F)) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 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)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 4 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 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal 1/5040 binary64)) (*.f64 F F))))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal 1/30 binary64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) (*.f64 F F))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))

eval683.0ms (3.9%)

Memory
-3.5MiB live, 587.1MiB allocated
Compiler

Compiled 61 535 to 3 309 computations (94.6% saved)

prune643.0ms (3.7%)

Memory
-10.3MiB live, 475.1MiB allocated
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New2 128222 150
Fresh7310
Picked505
Done000
Total2 140252 165
Accuracy
99.6%
Counts
2 165 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))) (*.f64 (PI.f64) l))
52.7%
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (tan.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 (PI.f64) l))
75.2%
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal -1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
67.7%
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)) l (fma.f64 (PI.f64) l #s(literal 0 binary64)))
64.1%
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) l)) (/.f64 l (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (neg.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))
77.3%
(fma.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 0 binary64))
27.4%
(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))
46.1%
(/.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)))
14.9%
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l)) #s(literal 0 binary64)) (*.f64 F F)) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l)) #s(literal 0 binary64))) (*.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 F F)))
67.6%
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
77.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
72.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
79.6%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F) F))
72.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
63.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
67.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
75.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
49.9%
(-.f64 (*.f64 (PI.f64) l) (*.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) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 F F)))))
72.0%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F) (/.f64 #s(literal 1 binary64) F)))
67.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
67.7%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
46.1%
(*.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))))
67.7%
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
77.9%
(*.f64 (PI.f64) l)
67.7%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
Compiler

Compiled 938 to 538 computations (42.6% saved)

simplify672.0ms (3.9%)

Memory
51.3MiB live, 816.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
cost-diff384
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
cost-diff1600
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
cost-diff0
(/.f64 #s(literal 1 binary64) F)
cost-diff0
(PI.f64)
cost-diff384
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
cost-diff1024
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64))))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 F F))
cost-diff128
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64))
cost-diff384
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)) l (fma.f64 (PI.f64) l #s(literal 0 binary64)))
cost-diff-64
(*.f64 (PI.f64) l)
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F)
cost-diff0
(PI.f64)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F) F))
cost-diff320
(/.f64 (/.f64 (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F) F)
Rules
19 080×accelerator-lowering-fma.f32
19 080×accelerator-lowering-fma.f64
2 828×*-lowering-*.f32
2 828×*-lowering-*.f64
2 136×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033229
177215
2264212
3826212
42023212
52990212
63724212
74955212
86835212
97321212
107504212
117537212
127553212
137646212
147715212
157740212
167745212
177748212
187750212
197750212
207750212
08596212
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (* (PI) l) (/ (/ (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) F) F))
(* (PI) l)
(PI)
l
(/ (/ (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) F) F)
(/ (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) F)
(tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l))
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(sqrt (* (PI) (sqrt (PI))))
(* (PI) (sqrt (PI)))
(sqrt (PI))
(sqrt (sqrt (PI)))
F
(* (PI) l)
(PI)
l
(+ (* (* (/ -1 (* F F)) (PI)) l) (+ (* (PI) l) 0))
(* (/ -1 (* F F)) (PI))
(/ -1 (* F F))
-1
(* F F)
F
(PI)
l
(+ (* (PI) l) 0)
0
(- (* (PI) l) (/ (/ 1 F) (/ F (* l (PI)))))
(* (PI) l)
(PI)
l
(/ (/ 1 F) (/ F (* l (PI))))
(/ 1 F)
1
F
(/ F (* l (PI)))
(* l (PI))
(- (* (PI) l) (* (/ 1 (* F F)) (* (* l (sqrt (PI))) (sqrt (PI)))))
(* (PI) l)
(PI)
l
(* (/ 1 (* F F)) (* (* l (sqrt (PI))) (sqrt (PI))))
(/ 1 (* F F))
1
(* F F)
F
(* (* l (sqrt (PI))) (sqrt (PI)))
(* l (sqrt (PI)))
(sqrt (PI))
Outputs
(- (* (PI) l) (/ (/ (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) F) F))
(-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 (tan.f64 (fma.f64 l (fma.f64 (sqrt.f64 (fma.f64 (PI.f64) (sqrt.f64 (PI.f64)) #s(literal 0 binary64))) (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 0 binary64)) #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 (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) F) F)
(/.f64 (tan.f64 (fma.f64 l (fma.f64 (sqrt.f64 (fma.f64 (PI.f64) (sqrt.f64 (PI.f64)) #s(literal 0 binary64))) (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 F F #s(literal 0 binary64)))
(/ (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) F)
(/.f64 (tan.f64 (fma.f64 l (fma.f64 (sqrt.f64 (fma.f64 (PI.f64) (sqrt.f64 (PI.f64)) #s(literal 0 binary64))) (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 0 binary64)) #s(literal 0 binary64))) F)
(tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l))
(tan.f64 (fma.f64 l (fma.f64 (sqrt.f64 (fma.f64 (PI.f64) (sqrt.f64 (PI.f64)) #s(literal 0 binary64))) (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)
(fma.f64 l (fma.f64 (sqrt.f64 (fma.f64 (PI.f64) (sqrt.f64 (PI.f64)) #s(literal 0 binary64))) (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(fma.f64 (sqrt.f64 (fma.f64 (PI.f64) (sqrt.f64 (PI.f64)) #s(literal 0 binary64))) (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 0 binary64))
(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))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(sqrt (sqrt (PI)))
(sqrt.f64 (sqrt.f64 (PI.f64)))
F
(* (PI) l)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(PI)
(PI.f64)
l
(+ (* (* (/ -1 (* F F)) (PI)) l) (+ (* (PI) l) 0))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* (/ -1 (* F F)) (PI))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (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
(PI)
(PI.f64)
l
(+ (* (PI) l) 0)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
0
#s(literal 0 binary64)
(- (* (PI) l) (/ (/ 1 F) (/ F (* l (PI)))))
(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
(/ (/ 1 F) (/ F (* l (PI))))
(fma.f64 (PI.f64) (/.f64 l (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 (* l (PI)))
(/.f64 F (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(* l (PI))
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(- (* (PI) l) (* (/ 1 (* F F)) (* (* l (sqrt (PI))) (sqrt (PI)))))
(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
(* (/ 1 (* F F)) (* (* l (sqrt (PI))) (sqrt (PI))))
(fma.f64 (PI.f64) (/.f64 l (fma.f64 F F #s(literal 0 binary64))) #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
(* (* l (sqrt (PI))) (sqrt (PI)))
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(* l (sqrt (PI)))
(fma.f64 l (sqrt.f64 (PI.f64)) #s(literal 0 binary64))
(sqrt (PI))
(sqrt.f64 (PI.f64))

localize388.0ms (2.2%)

Memory
-26.8MiB live, 820.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 l (sqrt.f64 (PI.f64)))
accuracy99.4%
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy87.9%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64))))
accuracy99.7%
(/.f64 F (*.f64 l (PI.f64)))
accuracy99.6%
(*.f64 (PI.f64) l)
accuracy99.6%
(*.f64 l (PI.f64))
accuracy99.8%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64))
accuracy99.7%
(/.f64 #s(literal -1 binary64) (*.f64 F F))
accuracy99.6%
(fma.f64 (PI.f64) l #s(literal 0 binary64))
accuracy95.6%
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)) l (fma.f64 (PI.f64) l #s(literal 0 binary64)))
accuracy100.0%
(PI.f64)
accuracy99.6%
(*.f64 (PI.f64) l)
accuracy99.6%
(*.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))
accuracy51.3%
(tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
Samples
134.0ms39×2valid
94.0ms77×1valid
52.0ms11×3valid
32.0ms129×0valid
Compiler

Compiled 244 to 35 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 278.0ms
ival-tan: 208.0ms (74.7% of total)
ival-mult: 27.0ms (9.7% of total)
ival-div: 17.0ms (6.1% of total)
ival-sqrt: 10.0ms (3.6% of total)
adjust: 6.0ms (2.2% of total)
ival-sub: 5.0ms (1.8% of total)
ival-add: 4.0ms (1.4% of total)
ival-pi: 2.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series57.0ms (0.3%)

Memory
-41.5MiB live, 42.6MiB allocated
Counts
21 → 324
Calls
Call 1
Inputs
#<alt (/ (/ (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) F) F)>
#<alt (- (* (PI) l) (/ (/ (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) F) F))>
#<alt (PI)>
#<alt (/ (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) F)>
#<alt (* (PI) l)>
#<alt (+ (* (* (/ -1 (* F F)) (PI)) l) (+ (* (PI) l) 0))>
#<alt (* (/ -1 (* F F)) (PI))>
#<alt (/ -1 (* F F))>
#<alt (/ (/ 1 F) (/ F (* l (PI))))>
#<alt (- (* (PI) l) (/ (/ 1 F) (/ F (* l (PI)))))>
#<alt (/ 1 F)>
#<alt (* (* l (sqrt (PI))) (sqrt (PI)))>
#<alt (- (* (PI) l) (* (/ 1 (* F F)) (* (* l (sqrt (PI))) (sqrt (PI)))))>
#<alt (* (/ 1 (* F F)) (* (* l (sqrt (PI))) (sqrt (PI))))>
#<alt (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l))>
#<alt (sqrt (PI))>
#<alt (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))>
#<alt (+ (* (PI) l) 0)>
#<alt (* l (PI))>
#<alt (/ F (* l (PI)))>
#<alt (* l (sqrt (PI)))>
Outputs
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (/ (* l (PI)) F)>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (/ 1 F)>
#<alt (/ 1 F)>
#<alt (/ 1 F)>
#<alt (/ 1 F)>
#<alt (/ 1 F)>
#<alt (/ 1 F)>
#<alt (/ 1 F)>
#<alt (/ 1 F)>
#<alt (/ 1 F)>
#<alt (/ 1 F)>
#<alt (/ 1 F)>
#<alt (/ 1 F)>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (PI))>
#<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 (* 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 (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (/ F (* l (PI)))>
#<alt (* l (sqrt (PI)))>
#<alt (* l (sqrt (PI)))>
#<alt (* l (sqrt (PI)))>
#<alt (* l (sqrt (PI)))>
#<alt (* l (sqrt (PI)))>
#<alt (* l (sqrt (PI)))>
#<alt (* l (sqrt (PI)))>
#<alt (* l (sqrt (PI)))>
#<alt (* l (sqrt (PI)))>
#<alt (* l (sqrt (PI)))>
#<alt (* l (sqrt (PI)))>
#<alt (* l (sqrt (PI)))>
Calls

81 calls:

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

rewrite582.0ms (3.4%)

Memory
49.8MiB live, 1 145.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 634×accelerator-lowering-fma.f32
8 634×accelerator-lowering-fma.f64
4 698×/-lowering-/.f32
4 698×/-lowering-/.f64
3 558×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033155
1207112
22032112
08313109
Stop Event
iter limit
node limit
Counts
21 → 1 885
Calls
Call 1
Inputs
(/ (/ (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) F) F)
(- (* (PI) l) (/ (/ (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) F) F))
(PI)
(/ (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) F)
(* (PI) l)
(+ (* (* (/ -1 (* F F)) (PI)) l) (+ (* (PI) l) 0))
(* (/ -1 (* F F)) (PI))
(/ -1 (* F F))
(/ (/ 1 F) (/ F (* l (PI))))
(- (* (PI) l) (/ (/ 1 F) (/ F (* l (PI)))))
(/ 1 F)
(* (* l (sqrt (PI))) (sqrt (PI)))
(- (* (PI) l) (* (/ 1 (* F F)) (* (* l (sqrt (PI))) (sqrt (PI)))))
(* (/ 1 (* F F)) (* (* l (sqrt (PI))) (sqrt (PI))))
(tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l))
(sqrt (PI))
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(+ (* (PI) l) 0)
(* l (PI))
(/ F (* l (PI)))
(* l (sqrt (PI)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 F F))) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) F)) (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(neg.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F))
(/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(/.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F) F)
(/.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F) (neg.f64 (-.f64 #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) (neg.f64 (/.f64 (*.f64 F F) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (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) (neg.f64 (neg.f64 (/.f64 (*.f64 F F) (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)))))))
(/.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 (*.f64 F F) (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 F F) (*.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (/.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) F) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 F F)) (*.f64 (tan.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal -1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.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 (neg.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(/.f64 (-.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 (-.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))))))
(pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 (PI.f64) l)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l))
(*.f64 l (PI.f64))
(*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) l) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))))
(*.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 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (neg.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))))
(*.f64 (neg.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) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(*.f64 (-.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 #s(literal 1 binary64) l) (PI.f64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) l)) (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)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 F (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 F (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 F (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F))))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 F (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) l) (/.f64 F (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 F (*.f64 (sqrt.f64 (PI.f64)) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (/.f64 F l) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (/.f64 F l) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(/.f64 (/.f64 F (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) F) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 F (fma.f64 (PI.f64) l #s(literal 0 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) F))
(/.f64 (/.f64 F l) (PI.f64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) F)) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(/.f64 (neg.f64 (/.f64 F l)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) F))
(/.f64 (/.f64 F (PI.f64)) l)
(/.f64 (/.f64 F (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) l))
(/.f64 (/.f64 F (*.f64 (sqrt.f64 (PI.f64)) l)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (/.f64 F l) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (/.f64 F l) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 F (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 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) F))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 F l))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 F (PI.f64))) (neg.f64 l))
(/.f64 (neg.f64 (/.f64 F (sqrt.f64 (PI.f64)))) (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) l)))
(/.f64 (neg.f64 (/.f64 F (*.f64 (sqrt.f64 (PI.f64)) l))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 (/.f64 F l) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 (/.f64 F l) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 F (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F) #s(literal -1 binary64))
(*.f64 F (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 F (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 F (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(*.f64 (/.f64 F (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) F) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) F)
(*.f64 (/.f64 F l) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) F)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(*.f64 (neg.f64 (/.f64 F l)) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 F l))
(*.f64 (/.f64 #s(literal 1 binary64) l) (pow.f64 (/.f64 (PI.f64) F) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) l) F) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) l)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) F) #s(literal -1 binary64)))
(*.f64 (/.f64 F (PI.f64)) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 F (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) l)))
(*.f64 (/.f64 F (*.f64 (sqrt.f64 (PI.f64)) l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 F l) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (/.f64 F l) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 F (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.f64 (/.f64 F (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 (pow.f64 (/.f64 #s(literal -1 binary64) F) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) l)
(*.f64 l (sqrt.f64 (PI.f64)))

simplify727.0ms (4.2%)

Memory
-1.6MiB live, 1 312.9MiB allocated
Algorithm
egg-herbie
Rules
20 176×accelerator-lowering-fma.f32
20 176×accelerator-lowering-fma.f64
7 304×*-lowering-*.f32
7 304×*-lowering-*.f64
4 294×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02123182
16303088
219552914
081852870
Stop Event
iter limit
node limit
Counts
324 → 324
Calls
Call 1
Inputs
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ (* l (PI)) F)
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(/ -1 (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)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(/ 1 F)
(/ 1 F)
(/ 1 F)
(/ 1 F)
(/ 1 F)
(/ 1 F)
(/ 1 F)
(/ 1 F)
(/ 1 F)
(/ 1 F)
(/ 1 F)
(/ 1 F)
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(* l (PI))
(* l (+ (PI) (* (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))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(/ F (* l (PI)))
(* l (sqrt (PI)))
(* l (sqrt (PI)))
(* l (sqrt (PI)))
(* l (sqrt (PI)))
(* l (sqrt (PI)))
(* l (sqrt (PI)))
(* l (sqrt (PI)))
(* l (sqrt (PI)))
(* l (sqrt (PI)))
(* l (sqrt (PI)))
(* l (sqrt (PI)))
(* l (sqrt (PI)))
Outputs
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 l (/.f64 (*.f64 (*.f64 l (PI.f64)) (*.f64 (PI.f64) (*.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 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/3 binary64) (*.f64 F F))) (*.f64 (*.f64 l l) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F)))) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F F))) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64)) (*.f64 F F)) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64))))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/3 binary64))) (*.f64 F F))) (/.f64 (PI.f64) (*.f64 F F))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
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eval658.0ms (3.8%)

Memory
-57.4MiB live, 783.0MiB allocated
Compiler

Compiled 80 522 to 5 728 computations (92.9% saved)

prune292.0ms (1.7%)

Memory
-12.9MiB live, 694.8MiB allocated
Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New3 025113 036
Fresh61420
Picked415
Done000
Total3 035263 061
Accuracy
99.6%
Counts
3 061 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.7%
(fma.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F) l (fma.f64 (PI.f64) l #s(literal 0 binary64)))
67.7%
(fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (PI.f64)) F) l (fma.f64 (PI.f64) l #s(literal 0 binary64)))
67.7%
(fma.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)) l (fma.f64 (PI.f64) l #s(literal 0 binary64)))
50.4%
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))) (*.f64 (PI.f64) l))
52.7%
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (tan.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 (PI.f64) l))
72.0%
(fma.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
75.2%
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal -1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
67.7%
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)) l (*.f64 (PI.f64) l))
27.4%
(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))
46.1%
(/.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)))
46.1%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))))
77.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
72.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
67.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
75.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
72.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) F))))
49.9%
(-.f64 (*.f64 (PI.f64) l) (*.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) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 F F)))))
67.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) l) (*.f64 F F)) (sqrt.f64 (PI.f64))))
67.7%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
46.1%
(*.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))))
67.7%
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
77.3%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
77.7%
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
77.9%
(*.f64 (PI.f64) l)
67.7%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
63.4%
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F)))))
Compiler

Compiled 823 to 504 computations (38.8% saved)

simplify296.0ms (1.7%)

Memory
18.1MiB live, 361.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (sqrt.f64 (PI.f64)))
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(PI.f64)
cost-diff0
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
cost-diff0
(fma.f64 (PI.f64) l #s(literal 0 binary64))
cost-diff0
(/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F)
cost-diff0
(/.f64 #s(literal -1 binary64) F)
cost-diff896
(fma.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 F F))
cost-diff128
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64))
cost-diff384
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)) l (*.f64 (PI.f64) l))
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-diff0
(fma.f64 (PI.f64) l #s(literal 0 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
Rules
5 904×accelerator-lowering-fma.f32
5 904×accelerator-lowering-fma.f64
2 068×--lowering--.f32
2 068×--lowering--.f64
1 772×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028134
162133
2175133
3369133
4807133
51847133
62362133
72798133
83654133
94342133
104671133
114794133
124834133
134841133
145038133
155572133
166276133
176661133
08009133
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ (* (PI) l) 0)))
1
(/ 1 (+ (* (PI) l) 0))
(+ (* (PI) l) 0)
(PI)
l
0
(* l (- (PI) (/ (PI) (* F F))))
l
(- (PI) (/ (PI) (* F F)))
(PI)
(/ (PI) (* F F))
(* F F)
F
(+ (* (* (/ -1 (* F F)) (PI)) l) (* (PI) l))
(* (/ -1 (* F F)) (PI))
(/ -1 (* F F))
-1
(* F F)
F
(PI)
l
(* (PI) l)
(+ (* (/ -1 F) (/ (+ (* (PI) l) 0) F)) (+ (* (PI) l) 0))
(/ -1 F)
-1
F
(/ (+ (* (PI) l) 0) F)
(+ (* (PI) l) 0)
(PI)
l
0
(* (* (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
(/ 1 (/ 1 (+ (* (PI) l) 0)))
(fma.f64 (PI.f64) l #s(literal 0 binary64))
1
#s(literal 1 binary64)
(/ 1 (+ (* (PI) l) 0))
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(+ (* (PI) l) 0)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(PI)
(PI.f64)
l
0
#s(literal 0 binary64)
(* 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
(+ (* (* (/ -1 (* F F)) (PI)) l) (* (PI) l))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* (/ -1 (* F F)) (PI))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (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
(PI)
(PI.f64)
l
(* (PI) l)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(+ (* (/ -1 F) (/ (+ (* (PI) l) 0) F)) (+ (* (PI) l) 0))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (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
(/ (+ (* (PI) l) 0) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(+ (* (PI) l) 0)
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(PI)
(PI.f64)
l
0
#s(literal 0 binary64)
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (fma.f64 l (sqrt.f64 (fma.f64 (PI.f64) (sqrt.f64 (PI.f64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(fma.f64 (sqrt.f64 (fma.f64 (PI.f64) (sqrt.f64 (PI.f64)) #s(literal 0 binary64))) (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 0 binary64))
(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
-5.7MiB live, 215.0MiB 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%
(PI.f64)
accuracy99.9%
(fma.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
accuracy99.7%
(/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F)
accuracy99.6%
(fma.f64 (PI.f64) l #s(literal 0 binary64))
accuracy99.8%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64))
accuracy99.7%
(/.f64 #s(literal -1 binary64) (*.f64 F F))
accuracy99.6%
(*.f64 (PI.f64) l)
accuracy95.6%
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)) l (*.f64 (PI.f64) l))
accuracy100.0%
(PI.f64)
accuracy100.0%
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
accuracy99.6%
(/.f64 (PI.f64) (*.f64 F F))
accuracy95.4%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
accuracy100.0%
(PI.f64)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
accuracy99.6%
(fma.f64 (PI.f64) l #s(literal 0 binary64))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
Samples
55.0ms256×0valid
Compiler

Compiled 153 to 30 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 12.0ms (35.2% of total)
ival-mult: 12.0ms (35.2% of total)
ival-sqrt: 5.0ms (14.7% of total)
ival-add: 3.0ms (8.8% of total)
ival-pi: 1.0ms (2.9% of total)
ival-sub: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-14.9MiB live, 22.8MiB allocated
Counts
19 → 216
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (+ (* (PI) l) 0)))>
#<alt (/ 1 (+ (* (PI) l) 0))>
#<alt (+ (* (PI) l) 0)>
#<alt (PI)>
#<alt (- (PI) (/ (PI) (* F F)))>
#<alt (/ (PI) (* F F))>
#<alt (* l (- (PI) (/ (PI) (* F F))))>
#<alt (+ (* (* (/ -1 (* F F)) (PI)) l) (* (PI) l))>
#<alt (* (/ -1 (* F F)) (PI))>
#<alt (/ -1 (* F F))>
#<alt (+ (* (/ -1 F) (/ (+ (* (PI) l) 0) F)) (+ (* (PI) l) 0))>
#<alt (/ -1 F)>
#<alt (/ (+ (* (PI) l) 0) F)>
#<alt (sqrt (* (PI) (sqrt (PI))))>
#<alt (sqrt (PI))>
#<alt (sqrt (sqrt (PI)))>
#<alt (* (PI) l)>
#<alt (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))>
#<alt (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)>
Outputs
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* -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 (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (* -1 (/ (PI) (pow F 2)))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* 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 F)>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (/ (* l (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 (* 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

54 calls:

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

rewrite420.0ms (2.4%)

Memory
19.9MiB live, 857.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 656×accelerator-lowering-fma.f32
6 656×accelerator-lowering-fma.f64
3 416×/-lowering-/.f32
3 416×/-lowering-/.f64
3 372×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02888
117285
2197584
0851684
Stop Event
iter limit
node limit
Counts
19 → 1 576
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ (* (PI) l) 0)))
(/ 1 (+ (* (PI) l) 0))
(+ (* (PI) l) 0)
(PI)
(- (PI) (/ (PI) (* F F)))
(/ (PI) (* F F))
(* l (- (PI) (/ (PI) (* F F))))
(+ (* (* (/ -1 (* F F)) (PI)) l) (* (PI) l))
(* (/ -1 (* F F)) (PI))
(/ -1 (* F F))
(+ (* (/ -1 F) (/ (+ (* (PI) l) 0) F)) (+ (* (PI) l) 0))
(/ -1 F)
(/ (+ (* (PI) l) 0) F)
(sqrt (* (PI) (sqrt (PI))))
(sqrt (PI))
(sqrt (sqrt (PI)))
(* (PI) l)
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)
Outputs
(+.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(+.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))
(exp.f64 (log.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal -1 binary64)))
(-.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (PI.f64) l #s(literal 0 binary64))
(fma.f64 (PI.f64) (pow.f64 l #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (PI.f64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) l) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (PI.f64)) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) #s(literal 0 binary64))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) #s(literal 0 binary64))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) l) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.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))) #s(literal 0 binary64))
(fma.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (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))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) #s(literal 0 binary64))
(fma.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) #s(literal 0 binary64))
(fma.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) l) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 l #s(literal 1 binary64)) (PI.f64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 l (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) l) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.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 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (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)))
(pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(*.f64 (PI.f64) l)
(*.f64 (PI.f64) (pow.f64 l #s(literal 1 binary64)))
(*.f64 l (PI.f64))
(*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) l) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) l) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))))
(*.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 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (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 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) (pow.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) l) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) l) #s(literal -1 binary64)))
(*.f64 (pow.f64 l #s(literal 1 binary64)) (PI.f64))
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(*.f64 (pow.f64 l #s(literal 1 binary64)) (PI.f64))
(*.f64 (pow.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 l (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) l) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))

simplify321.0ms (1.8%)

Memory
20.5MiB live, 451.9MiB allocated
Algorithm
egg-herbie
Rules
9 642×accelerator-lowering-fma.f32
9 642×accelerator-lowering-fma.f64
4 760×*-lowering-*.f32
4 760×*-lowering-*.f64
2 116×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0321268
1851268
22121250
34711232
412591232
542041232
677401232
083611232
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* -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)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(* -1 (/ (PI) (pow F 2)))
(/ -1 (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 (/ (* 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 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(/ (* l (PI)) F)
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
Outputs
(* 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))
(/ 1 (* l (PI)))
(/.f64 #s(literal 1 binary64) (fma.f64 l (PI.f64) #s(literal 0 binary64)))
(/ 1 (* l (PI)))
(/.f64 #s(literal 1 binary64) (fma.f64 l (PI.f64) #s(literal 0 binary64)))
(/ 1 (* l (PI)))
(/.f64 #s(literal 1 binary64) (fma.f64 l (PI.f64) #s(literal 0 binary64)))
(/ 1 (* l (PI)))
(/.f64 #s(literal 1 binary64) (fma.f64 l (PI.f64) #s(literal 0 binary64)))
(/ 1 (* l (PI)))
(/.f64 #s(literal 1 binary64) (fma.f64 l (PI.f64) #s(literal 0 binary64)))
(/ 1 (* l (PI)))
(/.f64 #s(literal 1 binary64) (fma.f64 l (PI.f64) #s(literal 0 binary64)))
(/ 1 (* l (PI)))
(/.f64 #s(literal 1 binary64) (fma.f64 l (PI.f64) #s(literal 0 binary64)))
(/ 1 (* l (PI)))
(/.f64 #s(literal 1 binary64) (fma.f64 l (PI.f64) #s(literal 0 binary64)))
(/ 1 (* l (PI)))
(/.f64 #s(literal 1 binary64) (fma.f64 l (PI.f64) #s(literal 0 binary64)))
(/ 1 (* l (PI)))
(/.f64 #s(literal 1 binary64) (fma.f64 l (PI.f64) #s(literal 0 binary64)))
(/ 1 (* l (PI)))
(/.f64 #s(literal 1 binary64) (fma.f64 l (PI.f64) #s(literal 0 binary64)))
(/ 1 (* l (PI)))
(/.f64 #s(literal 1 binary64) (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))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(* -1 (/ (PI) (pow F 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(PI)
(PI.f64)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(PI)
(PI.f64)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))
(* l (- (PI) (/ (PI) (pow F 2))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (- (PI) (/ (PI) (pow F 2))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (- (PI) (/ (PI) (pow F 2))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (- (PI) (/ (PI) (pow F 2))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (- (PI) (/ (PI) (pow F 2))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (- (PI) (/ (PI) (pow F 2))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (- (PI) (/ (PI) (pow F 2))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (- (PI) (/ (PI) (pow F 2))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (- (PI) (/ (PI) (pow F 2))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (- (PI) (/ (PI) (pow F 2))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (- (PI) (/ (PI) (pow F 2))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (- (PI) (/ (PI) (pow F 2))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* -1 (/ (* l (PI)) (pow F 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (/.f64 l (fma.f64 F F #s(literal 0 binary64))) #s(literal 0 binary64)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* -1 (/ (* l (PI)) (pow F 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (/.f64 l (fma.f64 F F #s(literal 0 binary64))) #s(literal 0 binary64)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* -1 (/ (PI) (pow F 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(* -1 (/ (PI) (pow F 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(* -1 (/ (PI) (pow F 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(* -1 (/ (PI) (pow F 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(* -1 (/ (PI) (pow F 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(* -1 (/ (PI) (pow F 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(* -1 (/ (PI) (pow F 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(* -1 (/ (PI) (pow F 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(* -1 (/ (PI) (pow F 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(* -1 (/ (PI) (pow F 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(* -1 (/ (PI) (pow F 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(* -1 (/ (PI) (pow F 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64))))
(/ -1 (pow F 2))
(/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64)))
(/ -1 (pow F 2))
(/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64)))
(/ -1 (pow F 2))
(/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64)))
(/ -1 (pow F 2))
(/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64)))
(/ -1 (pow F 2))
(/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64)))
(/ -1 (pow F 2))
(/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64)))
(/ -1 (pow F 2))
(/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64)))
(/ -1 (pow F 2))
(/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64)))
(/ -1 (pow F 2))
(/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64)))
(/ -1 (pow F 2))
(/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64)))
(/ -1 (pow F 2))
(/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64)))
(/ -1 (pow F 2))
(/.f64 #s(literal -1 binary64) (fma.f64 F F #s(literal 0 binary64)))
(* -1 (/ (* l (PI)) (pow F 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (/.f64 l (fma.f64 F F #s(literal 0 binary64))) #s(literal 0 binary64)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(* -1 (* l (+ (* -1 (PI)) (/ (PI) (pow F 2)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (fma.f64 F F #s(literal 0 binary64)))) #s(literal 0 binary64))
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #s(literal 0 binary64))
(/ (* l (PI)) F)
(fma.f64 (PI.f64) (/.f64 l F) #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))
(* 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))
(* l (PI))
(fma.f64 l (PI.f64) #s(literal 0 binary64))

eval331.0ms (1.9%)

Memory
37.1MiB live, 558.8MiB allocated
Compiler

Compiled 54 492 to 3 927 computations (92.8% saved)

prune324.0ms (1.9%)

Memory
-8.9MiB live, 595.6MiB allocated
Pruning

32 alts after pruning (29 fresh and 3 done)

PrunedKeptTotal
New2 517162 533
Fresh71320
Picked325
Done011
Total2 527322 559
Accuracy
99.6%
Counts
2 559 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.7%
(fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (PI.f64)) F) l (*.f64 (PI.f64) l))
50.4%
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))) (*.f64 (PI.f64) l))
52.7%
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (tan.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 (PI.f64) l))
71.9%
(fma.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l #s(literal 0 binary64)) F) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
72.0%
(fma.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) (/.f64 l F)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
75.2%
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal -1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
67.7%
(fma.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 F F))) l (*.f64 (PI.f64) l))
27.4%
(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))
46.1%
(/.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)))
34.9%
(/.f64 (fma.f64 F (-.f64 #s(literal 0 binary64) F) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))
46.1%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))))
77.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l))
77.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) l) (PI.f64)))
77.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l))))
77.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)))
44.4%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))))
72.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
67.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
75.2%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
72.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) F))))
49.9%
(-.f64 (*.f64 (PI.f64) l) (*.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) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 F F)))))
17.3%
(-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (/.f64 l (fma.f64 F F #s(literal 0 binary64))) #s(literal 0 binary64)))
46.1%
(*.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))))
67.7%
(*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))
77.3%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
77.7%
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) l) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
77.9%
(*.f64 (PI.f64) l)
67.7%
(*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64)))
67.7%
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
67.6%
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))
67.7%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
63.4%
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F)))))
Compiler

Compiled 1 442 to 502 computations (65.2% saved)

regimes164.0ms (0.9%)

Memory
-28.9MiB live, 202.5MiB allocated
Counts
65 → 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 #s(literal 0 binary64) (fma.f64 (PI.f64) (/.f64 l (fma.f64 F F #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F)))))
(*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) 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 l (/.f64 (PI.f64) (*.f64 F F))))
(-.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)))
(fma.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 F F))) l (*.f64 (PI.f64) l))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))
(fma.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)) l (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)) l (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) l) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)) l (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(/.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 (*.f64 l (PI.f64)) F) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(fma.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F) l (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (PI.f64)) F) l (*.f64 (PI.f64) l))
(*.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))))
(fma.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) (/.f64 l F)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (PI.f64)) F) l (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F) (/.f64 #s(literal 1 binary64) F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) F))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(/.f64 (fma.f64 F (-.f64 #s(literal 0 binary64) F) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) l) (*.f64 F F)) (sqrt.f64 (PI.f64))))
(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.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 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 F F)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (PI.f64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l #s(literal 0 binary64)) F) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l)) #s(literal 0 binary64)) (*.f64 F F)) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l)) #s(literal 0 binary64))) (*.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (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))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal -1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64) (*.f64 F F)) (tan.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 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F) F))
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) l)) (/.f64 l (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (neg.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(*.f64 (PI.f64) l)
Calls

6 calls:

43.0ms
F
38.0ms
(/.f64 #s(literal 1 binary64) (*.f64 F F))
22.0ms
(*.f64 (PI.f64) l)
20.0ms
l
19.0ms
(*.f64 F F)
Results
AccuracySegmentsBranch
84.1%2F
99.3%2l
86.6%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)
83.3%2(/.f64 #s(literal 1 binary64) (*.f64 F F))
83.3%2(*.f64 F F)
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes53.0ms (0.3%)

Memory
-18.3MiB live, 66.5MiB allocated
Counts
54 → 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 #s(literal 0 binary64) (fma.f64 (PI.f64) (/.f64 l (fma.f64 F F #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F)))))
(*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) 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 l (/.f64 (PI.f64) (*.f64 F F))))
(-.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)))
(fma.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 F F))) l (*.f64 (PI.f64) l))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))
(fma.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)) l (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)) l (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) l) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)) l (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(/.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 (*.f64 l (PI.f64)) F) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 F F))))
(fma.f64 (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F) l (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (PI.f64)) F) l (*.f64 (PI.f64) l))
(*.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))))
(fma.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) (/.f64 l F)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(fma.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (PI.f64)) F) l (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) F) (/.f64 #s(literal 1 binary64) F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) F))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (*.f64 l (PI.f64)))))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))))
(/.f64 (fma.f64 F (-.f64 #s(literal 0 binary64) F) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (*.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 F F))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) l #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) l) (*.f64 F F)) (sqrt.f64 (PI.f64))))
(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l)) #s(literal 0 binary64)) (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.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 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (*.f64 F F)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64))) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (fma.f64 l (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (PI.f64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l #s(literal 0 binary64)) F) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l)) #s(literal 0 binary64)) (*.f64 F F)) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 l (*.f64 l l)) #s(literal 0 binary64))) (*.f64 (fma.f64 (PI.f64) (*.f64 l (fma.f64 (PI.f64) l #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F))
(*.f64 (PI.f64) l)
Calls

2 calls:

33.0ms
l
17.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
98.4%2l
98.4%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes50.0ms (0.3%)

Memory
-14.7MiB live, 23.6MiB 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 #s(literal 0 binary64) (fma.f64 (PI.f64) (/.f64 l (fma.f64 F F #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.f64 l (+.f64 (PI.f64) (/.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 F F)))))
(*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) 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 l (/.f64 (PI.f64) (*.f64 F F))))
(-.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)))
(fma.f64 (neg.f64 (/.f64 (PI.f64) (*.f64 F F))) l (*.f64 (PI.f64) l))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(*.f64 (fma.f64 (PI.f64) l #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F))))
(fma.f64 (/.f64 (neg.f64 (PI.f64)) (*.f64 F F)) l (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)) l (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) l) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64)) l (fma.f64 (PI.f64) l #s(literal 0 binary64)))
(/.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 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64)))
(*.f64 (PI.f64) l)
Calls

2 calls:

42.0ms
l
7.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
94.0%2l
94.0%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0%)

Memory
9.8MiB live, 9.8MiB allocated
Counts
5 → 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 #s(literal 0 binary64) (fma.f64 (PI.f64) (/.f64 l (fma.f64 F F #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.f64 l (+.f64 (PI.f64) (/.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

2 calls:

3.0ms
(*.f64 (PI.f64) l)
2.0ms
l
Results
AccuracySegmentsBranch
94.0%2l
94.0%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0%)

Memory
10.8MiB live, 10.8MiB 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

3 calls:

2.0ms
(*.f64 (PI.f64) l)
1.0ms
F
1.0ms
l
Results
AccuracySegmentsBranch
77.9%1F
77.9%1l
77.9%1(*.f64 (PI.f64) l)
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
21564472108.306103
212636781854.1482
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
21564472108.306103
212636781854.1482
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
21564472108.306103
212636781854.1482
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
21564472108.306103
212636781854.1482
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify13.0ms (0.1%)

Memory
-10.2MiB live, 24.4MiB allocated
Algorithm
egg-herbie
Rules
28×*-commutative_binary64
28×+-commutative_binary64
28×sub-neg_binary64
22×neg-sub0_binary64
22×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02681
13581
25681
38081
410281
511381
611781
711881
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 40000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 40000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 40000000000 binary64)) (*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 40000000000 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 40000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 40000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 l (PI.f64)) F) F)) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 40000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 40000000000 binary64)) (*.f64 l (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (PI.f64) (PI.f64))) (*.f64 (PI.f64) l))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 40000000000 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)

soundness724.0ms (4.2%)

Memory
23.9MiB live, 727.7MiB allocated
Rules
17 378×accelerator-lowering-fma.f32
17 378×accelerator-lowering-fma.f64
10 448×accelerator-lowering-fma.f32
10 448×accelerator-lowering-fma.f64
7 356×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01491418
14321331
214501227
369201158
085071124
02684535
18304341
229074164
081894060
025109
118899
2210799
0854599
02888
117285
2197584
0851684
01037
16331
246031
3664531
0816731
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 213 to 116 computations (45.5% saved)

preprocess98.0ms (0.6%)

Memory
-4.8MiB live, 231.3MiB allocated
Remove

(abs F)

Compiler

Compiled 336 to 136 computations (59.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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