VandenBroeck and Keller, Equation (6)

Time bar (total: 7.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze200.0ms (2.7%)

Memory
12.9MiB live, 244.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
21.9%21.9%78%0.1%0%0%0%7
23.4%23.4%76.5%0.1%0%0%0%8
35.2%35.1%64.8%0.1%0%0%0%9
36.3%36.3%63.6%0.1%0%0%0%10
42.4%42.3%57.6%0.1%0%0%0%11
43.1%43%56.9%0.1%0%0%0%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample947.0ms (12.6%)

Memory
50.4MiB live, 1 002.9MiB allocated
Samples
676.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 447.0ms
ival-tanu: 173.0ms (38.7% of total)
ival-mult: 139.0ms (31.1% of total)
ival-div: 51.0ms (11.4% of total)
ival-sub: 37.0ms (8.3% of total)
ival-pi: 33.0ms (7.4% of total)
ival-true: 6.0ms (1.3% of total)
exact: 5.0ms (1.1% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain146.0ms (1.9%)

Memory
-20.6MiB live, 184.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1250-1(-1.0322006137900831e-138 20.851553995011876)(tan.f64 (*.f64 (PI.f64) l))
380-0-(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
40-0-(/.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))sensitivity1241
*.f64(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))n*o130
Confusion
Predicted +Predicted -
+501
-87118
Precision
0.36496350364963503
Recall
0.9803921568627451
Confusion?
Predicted +Predicted MaybePredicted -
+5010
-870118
Precision?
0.3695652173913043
Recall?
1.0
Freqs
test
numberfreq
0119
1137
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
58.0ms512×0valid
Compiler

Compiled 147 to 44 computations (70.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-tanu: 11.0ms (35% of total)
ival-mult: 9.0ms (28.6% of total)
ival-pi: 6.0ms (19.1% of total)
ival-div: 3.0ms (9.5% of total)
ival-sub: 2.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess71.0ms (1%)

Memory
24.7MiB live, 61.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02674
17862
225460
366960
4115860
5155860
6181960
7187560
8188560
01014
01714
13012
26412
314112
421912
533212
640212
748812
863112
969912
1076712
1180312
080312
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
Symmetry

(abs F)

(negabs l)

Compiler

Compiled 14 to 10 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶81.8%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify26.0ms (0.4%)

Memory
-7.7MiB live, 31.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01043
01743
13039
26439
314139
421939
533239
640239
748839
863139
969939
1076739
1180339
080339
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
(tan.f64 (*.f64 (PI.f64) l))
Outputs
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(PI.f64)
l
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
(tan.f64 (*.f64 (PI.f64) l))
(tan.f64 (*.f64 l (PI.f64)))

localize31.0ms (0.4%)

Memory
6.2MiB live, 44.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.203125
(*.f64 (PI.f64) l)
accuracy0.6871370321634107
(/.f64 #s(literal 1 binary64) (*.f64 F F))
accuracy9.228158855845525
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
accuracy29.437918199828356
(tan.f64 (*.f64 (PI.f64) l))
Samples
24.0ms256×0valid
Compiler

Compiled 88 to 22 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-tanu: 5.0ms (32.9% of total)
ival-mult: 4.0ms (26.3% of total)
ival-div: 3.0ms (19.7% of total)
ival-pi: 1.0ms (6.6% of total)
ival-sub: 1.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-23.8MiB live, 18.8MiB allocated
Counts
6 → 20
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (PI.f64) l)
(PI.f64)
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
Outputs
(/ (sin (* l (PI))) (* (pow F 2) (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))
(/ 1 (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* 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))))
(* 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) (* (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))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
F
@inf
((* (/ 1 (* F F)) (tan (* (PI) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (tan (* (PI) l)) (/ 1 (* F F)))
4.0ms
l
@0
((* (/ 1 (* F F)) (tan (* (PI) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (tan (* (PI) l)) (/ 1 (* F F)))
3.0ms
F
@0
((* (/ 1 (* F F)) (tan (* (PI) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (tan (* (PI) l)) (/ 1 (* F F)))
2.0ms
l
@-inf
((* (/ 1 (* F F)) (tan (* (PI) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (tan (* (PI) l)) (/ 1 (* F F)))
2.0ms
l
@inf
((* (/ 1 (* F F)) (tan (* (PI) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (tan (* (PI) l)) (/ 1 (* F F)))

simplify263.0ms (3.5%)

Memory
30.9MiB live, 183.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149787
1432713
21504601
37061562
08390537
Stop Event
1×iter limit
1×node limit
Counts
20 → 20
Calls
Call 1
Inputs
(/ (sin (* l (PI))) (* (pow F 2) (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))
(/ 1 (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* 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))))
(* 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) (* (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))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
Outputs
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(* l (PI))
(*.f64 (PI.f64) l)
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (* l (PI)) (pow F 2))
(*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(fma.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64)) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) F) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l))
(* 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 (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 F F)) (*.f64 l l) (*.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) F) F) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 l l) (/.f64 (PI.f64) (*.f64 F F))) l)
(* 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 (fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) F) F) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F) F) #s(literal -1/840 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) F) (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) F) F) (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 (PI.f64) (PI.f64))))))) (*.f64 l l) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 F F))) (*.f64 l l))) (*.f64 l l) (/.f64 (PI.f64) (*.f64 F F))) l)
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(* 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 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)
(* 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 (fma.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 #s(literal -1/3 binary64) F) (*.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 F F))) (*.f64 l l))) (*.f64 l l) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) l)
(* 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 (fma.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 #s(literal -1/3 binary64) F) (*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F) F) #s(literal -1/840 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) F) (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) F) F) (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 l l) (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 F F)))) (*.f64 l l))) (*.f64 l l) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) l)
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 l l) (PI.f64)) l)
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (*.f64 l l))) (*.f64 l l) (PI.f64)) l)
(* 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))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/5040 binary64)) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64))) (fma.f64 (*.f64 #s(literal 1/72 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)))))) (*.f64 l l) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (*.f64 l l))) (*.f64 (PI.f64) l))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (PI.f64) l))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (PI.f64) l))

rewrite155.0ms (2.1%)

Memory
0.9MiB live, 157.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
01737
17031
247031
3667731
0820131
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 308
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(*.f64 (PI.f64) l)
(PI.f64)
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
Outputs
(*.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) #s(literal 1 binary64)) (pow.f64 F #s(literal -2 binary64)))
(*.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 F #s(literal -2 binary64))))
(*.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (neg.f64 F)) (/.f64 #s(literal -1 binary64) F))
(*.f64 (*.f64 (sin.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 l (PI.f64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 (pow.f64 F #s(literal -2 binary64))))
(*.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (pow.f64 F #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (neg.f64 F)))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F)))
(*.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (/.f64 (pow.f64 (cos.f64 (*.f64 l (PI.f64))) #s(literal -1 binary64)) F))
(*.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 (sin.f64 (*.f64 l (PI.f64))) (/.f64 (pow.f64 F #s(literal -2 binary64)) (cos.f64 (*.f64 l (PI.f64)))))
(*.f64 (sin.f64 (*.f64 l (PI.f64))) (/.f64 (pow.f64 F #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F)))
(*.f64 (sin.f64 (*.f64 l (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 l (PI.f64))))))
(*.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (pow.f64 (cos.f64 (*.f64 l (PI.f64))) #s(literal -1 binary64)) (pow.f64 F #s(literal -2 binary64))))
(*.f64 (sin.f64 (*.f64 l (PI.f64))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F))))
(*.f64 (sin.f64 (*.f64 l (PI.f64))) (/.f64 (pow.f64 (cos.f64 (*.f64 l (PI.f64))) #s(literal -1 binary64)) (*.f64 F F)))
(*.f64 (pow.f64 F #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))
(*.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(*.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)))
(*.f64 (pow.f64 F #s(literal -2 binary64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 F #s(literal -2 binary64)) (tan.f64 (*.f64 l (PI.f64))))
(*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))
(pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 l (PI.f64)))) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 l (PI.f64)))) #s(literal -1 binary64)) (*.f64 F F))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 l (PI.f64)))) F) (neg.f64 F))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (pow.f64 F #s(literal -2 binary64))) (neg.f64 (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 (pow.f64 F #s(literal -2 binary64)) (neg.f64 (sin.f64 (*.f64 l (PI.f64))))) (neg.f64 (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) (neg.f64 F))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F)) (neg.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64))))) (neg.f64 (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 (sin.f64 (*.f64 l (PI.f64))))) (*.f64 (neg.f64 F) (neg.f64 (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))
(/.f64 (*.f64 (pow.f64 F #s(literal -1 binary64)) (neg.f64 (sin.f64 (*.f64 l (PI.f64))))) (*.f64 F (neg.f64 (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) (neg.f64 F))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (*.f64 l (PI.f64))))) (*.f64 (*.f64 (neg.f64 F) F) (neg.f64 (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (/.f64 #s(literal -1 binary64) F)) (*.f64 (neg.f64 (cos.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (pow.f64 F #s(literal -1 binary64))) (*.f64 (neg.f64 (cos.f64 (*.f64 l (PI.f64)))) F))
(/.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 #s(literal -1 binary64) F)) (neg.f64 F))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 l (PI.f64))))) (*.f64 (*.f64 F F) (neg.f64 (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 l (PI.f64))))) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 (*.f64 l (PI.f64)))) (*.f64 F F)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (neg.f64 F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) #s(literal 1 binary64)) (*.f64 (neg.f64 F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64))))))
(/.f64 (*.f64 (sin.f64 (*.f64 l (PI.f64))) (/.f64 #s(literal -1 binary64) F)) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 F)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 (*.f64 l (PI.f64)))) (*.f64 (neg.f64 F) F)))
(/.f64 (*.f64 (sin.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (sin.f64 (*.f64 l (PI.f64))) (neg.f64 (pow.f64 F #s(literal -2 binary64)))) (neg.f64 (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (tan.f64 (*.f64 l (PI.f64)))) (*.f64 (neg.f64 F) F))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
(/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (neg.f64 (cos.f64 (*.f64 l (PI.f64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (pow.f64 F #s(literal -1 binary64)) (*.f64 F (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64))))))
(/.f64 (pow.f64 F #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) F))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 l (PI.f64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 F) F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (*.f64 (neg.f64 F) F)))
(/.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(/.f64 (pow.f64 F #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 (sin.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 l (PI.f64))) F) (/.f64 (sin.f64 (*.f64 l (PI.f64))) F)))
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(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))))
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(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
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(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (PI.f64) (log.f64 (E.f64)))
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(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(fabs.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(+.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (E.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (log.f64 (pow.f64 (E.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(*.f64 (pow.f64 (cos.f64 (*.f64 l (PI.f64))) #s(literal -1 binary64)) (sin.f64 (*.f64 l (PI.f64))))
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(*.f64 (tan.f64 (*.f64 l (PI.f64))) #s(literal 1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))))
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(tan.f64 (*.f64 l (PI.f64)))
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(pow.f64 (pow.f64 F #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 F F) #s(literal -1 binary64))
(pow.f64 F #s(literal -2 binary64))
(/.f64 (*.f64 (pow.f64 F #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 F))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) #s(literal 1 binary64)) (neg.f64 F))
(/.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 F))
(/.f64 (pow.f64 F #s(literal -1 binary64)) (neg.f64 (neg.f64 F)))
(/.f64 (pow.f64 F #s(literal -1 binary64)) F)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 F) F))
(/.f64 (pow.f64 F #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(neg.f64 (neg.f64 (pow.f64 F #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 F #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64)))
(exp.f64 (log.f64 (pow.f64 F #s(literal -2 binary64))))
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eval71.0ms (0.9%)

Memory
-20.7MiB live, 91.1MiB allocated
Compiler

Compiled 10 831 to 1 272 computations (88.3% saved)

prune55.0ms (0.7%)

Memory
-9.1MiB live, 76.4MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New38216398
Fresh000
Picked101
Done000
Total38316399
Accuracy
99.7%
Counts
399 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶86.4%
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
68.7%
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 l (fma.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (*.f64 l (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))) #s(literal 2 binary64)) (fma.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (*.f64 l (PI.f64))))))
▶81.8%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
81.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))))
81.3%
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
86.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
▶86.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))))
86.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
81.8%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))))
▶81.8%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
80.9%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
72.8%
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
21.4%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
54.5%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
72.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
▶75.5%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Compiler

Compiled 638 to 438 computations (31.3% saved)

simplify50.0ms (0.7%)

Memory
7.0MiB live, 46.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))
cost-diff12864
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))
cost-diff1216
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
cost-diff0
(tan.f64 (*.f64 l (PI.f64)))
cost-diff0
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
cost-diff0
(*.f64 l (PI.f64))
cost-diff0
(tan.f64 (*.f64 l (PI.f64)))
cost-diff0
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
cost-diff576
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036224
061208
1116200
2217190
3545190
41093190
51520190
61614190
71679190
81735190
91789190
101797190
111799190
01799190
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
l
(PI.f64)
F
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(PI.f64)
l
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (neg.f64 F) F)
(neg.f64 F)
F
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64))))
#s(literal 1 binary64)
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(neg.f64 F)
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
(tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan.f64 (*.f64 l (PI.f64)))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
l
(PI.f64)
F
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(PI.f64)
l
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F))
(tan.f64 (*.f64 l (PI.f64)))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(*.f64 (neg.f64 F) F)
(neg.f64 F)
F
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))
(/.f64 (neg.f64 F) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64))))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))
#s(literal 1 binary64)
(tan.f64 (*.f64 l (PI.f64)))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(neg.f64 F)
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)))
(*.f64 (PI.f64) l)
(PI.f64)
l
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
#s(literal 1 binary64)
(*.f64 F F)
F
(tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)
(*.f64 (PI.f64) l)
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)

localize95.0ms (1.3%)

Memory
22.8MiB live, 99.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.53515625
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
accuracy0.6183053616036813
(tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
accuracy3.075849506575172
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))
accuracy28.819610857930456
(PI.f64)
accuracy0.11556625976844201
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
accuracy0.13671875
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64))))
accuracy0.6183053616036813
(tan.f64 (*.f64 l (PI.f64)))
accuracy28.819610857930456
(PI.f64)
accuracy0.1015625
(*.f64 l (PI.f64))
accuracy0.6183053616036813
(tan.f64 (*.f64 l (PI.f64)))
accuracy3.099287006575172
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))
accuracy28.819610857930456
(PI.f64)
accuracy0.1015625
(*.f64 (PI.f64) l)
accuracy15.551217415479814
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
accuracy28.819610857930456
(PI.f64)
accuracy0.09765625
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
accuracy0.1015625
(*.f64 l (PI.f64))
accuracy0.6183053616036813
(tan.f64 (*.f64 l (PI.f64)))
accuracy28.819610857930456
(PI.f64)
Samples
35.0ms136×0valid
33.0ms119×0invalid
0.0ms1×1valid
Compiler

Compiled 448 to 70 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 12.0ms (24.8% of total)
ival-div: 11.0ms (22.8% of total)
ival-add: 8.0ms (16.6% of total)
ival-tanu: 6.0ms (12.4% of total)
ival-sub: 3.0ms (6.2% of total)
ival-cbrt: 2.0ms (4.1% of total)
ival-tan: 2.0ms (4.1% of total)
ival-pow: 2.0ms (4.1% of total)
ival-pi: 1.0ms (2.1% of total)
ival-neg: 1.0ms (2.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.4%)

Memory
0.4MiB live, 37.5MiB allocated
Counts
17 → 43
Calls
Call 1
Inputs
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64))))
(tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
Outputs
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))))))))))))
(/ (* l (PI)) 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)))
(* 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))))))
(* 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))))
(* -1 (/ (* l (PI)) (pow F 2)))
(* l (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))))))))
(/ (* 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))))
(* -1 (/ F (* l (PI))))
(/ (+ (* -1 (/ F (PI))) (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) l)
(/ (+ (* -1 (/ F (PI))) (* (pow l 2) (+ (* (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))))) l)
(/ (+ (* -1 (/ F (PI))) (* (pow l 2) (+ (* (pow l 2) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (+ (* (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))))) (/ (* 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))))) l)
(/ 1 (* l (PI)))
(/ (+ (* (pow l 2) (- (* -1/2 (PI)) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (+ (* 1/24 (pow (PI) 3)) (* (pow l 2) (- (+ (* -1/2 (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (+ (* -1/720 (pow (PI) 5)) (* 1/24 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))) (+ (* -1/5040 (pow (PI) 5)) (+ (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (PI)) (/ (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))))) (PI)))))))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (cos (* l (PI))) (sin (* l (PI))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
l
@0
((+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (* (/ 1 (tan (* l (PI)))) (neg F)) (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (cbrt (pow (PI) 3)) (* (/ 1 (* F F)) (tan (* (cbrt (pow (PI) 3)) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (cbrt (pow (PI) 3)) l)))) (/ 1 (tan (* l (PI)))) (tan (* (cbrt (pow (PI) 3)) l)))
5.0ms
F
@inf
((+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (* (/ 1 (tan (* l (PI)))) (neg F)) (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (cbrt (pow (PI) 3)) (* (/ 1 (* F F)) (tan (* (cbrt (pow (PI) 3)) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (cbrt (pow (PI) 3)) l)))) (/ 1 (tan (* l (PI)))) (tan (* (cbrt (pow (PI) 3)) l)))
4.0ms
F
@0
((+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (* (/ 1 (tan (* l (PI)))) (neg F)) (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (cbrt (pow (PI) 3)) (* (/ 1 (* F F)) (tan (* (cbrt (pow (PI) 3)) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (cbrt (pow (PI) 3)) l)))) (/ 1 (tan (* l (PI)))) (tan (* (cbrt (pow (PI) 3)) l)))
3.0ms
l
@-inf
((+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (* (/ 1 (tan (* l (PI)))) (neg F)) (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (cbrt (pow (PI) 3)) (* (/ 1 (* F F)) (tan (* (cbrt (pow (PI) 3)) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (cbrt (pow (PI) 3)) l)))) (/ 1 (tan (* l (PI)))) (tan (* (cbrt (pow (PI) 3)) l)))
3.0ms
l
@inf
((+ (* (/ (tan (* l (PI))) F) (/ -1 F)) (* l (PI))) (/ (tan (* l (PI))) F) (tan (* l (PI))) (* l (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (PI) l) (PI) (+ (* (PI) l) (/ (tan (* l (PI))) (* (neg F) F))) (/ (tan (* l (PI))) (* (neg F) F)) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (* (/ 1 (tan (* l (PI)))) (neg F)) (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (cbrt (pow (PI) 3)) (* (/ 1 (* F F)) (tan (* (cbrt (pow (PI) 3)) l))) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (cbrt (pow (PI) 3)) l)))) (/ 1 (tan (* l (PI)))) (tan (* (cbrt (pow (PI) 3)) l)))

simplify194.0ms (2.6%)

Memory
-5.8MiB live, 216.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03102081
19471921
235321645
081161553
Stop Event
1×iter limit
1×node limit
Counts
43 → 43
Calls
Call 1
Inputs
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))))))))))))
(/ (* l (PI)) 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)))
(* 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))))))
(* 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))))
(* -1 (/ (* l (PI)) (pow F 2)))
(* l (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))))))))
(/ (* 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))))
(* -1 (/ F (* l (PI))))
(/ (+ (* -1 (/ F (PI))) (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) l)
(/ (+ (* -1 (/ F (PI))) (* (pow l 2) (+ (* (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))))) l)
(/ (+ (* -1 (/ F (PI))) (* (pow l 2) (+ (* (pow l 2) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (+ (* (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))))) (/ (* 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))))) l)
(/ 1 (* l (PI)))
(/ (+ (* (pow l 2) (- (* -1/2 (PI)) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (+ (* 1/24 (pow (PI) 3)) (* (pow l 2) (- (+ (* -1/2 (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (+ (* -1/720 (pow (PI) 5)) (* 1/24 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))) (+ (* -1/5040 (pow (PI) 5)) (+ (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (PI)) (/ (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))))) (PI)))))))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (cos (* l (PI))) (sin (* l (PI))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
Outputs
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
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(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (/ (* F (cos (* l (PI)))) (sin (* l (PI)))))
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(* l (PI))
(*.f64 (PI.f64) l)
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
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(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2))))))
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(/ (* l (PI)) F)
(*.f64 (/.f64 (PI.f64) F) l)
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
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(* 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)))
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(* 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)))
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(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 l l) (PI.f64)) l)
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(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
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(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(* 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 (fma.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) l)
(* 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 (-.f64 (PI.f64) (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (*.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) F) F) (*.f64 l l))) (*.f64 l l) (/.f64 (PI.f64) (*.f64 F F)))) l)
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(* -1 (/ (* l (PI)) (pow F 2)))
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(*.f64 (neg.f64 l) (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F)) (*.f64 l l) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))))))
(*.f64 (fma.f64 (neg.f64 (pow.f64 l #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) F) F) (fma.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))) l)
(* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))))))))
(*.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/5040 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F)) (fma.f64 (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (/.f64 (PI.f64) F) (/.f64 (PI.f64) F))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) F) (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F) (*.f64 (/.f64 #s(literal -1/720 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F))))) l) l (/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) F) F))) (fma.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F))) l)
(/ (* l (PI)) (pow F 2))
(*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l))
(* 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 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (*.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) F) F) (*.f64 l l))) (*.f64 l l) (/.f64 (PI.f64) (*.f64 F F))) l)
(* 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 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/5040 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F)) (fma.f64 (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (/.f64 (PI.f64) F) (/.f64 (PI.f64) F))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) F) (/.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) F) (*.f64 (/.f64 #s(literal -1/720 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F))))) l) l (/.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) F) F)) l) l (*.f64 (/.f64 #s(literal 1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F))) (*.f64 l l) (/.f64 (PI.f64) (*.f64 F F))) l)
(* -1 (/ F (* l (PI))))
(/.f64 (/.f64 (neg.f64 F) l) (PI.f64))
(/ (+ (* -1 (/ F (PI))) (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) l)
(/.f64 (*.f64 (/.f64 F (PI.f64)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) l) l) (PI.f64)) #s(literal -1 binary64))) l)
(/ (+ (* -1 (/ F (PI))) (* (pow l 2) (+ (* (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))))) l)
(/.f64 (fma.f64 (/.f64 F (PI.f64)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) l) l) (PI.f64)) #s(literal -1 binary64)) (*.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (/.f64 F (*.f64 (PI.f64) (PI.f64))) (-.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (PI.f64)))))) l)
(/ (+ (* -1 (/ F (PI))) (* (pow l 2) (+ (* (pow l 2) (+ (* -1 (/ (* F (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (+ (* (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))))) (/ (* 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))))) l)
(/.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 (/.f64 F (*.f64 (PI.f64) (PI.f64))) (-.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (PI.f64))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 F (*.f64 (PI.f64) (PI.f64))) (-.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (PI.f64)))) (pow.f64 (PI.f64) #s(literal 3 binary64))) (PI.f64)) #s(literal -1/3 binary64) (*.f64 F (fma.f64 (neg.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/5040 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)))))) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 l l))) (*.f64 (/.f64 F (PI.f64)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) l) l) (PI.f64)) #s(literal -1 binary64)))) l)
(/ 1 (* l (PI)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))
(/ (+ (* (pow l 2) (- (* -1/2 (PI)) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (PI.f64)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (*.f64 l l) (*.f64 #s(literal -1/3 binary64) (PI.f64))) (*.f64 l l) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (+ (* 1/24 (pow (PI) 3)) (* (pow l 2) (- (+ (* -1/2 (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (+ (* -1/720 (pow (PI) 5)) (* 1/24 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))) (+ (* -1/5040 (pow (PI) 5)) (+ (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (PI)) (/ (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))))) (PI)))))))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (PI.f64) (*.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64))))) (fma.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (PI.f64)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (PI.f64)) (*.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))))) (*.f64 l l) (fma.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (PI.f64)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/8 binary64))))) (*.f64 l l))) (*.f64 l l) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/ (cos (* l (PI))) (sin (* l (PI))))
(/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l)))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)

rewrite189.0ms (2.5%)

Memory
17.9MiB live, 175.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036155
061142
1247124
21780124
08150124
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 684
Calls
Call 1
Inputs
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) F)
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64))))
(tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
Outputs
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(*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (cos.f64 (*.f64 (PI.f64) l)))
(*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(pow.f64 (exp.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 (cos.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))
(pow.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (neg.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (neg.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)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64))))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)))
(tan.f64 (*.f64 (PI.f64) l))
(exp.f64 (neg.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))))

eval191.0ms (2.5%)

Memory
-11.0MiB live, 238.4MiB allocated
Compiler

Compiled 19 136 to 2 476 computations (87.1% saved)

prune28.0ms (0.4%)

Memory
-3.9MiB live, 72.2MiB allocated
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New81812830
Fresh5611
Picked325
Done000
Total82620846
Accuracy
99.7%
Counts
846 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.7%
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 l (fma.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (*.f64 l (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))) #s(literal 2 binary64)) (fma.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (*.f64 l (PI.f64))))))
67.3%
(fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
86.4%
(fma.f64 (PI.f64) l (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
86.4%
(fma.f64 (PI.f64) l (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))) (neg.f64 F)))
81.8%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)))
✓81.8%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
▶86.4%
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
77.5%
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
77.5%
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
▶81.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))))
▶91.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
▶77.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))) (neg.f64 F))))
77.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (* (/ 1 (tan (* l (PI)))) (neg F)) (/.f64 (/.f64 (neg.f64 F) l) (PI.f64)))))
80.9%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
72.8%
(-.f64 (*.f64 (PI.f64) l) #s(approx (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
21.4%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
54.5%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
▶72.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
74.9%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
✓75.5%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Compiler

Compiled 822 to 578 computations (29.7% saved)

simplify240.0ms (3.2%)

Memory
29.6MiB live, 149.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 l (PI.f64))
cost-diff0
(-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))))
cost-diff0
(*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
cost-diff576
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F))
cost-diff0
(/.f64 #s(literal -1 binary64) F)
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff128
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))) (neg.f64 F))))
cost-diff0
(PI.f64)
cost-diff0
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
cost-diff0
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
cost-diff0
(/.f64 #s(literal -1 binary64) F)
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff128
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051395
086391
1153387
2316383
3725383
41654383
52985383
63764383
74199383
84513383
94707383
104891383
115105383
125499383
135799383
146089383
156278383
166881383
177757383
08821381
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F)))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))
#s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l)
(*.f64 #s(literal -1/3 binary64) (PI.f64))
#s(literal -1/3 binary64)
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(neg.f64 F)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 F F)
F
l
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))) (neg.f64 F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))) (neg.f64 F)))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))) (neg.f64 F))
#s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))
#s(literal 1 binary64)
(neg.f64 F)
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
(PI.f64)
l
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F))
#s(literal -1 binary64)
(*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
F
(tan.f64 (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)))))
(-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))
(*.f64 l (PI.f64))
l
(PI.f64)
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)))
(tan.f64 (*.f64 l (PI.f64)))
(pow.f64 F #s(literal -2 binary64))
F
#s(literal -2 binary64)
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
(fma.f64 l (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) F) #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l))))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(PI.f64)
l
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l))) F)
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))
(*.f64 (neg.f64 F) #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)))
#s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l)
(*.f64 #s(literal -1/3 binary64) (PI.f64))
#s(literal -1/3 binary64)
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(neg.f64 F)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(PI.f64)
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 F F)
F
l
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))) (neg.f64 F))))
(fma.f64 l (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) F) #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l))))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(PI.f64)
l
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))) (neg.f64 F)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l)))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))) (neg.f64 F))
(*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l)) (neg.f64 F))
#s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)))
#s(approx (/ 1 (tan (* l (PI)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l)
#s(literal 1 binary64)
(neg.f64 F)
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
(fma.f64 l (PI.f64) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(PI.f64)
l
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F))
#s(literal -1 binary64)
(*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)
(/.f64 (*.f64 F F) (tan.f64 (*.f64 l (PI.f64))))
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
F
(tan.f64 (*.f64 (PI.f64) l))
(tan.f64 (*.f64 l (PI.f64)))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))))
(-.f64 (*.f64 l (PI.f64)) (*.f64 (pow.f64 F #s(literal -2 binary64)) (tan.f64 (*.f64 l (PI.f64)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (pow.f64 F #s(literal -2 binary64)) (tan.f64 (*.f64 l (PI.f64))))))
(-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))
(-.f64 (*.f64 l (PI.f64)) (*.f64 (pow.f64 F #s(literal -2 binary64)) (tan.f64 (*.f64 l (PI.f64)))))
(*.f64 l (PI.f64))
l
(PI.f64)
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)))
(*.f64 (pow.f64 F #s(literal -2 binary64)) (tan.f64 (*.f64 l (PI.f64))))
(tan.f64 (*.f64 l (PI.f64)))
(pow.f64 F #s(literal -2 binary64))
F
#s(literal -2 binary64)

localize367.0ms (4.9%)

Memory
-62.9MiB live, 205.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.5806250831307113
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)))))
accuracy0.6183053616036813
(tan.f64 (*.f64 l (PI.f64)))
accuracy3.075849506575172
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)))
accuracy28.819610857930456
(PI.f64)
accuracy0.0859375
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
accuracy0.1015625
(*.f64 (PI.f64) l)
accuracy0.6183053616036813
(tan.f64 (*.f64 (PI.f64) l))
accuracy28.819610857930456
(PI.f64)
accuracy0.11556625976844201
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))) (neg.f64 F)))
accuracy0.13671875
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))
accuracy2.2390243430551697
#s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)))
accuracy28.819610857930456
(PI.f64)
accuracy0.35983731535705404
(/.f64 (PI.f64) (*.f64 F F))
accuracy0.7455651904107102
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
accuracy3.071943256575172
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
accuracy28.819610857930456
(PI.f64)
accuracy0.3515625
(*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l)
accuracy0.53515625
(*.f64 #s(literal -1/3 binary64) (PI.f64))
accuracy2.0394572118219636
#s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l))
accuracy28.819610857930456
(PI.f64)
Samples
239.0ms119×0invalid
70.0ms137×0valid
Compiler

Compiled 709 to 93 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 259.0ms
ival-mult: 192.0ms (74.2% of total)
const: 31.0ms (12% of total)
ival-div: 17.0ms (6.6% of total)
ival-tanu: 7.0ms (2.7% of total)
ival-sub: 4.0ms (1.5% of total)
ival-pow: 3.0ms (1.2% of total)
ival-add: 2.0ms (0.8% of total)
ival-pi: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory
0.1MiB live, 38.2MiB allocated
Counts
26 → 69
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
(*.f64 (PI.f64) l)
(PI.f64)
(/.f64 #s(literal -1 binary64) F)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))) (neg.f64 F))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
(*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)))))
(-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))
(*.f64 l (PI.f64))
#s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l))
(*.f64 #s(literal -1/3 binary64) (PI.f64))
(*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l)
(/.f64 (PI.f64) (*.f64 F F))
#s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))) (neg.f64 F)))
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)))
(tan.f64 (*.f64 l (PI.f64)))
Outputs
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ -1 F)
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* -1 (/ (PI) (pow F 2)))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(* -1 (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* -1 (/ (* (pow F 2) (* l (* (PI) (pow (cos (* l (PI))) 2)))) (pow (sin (* l (PI))) 2)))))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3)))) (pow (sin (* l (PI))) 3))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2))))))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 4)))) (pow (sin (* l (PI))) 4))) (/ (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3))) (pow (sin (* l (PI))) 3)))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2))))))
(/ (PI) (pow F 2))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(PI)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(/ 1 (* l (PI)))
(+ (/ 1 (* l (PI))) (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI))))))))
(- (+ (/ 1 (* l (PI))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI)))))))))
(- (+ (/ 1 (* l (PI))) (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* (pow l 4) (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI)))))))) (* -1 (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))))))
(* 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 (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))))))
(* l (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))))))))
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))))))))))))
(/ (pow F 2) (* l (PI)))
(/ (+ (* -1 (/ (* (pow F 2) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ (pow F 2) (PI))) l)
(/ (+ (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* (pow F 2) (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* (pow F 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 (PI) 2))))) (/ (* (pow F 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ (pow F 2) (PI))) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (pow F 2) (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* (pow F 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 (PI) 2))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))) (+ (* -1 (/ (* (pow F 2) (* (- (* -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))) (/ (* (pow F 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))))))))) (pow (PI) 2)))))) (+ (* -1 (/ (* (pow F 2) (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* (pow F 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 (PI) 2))))) (/ (* (pow F 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ (pow F 2) (PI))) l)
(/ 1 (* l (- (PI) (/ (PI) (pow F 2)))))
(/ (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))))) (/ 1 (- (PI) (/ (PI) (pow F 2))))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* 1/24 (/ (pow (PI) 5) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (/ (* (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))) (- (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))))) (- (PI) (/ (PI) (pow F 2))))))))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))))) (/ 1 (- (PI) (/ (PI) (pow F 2))))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 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) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* -1/720 (/ (pow (PI) 7) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (/ (* (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))) (- (* 1/120 (/ (pow (PI) 5) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* 1/24 (/ (pow (PI) 5) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (/ (* (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))) (- (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))))) (- (PI) (/ (PI) (pow F 2)))))))) (- (PI) (/ (PI) (pow F 2)))) (/ (* (- (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 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))))) (- (PI) (/ (PI) (pow F 2))))))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* 1/24 (/ (pow (PI) 5) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (/ (* (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))) (- (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))))) (- (PI) (/ (PI) (pow F 2))))))))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))))) (/ 1 (- (PI) (/ (PI) (pow F 2))))) l)
(/ (+ (* (pow l 2) (- (* -1/2 (PI)) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (+ (* 1/24 (pow (PI) 3)) (* (pow l 2) (- (+ (* -1/2 (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (+ (* -1/720 (pow (PI) 5)) (* 1/24 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))) (+ (* -1/5040 (pow (PI) 5)) (+ (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (PI)) (/ (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))))) (PI)))))))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)
(* -1/3 (* 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))))
(* 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))))))
(/ F (* l (PI)))
(/ (+ (* -1 (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ F (PI))) l)
(/ (+ (* (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)
(/ (+ (* (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)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(/ (+ (/ 1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) l)
(/ (- (+ (/ 1 (PI)) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 2) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI))))))))) l)
(/ (- (+ (/ 1 (PI)) (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* (pow l 3) (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) (* -1 (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 2) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))))) l)
(/ (cos (* l (PI))) (sin (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (- (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) (/ 1 (PI))) l))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* l (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* l (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) l)) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
F
@0
((- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (* (PI) l) (PI) (/ -1 F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (/ -1 (* (/ F (tan (* (PI) l))) F)) (+ (* (PI) l) (/ -1 (* (/ F (tan (* (PI) l))) F))) (* (/ F (tan (* (PI) l))) F) (/ 1 (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2))))) (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (- (* l (PI)) (* (tan (* l (PI))) (pow F -2))) (* l (PI)) (/ 1 (tan (* l (PI)))) (* -1/3 (PI)) (* (* -1/3 (PI)) l) (/ (PI) (* F F)) (/ 1 (tan (* l (PI)))) (/ 1 (* (PI) l)) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (tan (* (PI) l)) (/ F (tan (* (PI) l))) (* (tan (* l (PI))) (pow F -2)) (tan (* l (PI))))
8.0ms
l
@0
((- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (* (PI) l) (PI) (/ -1 F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (/ -1 (* (/ F (tan (* (PI) l))) F)) (+ (* (PI) l) (/ -1 (* (/ F (tan (* (PI) l))) F))) (* (/ F (tan (* (PI) l))) F) (/ 1 (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2))))) (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (- (* l (PI)) (* (tan (* l (PI))) (pow F -2))) (* l (PI)) (/ 1 (tan (* l (PI)))) (* -1/3 (PI)) (* (* -1/3 (PI)) l) (/ (PI) (* F F)) (/ 1 (tan (* l (PI)))) (/ 1 (* (PI) l)) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (tan (* (PI) l)) (/ F (tan (* (PI) l))) (* (tan (* l (PI))) (pow F -2)) (tan (* l (PI))))
6.0ms
l
@-inf
((- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (* (PI) l) (PI) (/ -1 F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (/ -1 (* (/ F (tan (* (PI) l))) F)) (+ (* (PI) l) (/ -1 (* (/ F (tan (* (PI) l))) F))) (* (/ F (tan (* (PI) l))) F) (/ 1 (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2))))) (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (- (* l (PI)) (* (tan (* l (PI))) (pow F -2))) (* l (PI)) (/ 1 (tan (* l (PI)))) (* -1/3 (PI)) (* (* -1/3 (PI)) l) (/ (PI) (* F F)) (/ 1 (tan (* l (PI)))) (/ 1 (* (PI) l)) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (tan (* (PI) l)) (/ F (tan (* (PI) l))) (* (tan (* l (PI))) (pow F -2)) (tan (* l (PI))))
4.0ms
l
@inf
((- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (* (PI) l) (PI) (/ -1 F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (/ -1 (* (/ F (tan (* (PI) l))) F)) (+ (* (PI) l) (/ -1 (* (/ F (tan (* (PI) l))) F))) (* (/ F (tan (* (PI) l))) F) (/ 1 (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2))))) (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (- (* l (PI)) (* (tan (* l (PI))) (pow F -2))) (* l (PI)) (/ 1 (tan (* l (PI)))) (* -1/3 (PI)) (* (* -1/3 (PI)) l) (/ (PI) (* F F)) (/ 1 (tan (* l (PI)))) (/ 1 (* (PI) l)) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (tan (* (PI) l)) (/ F (tan (* (PI) l))) (* (tan (* l (PI))) (pow F -2)) (tan (* l (PI))))
4.0ms
F
@inf
((- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (* (PI) l) (PI) (/ -1 F) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (PI) (* F F))) l) (- (PI) (/ (PI) (* F F))) (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (/ -1 (* (/ F (tan (* (PI) l))) F)) (+ (* (PI) l) (/ -1 (* (/ F (tan (* (PI) l))) F))) (* (/ F (tan (* (PI) l))) F) (/ 1 (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2))))) (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (- (* l (PI)) (* (tan (* l (PI))) (pow F -2))) (* l (PI)) (/ 1 (tan (* l (PI)))) (* -1/3 (PI)) (* (* -1/3 (PI)) l) (/ (PI) (* F F)) (/ 1 (tan (* l (PI)))) (/ 1 (* (PI) l)) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (tan (* (PI) l)) (/ F (tan (* (PI) l))) (* (tan (* l (PI))) (pow F -2)) (tan (* l (PI))))

simplify248.0ms (3.3%)

Memory
44.9MiB live, 234.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04813655
114723386
261592972
084182862
Stop Event
1×iter limit
1×node limit
Counts
69 → 69
Calls
Call 1
Inputs
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ -1 F)
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* -1 (/ (PI) (pow F 2)))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(* -1 (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* -1 (/ (* (pow F 2) (* l (* (PI) (pow (cos (* l (PI))) 2)))) (pow (sin (* l (PI))) 2)))))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3)))) (pow (sin (* l (PI))) 3))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2))))))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 4)))) (pow (sin (* l (PI))) 4))) (/ (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3))) (pow (sin (* l (PI))) 3)))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2))))))
(/ (PI) (pow F 2))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(PI)
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(/ 1 (* l (PI)))
(+ (/ 1 (* l (PI))) (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI))))))))
(- (+ (/ 1 (* l (PI))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI)))))))))
(- (+ (/ 1 (* l (PI))) (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* (pow l 4) (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI)))))))) (* -1 (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))))))
(* 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))))
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(/ (pow F 2) (* l (PI)))
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(/ 1 (* l (- (PI) (/ (PI) (pow F 2)))))
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(/ (+ (* (pow l 2) (- (* -1/2 (PI)) (* -1/6 (PI)))) (/ 1 (PI))) l)
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(* -1/3 (* 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))))
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(* 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))))))
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(/ F (* l (PI)))
(/ (+ (* -1 (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ F (PI))) l)
(/ (+ (* (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)
(/ (+ (* (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)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(/ (+ (/ 1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) l)
(/ (- (+ (/ 1 (PI)) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 2) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI))))))))) l)
(/ (- (+ (/ 1 (PI)) (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* (pow l 3) (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) (* -1 (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 2) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))))) l)
(/ (cos (* l (PI))) (sin (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (- (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) (/ 1 (PI))) l))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* l (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) l)) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l))
Outputs
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 (PI.f64) l))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
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(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(* -1 (/ (* l (PI)) (pow F 2)))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 (fma.f64 F F #s(literal -1 binary64)) F))
(* -1 (/ (PI) (pow F 2)))
(/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
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(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(*.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))))
(* -1 (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))))
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(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/5040 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F)) (fma.f64 (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) F) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) F) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F) (/.f64 #s(literal -1/720 binary64) F))))) (*.f64 l l) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (*.f64 F F))) (*.f64 l l) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 #s(literal 1/3 binary64) F))) (pow.f64 l #s(literal 3 binary64)) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 l l) (PI.f64)) l)
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 l l) (PI.f64)) l)
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64))))) (*.f64 l l) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64))))) (*.f64 l l) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 l l) (PI.f64)) l)
(/ F (* l (PI)))
(/.f64 F (*.f64 (PI.f64) l))
(/ (+ (* -1 (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ F (PI))) l)
(/.f64 (-.f64 (/.f64 F (PI.f64)) (*.f64 (/.f64 (*.f64 (*.f64 l l) F) (PI.f64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (PI.f64)))) l)
(/ (+ (* (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)
(/.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 F (*.f64 (PI.f64) (PI.f64))) (-.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (PI.f64)))) (*.f64 l l) (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (PI.f64)) (PI.f64)) F))) (*.f64 l l) (/.f64 F (PI.f64))) l)
(/ (+ (* (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)
(/.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 F (PI.f64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (PI.f64)) (*.f64 (neg.f64 (fma.f64 (fma.f64 F (fma.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64))))) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (PI.f64))) (*.f64 (/.f64 F (*.f64 (PI.f64) (PI.f64))) (-.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (PI.f64)))))) (*.f64 l l) (*.f64 (/.f64 F (*.f64 (PI.f64) (PI.f64))) (-.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (PI.f64)))))) (*.f64 l l))) (*.f64 l l) (/.f64 F (PI.f64))) l)
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(/ (+ (/ 1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) l)
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (*.f64 (PI.f64) (PI.f64)) l)) (cos.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(/ (- (+ (/ 1 (PI)) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 2) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI))))))))) l)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (PI.f64) (PI.f64))) (cos.f64 (*.f64 (PI.f64) l))) (/.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 F #s(literal 4 binary64)) l) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64))))) l) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(/ (- (+ (/ 1 (PI)) (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* (pow l 3) (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) (* -1 (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 2) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))))) l)
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 3 binary64)) (*.f64 (pow.f64 F #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (PI.f64) (PI.f64))) (cos.f64 (*.f64 (PI.f64) l))) (/.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 F #s(literal 4 binary64)) l) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64))))) l)) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(/ (cos (* l (PI))) (sin (* l (PI))))
(/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (/ (- (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) (/ 1 (PI))) l))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (*.f64 (PI.f64) (PI.f64)) l)) (cos.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* l (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (PI.f64) (PI.f64))) (cos.f64 (*.f64 (PI.f64) l))) (/.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 F #s(literal 4 binary64)) l) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64))))) l) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* l (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) l)) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 F #s(literal 6 binary64)) l) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 3 binary64)))) (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)) (*.f64 (pow.f64 F #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)))) l) (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (PI.f64) (PI.f64))) (cos.f64 (*.f64 (PI.f64) l)))) l) (/.f64 #s(literal 1 binary64) (PI.f64))) l)

rewrite199.0ms (2.7%)

Memory
2.3MiB live, 197.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051266
086264
1344249
22680249
09188249
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 1 036
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
(*.f64 (PI.f64) l)
(PI.f64)
(/.f64 #s(literal -1 binary64) F)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))) (neg.f64 F))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
(*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)))))
(-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))
(*.f64 l (PI.f64))
#s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l))
(*.f64 #s(literal -1/3 binary64) (PI.f64))
(*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l)
(/.f64 (PI.f64) (*.f64 F F))
#s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))) (neg.f64 F)))
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)))
(tan.f64 (*.f64 l (PI.f64)))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 l (PI.f64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 F #s(literal -2 binary64)) #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (pow.f64 (PI.f64) #s(literal -1 binary64))) l))) #s(literal 2 binary64))) (pow.f64 (fma.f64 l (PI.f64) (/.f64 (pow.f64 F #s(literal -2 binary64)) #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (pow.f64 (PI.f64) #s(literal -1 binary64))) l)))) #s(literal -1 binary64)))
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(neg.f64 (/.f64 (neg.f64 F) (tan.f64 (*.f64 l (PI.f64)))))
(neg.f64 (/.f64 F (neg.f64 (tan.f64 (*.f64 l (PI.f64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 (*.f64 l (PI.f64))))) (/.f64 F (neg.f64 (tan.f64 (*.f64 l (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 F F) (sin.f64 (*.f64 l (PI.f64)))) #s(literal -1 binary64)) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (pow.f64 F #s(literal -1 binary64)))
(*.f64 (pow.f64 F #s(literal -1 binary64)) (*.f64 (pow.f64 F #s(literal -1 binary64)) (tan.f64 (*.f64 l (PI.f64)))))
(*.f64 (pow.f64 F #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)))
(*.f64 (pow.f64 F #s(literal -2 binary64)) (tan.f64 (*.f64 l (PI.f64))))
(*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))
(pow.f64 (/.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 l (PI.f64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 l (PI.f64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (sin.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) #s(literal -1 binary64)) (*.f64 (neg.f64 F) F))
(/.f64 (*.f64 (pow.f64 F #s(literal -2 binary64)) (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (*.f64 (pow.f64 F #s(literal -1 binary64)) (tan.f64 (*.f64 l (PI.f64)))) F)
(/.f64 (*.f64 (sin.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -1 binary64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (*.f64 (sin.f64 (*.f64 l (PI.f64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 F F)))
(/.f64 (*.f64 (sin.f64 (*.f64 l (PI.f64))) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(/.f64 (*.f64 (pow.f64 F #s(literal -1 binary64)) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 l (PI.f64)))) (*.f64 (*.f64 (neg.f64 F) F) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)
(/.f64 (pow.f64 F #s(literal -1 binary64)) (/.f64 F (tan.f64 (*.f64 l (PI.f64)))))
(/.f64 (neg.f64 (tan.f64 (*.f64 l (PI.f64)))) (*.f64 (neg.f64 F) F))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 l (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (tan.f64 (*.f64 l (PI.f64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 F) F) (tan.f64 (*.f64 l (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 l (PI.f64))))) #s(literal -1 binary64)))
(*.f64 (sin.f64 (*.f64 l (PI.f64))) (pow.f64 (cos.f64 (*.f64 l (PI.f64))) #s(literal -1 binary64)))
(*.f64 (tan.f64 (*.f64 l (PI.f64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64))))
(pow.f64 (/.f64 (cos.f64 (*.f64 l (PI.f64))) (sin.f64 (*.f64 l (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (tan.f64 (*.f64 l (PI.f64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 l (PI.f64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) (neg.f64 (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 l (PI.f64)))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (neg.f64 (tan.f64 (*.f64 l (PI.f64)))) #s(literal -1 binary64))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/.f64 (tan.f64 (*.f64 l (PI.f64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 l (PI.f64))) (sin.f64 (*.f64 l (PI.f64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (*.f64 l (PI.f64))) #s(literal -1 binary64)))
(tan.f64 (*.f64 l (PI.f64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (tan.f64 (*.f64 l (PI.f64)))) #s(literal -1 binary64))))

eval259.0ms (3.5%)

Memory
0.6MiB live, 363.8MiB allocated
Compiler

Compiled 40 950 to 5 170 computations (87.4% saved)

prune195.0ms (2.6%)

Memory
-1.1MiB live, 109.3MiB allocated
Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New1 286161 302
Fresh5813
Picked235
Done022
Total1 293291 322
Accuracy
99.7%
Counts
1 322 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.3%
(fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
86.4%
(fma.f64 (PI.f64) l (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
86.4%
(fma.f64 (PI.f64) l (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) F))
✓81.8%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
86.4%
(fma.f64 (PI.f64) l (/.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))))))
▶77.4%
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l))) F)))
77.4%
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) #s(approx (* (/ F (tan (* (PI) l))) F) (*.f64 (/.f64 F l) (/.f64 F (PI.f64))))))
79.2%
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (PI.f64)) l) F) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 F) #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (pow.f64 (PI.f64) #s(literal -1 binary64))) l)))))) (neg.f64 F))
▶75.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))))
▶91.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
✓91.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
✓77.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))) (neg.f64 F))))
77.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (* (/ 1 (tan (* l (PI)))) (neg F)) (/.f64 (/.f64 (neg.f64 F) l) (PI.f64)))))
80.9%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
72.8%
(-.f64 (*.f64 (PI.f64) l) #s(approx (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
21.4%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
60.4%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64)) #s(literal 2 binary64))) l) (fma.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64) (PI.f64))))
▶54.5%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
46.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 F F)) (PI.f64)) (*.f64 #s(literal 1 binary64) (*.f64 F F))) l))
72.4%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) F) (/.f64 (PI.f64) F)) (*.f64 #s(literal 1 binary64) F)) l))
▶72.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F))) l))
✓72.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
72.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) F) (/.f64 (sqrt.f64 (PI.f64)) F))) l))
74.9%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
✓75.5%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
19.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
72.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))) l))
49.5%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 (fma.f64 F F #s(literal -1 binary64)) F))))
24.4%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
Compiler

Compiled 1 349 to 931 computations (31% saved)

simplify198.0ms (2.6%)

Memory
1.0MiB live, 204.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F)))
cost-diff0
(*.f64 (-.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F))) l)
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F))) l))
cost-diff12864
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff0
(/.f64 (PI.f64) F)
cost-diff0
(*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)
cost-diff0
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
cost-diff704
(fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64))
cost-diff0
#s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l)))
cost-diff0
(*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l))) F)
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l))) F)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff0
#s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) l)
cost-diff128
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
cost-diff1600
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061496
0100481
1182445
2398443
31050443
43291443
56909443
08508436
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
(*.f64 (PI.f64) l)
(PI.f64)
l
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F)))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))
#s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l)
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64)))
#s(literal -1/3 binary64)
(sqrt.f64 (PI.f64))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(neg.f64 F)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))))
#s(literal 1 binary64)
#s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))
(*.f64 (PI.f64) l)
(PI.f64)
l
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l))) F)))
(PI.f64)
l
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l))) F))
#s(literal -1 binary64)
(*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l))) F)
#s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l)))
(/.f64 F (*.f64 (PI.f64) l))
F
(*.f64 (PI.f64) l)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
(*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)
(fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64))
(/.f64 (PI.f64) F)
(PI.f64)
F
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F))
(/.f64 (*.f64 (PI.f64) (PI.f64)) F)
(*.f64 (PI.f64) (PI.f64))
(*.f64 #s(literal -1/3 binary64) (*.f64 l l))
#s(literal -1/3 binary64)
(*.f64 l l)
l
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F))) l))
(*.f64 (-.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F))) l)
(-.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F)))
(PI.f64)
(/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 F F)
F
l
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
(fma.f64 l (PI.f64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) F) #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) l) (PI.f64)) l (/.f64 #s(literal 1 binary64) (PI.f64))) l))))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(PI.f64)
l
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) l) (PI.f64)) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)))
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
F
(*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))
(*.f64 (neg.f64 F) #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) l) (PI.f64)) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)))
#s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l))
#s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) l) (PI.f64)) l (/.f64 #s(literal 1 binary64) (PI.f64))) l))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) l) (PI.f64)) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64)))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) l) (PI.f64)) l (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l)
(*.f64 (*.f64 #s(literal -1/3 binary64) l) (PI.f64))
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal -1/3 binary64) (PI.f64))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(sqrt.f64 (PI.f64))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(neg.f64 F)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l)))
#s(literal 1 binary64)
#s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)))
#s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l)
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(PI.f64)
l
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l))) F)))
(fma.f64 l (PI.f64) (/.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 l (PI.f64))))))
(PI.f64)
l
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l))) F))
(/.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 l (PI.f64)))))
#s(literal -1 binary64)
(*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l))) F)
(*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 l (PI.f64)))) F)
#s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l)))
#s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 l (PI.f64))))
(/.f64 F (*.f64 (PI.f64) l))
(/.f64 F (*.f64 l (PI.f64)))
F
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) F) F) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (*.f64 #s(literal -1/3 binary64) l) #s(literal -1 binary64)) (PI.f64)) l))
(*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)
(*.f64 (fma.f64 (/.f64 (/.f64 (PI.f64) F) F) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (*.f64 #s(literal -1/3 binary64) l) #s(literal -1 binary64)) (PI.f64)) l)
(fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64))
(fma.f64 (/.f64 (/.f64 (PI.f64) F) F) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (*.f64 #s(literal -1/3 binary64) l) #s(literal -1 binary64)) (PI.f64))
(/.f64 (PI.f64) F)
(PI.f64)
F
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F))
(fma.f64 (/.f64 l F) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)) l) (/.f64 #s(literal -1 binary64) F))
(/.f64 (*.f64 (PI.f64) (PI.f64)) F)
(*.f64 (/.f64 (PI.f64) F) (PI.f64))
(*.f64 (PI.f64) (PI.f64))
(*.f64 #s(literal -1/3 binary64) (*.f64 l l))
(*.f64 (*.f64 l l) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 l l)
l
(/.f64 #s(literal -1 binary64) F)
#s(literal -1 binary64)
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l))
(*.f64 (-.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F))) l)
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l)
(-.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F)))
(-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))
(PI.f64)
(/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F))
(/.f64 (/.f64 (PI.f64) F) F)
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 F F)
F
l

localize194.0ms (2.6%)

Memory
5.6MiB live, 279.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.53515625
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
accuracy0.7455651904107102
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F))) l))
accuracy3.071943256575172
(*.f64 (-.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F))) l)
accuracy28.819610857930456
(PI.f64)
accuracy0.19140625
(/.f64 (*.f64 (PI.f64) (PI.f64)) F)
accuracy0.9738315119713192
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
accuracy3.079755756575172
(*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)
accuracy28.819610857930456
(PI.f64)
accuracy0.0859375
(/.f64 F (*.f64 (PI.f64) l))
accuracy0.1015625
(*.f64 (PI.f64) l)
accuracy2.2360849331178843
#s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l)))
accuracy28.819610857930456
(PI.f64)
accuracy0.1015625
(*.f64 (PI.f64) l)
accuracy0.13671875
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))
accuracy15.552312443032262
#s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)))
accuracy28.819610857930456
(PI.f64)
accuracy0.3515625
(*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l)
accuracy0.53515625
(sqrt.f64 (PI.f64))
accuracy2.0394572118219636
#s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l))
accuracy28.819610857930456
(PI.f64)
Samples
92.0ms119×0invalid
53.0ms137×0valid
Compiler

Compiled 863 to 119 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-add: 45.0ms (37.5% of total)
ival-mult: 24.0ms (20% of total)
ival-div: 22.0ms (18.4% of total)
const: 7.0ms (5.8% of total)
ival-tanu: 6.0ms (5% of total)
ival-pow: 5.0ms (4.2% of total)
ival-sub: 4.0ms (3.3% of total)
ival-cbrt: 2.0ms (1.7% of total)
ival-sqrt: 2.0ms (1.7% of total)
ival-pi: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series66.0ms (0.9%)

Memory
-10.9MiB live, 69.8MiB allocated
Counts
23 → 72
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
(*.f64 (PI.f64) l)
(PI.f64)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))))
#s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l))) F)))
(*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l))) F)
#s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l)))
(fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
(*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)
(/.f64 (PI.f64) F)
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F))) l))
(*.f64 (-.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F))) l)
(-.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F)))
#s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l))
(sqrt.f64 (PI.f64))
(*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l)
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))
(/.f64 F (*.f64 (PI.f64) l))
(/.f64 (*.f64 (PI.f64) (PI.f64)) F)
Outputs
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* -1 (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* -1 (/ (* (pow F 2) (* l (* (PI) (pow (cos (* l (PI))) 2)))) (pow (sin (* l (PI))) 2)))))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3)))) (pow (sin (* l (PI))) 3))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2))))))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 4)))) (pow (sin (* l (PI))) 4))) (/ (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3))) (pow (sin (* l (PI))) 3)))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2))))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (pow F 2))
(/ (+ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (* (pow F 2) (PI))) (pow F 2))
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (PI) F)
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* -1 (/ (PI) (pow F 2)))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(/ F (* l (PI)))
(/ (pow (PI) 2) F)
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ 1 (* l (PI)))
(+ (/ 1 (* l (PI))) (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI))))))))
(- (+ (/ 1 (* l (PI))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI)))))))))
(- (+ (/ 1 (* l (PI))) (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* (pow l 4) (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI)))))))) (* -1 (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))))))
(PI)
(+ (PI) (/ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (pow F 2)))
(+ (* l (PI)) (/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (* (PI) (+ 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))) (pow F 2))))
(+ (* -1 (/ (* l (* (PI) (+ 1 (* 1/3 (* (pow l 2) (pow (PI) 2)))))) (pow F 2))) (* 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))))
(/ 1 (* l (- (PI) (/ (PI) (pow F 2)))))
(/ (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))))) (/ 1 (- (PI) (/ (PI) (pow F 2))))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* 1/24 (/ (pow (PI) 5) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (/ (* (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))) (- (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))))) (- (PI) (/ (PI) (pow F 2))))))))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))))) (/ 1 (- (PI) (/ (PI) (pow F 2))))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 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) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* -1/720 (/ (pow (PI) 7) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (/ (* (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))) (- (* 1/120 (/ (pow (PI) 5) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* 1/24 (/ (pow (PI) 5) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (/ (* (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))) (- (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))))) (- (PI) (/ (PI) (pow F 2)))))))) (- (PI) (/ (PI) (pow F 2)))) (/ (* (- (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 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))))) (- (PI) (/ (PI) (pow F 2))))))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* 1/24 (/ (pow (PI) 5) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (/ (* (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))) (- (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))))) (- (PI) (/ (PI) (pow F 2))))))))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))))) (/ 1 (- (PI) (/ (PI) (pow F 2))))) l)
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))))))))))))
(/ (pow F 2) (* l (PI)))
(/ (+ (* -1 (/ (* (pow F 2) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ (pow F 2) (PI))) l)
(/ (+ (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* (pow F 2) (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* (pow F 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 (PI) 2))))) (/ (* (pow F 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ (pow F 2) (PI))) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (pow F 2) (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* (pow F 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 (PI) 2))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))) (+ (* -1 (/ (* (pow F 2) (* (- (* -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))) (/ (* (pow F 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))))))))) (pow (PI) 2)))))) (+ (* -1 (/ (* (pow F 2) (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* (pow F 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 (PI) 2))))) (/ (* (pow F 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ (pow F 2) (PI))) l)
(/ (+ (* -1 (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ F (PI))) l)
(/ (+ (* (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)
(/ (+ (* (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)
(+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))))))
(/ (+ (* (pow l 2) (- (* -1/2 (PI)) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (+ (* 1/24 (pow (PI) 3)) (* (pow l 2) (- (+ (* -1/2 (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (+ (* -1/720 (pow (PI) 5)) (* 1/24 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))) (+ (* -1/5040 (pow (PI) 5)) (+ (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (PI)) (/ (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))))) (PI)))))))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)
(* -1/3 (* l (PI)))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(/ (+ (/ 1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) l)
(/ (- (+ (/ 1 (PI)) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 2) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI))))))))) l)
(/ (- (+ (/ 1 (PI)) (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* (pow l 3) (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) (* -1 (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 2) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))))) l)
(* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))
(* (pow l 2) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2)))))
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))
(* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2)))))
(/ (cos (* l (PI))) (sin (* l (PI))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (- (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) (/ 1 (PI))) l))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* l (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* l (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) l)) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l))
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2))))))
Calls

6 calls:

TimeVariablePointExpression
31.0ms
l
@inf
((* (* -1/3 (sqrt (PI))) (sqrt (PI))) (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (* (PI) l) (PI) (/ 1 (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2))))) (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (+ (* (PI) l) (/ -1 (* (/ F (tan (* (PI) l))) F))) (* (/ F (tan (* (PI) l))) F) (/ F (tan (* (PI) l))) (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/ (PI) F) (cbrt (pow (PI) 3)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) l) (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) (/ 1 (tan (* l (PI)))) (sqrt (PI)) (* (* (* -1/3 (sqrt (PI))) (sqrt (PI))) l) (/ 1 (* (PI) l)) (/ F (* (PI) l)) (/ (* (PI) (PI)) F))
12.0ms
F
@inf
((* (* -1/3 (sqrt (PI))) (sqrt (PI))) (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (* (PI) l) (PI) (/ 1 (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2))))) (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (+ (* (PI) l) (/ -1 (* (/ F (tan (* (PI) l))) F))) (* (/ F (tan (* (PI) l))) F) (/ F (tan (* (PI) l))) (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/ (PI) F) (cbrt (pow (PI) 3)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) l) (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) (/ 1 (tan (* l (PI)))) (sqrt (PI)) (* (* (* -1/3 (sqrt (PI))) (sqrt (PI))) l) (/ 1 (* (PI) l)) (/ F (* (PI) l)) (/ (* (PI) (PI)) F))
5.0ms
F
@-inf
((* (* -1/3 (sqrt (PI))) (sqrt (PI))) (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (* (PI) l) (PI) (/ 1 (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2))))) (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (+ (* (PI) l) (/ -1 (* (/ F (tan (* (PI) l))) F))) (* (/ F (tan (* (PI) l))) F) (/ F (tan (* (PI) l))) (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/ (PI) F) (cbrt (pow (PI) 3)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) l) (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) (/ 1 (tan (* l (PI)))) (sqrt (PI)) (* (* (* -1/3 (sqrt (PI))) (sqrt (PI))) l) (/ 1 (* (PI) l)) (/ F (* (PI) l)) (/ (* (PI) (PI)) F))
5.0ms
F
@0
((* (* -1/3 (sqrt (PI))) (sqrt (PI))) (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (* (PI) l) (PI) (/ 1 (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2))))) (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (+ (* (PI) l) (/ -1 (* (/ F (tan (* (PI) l))) F))) (* (/ F (tan (* (PI) l))) F) (/ F (tan (* (PI) l))) (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/ (PI) F) (cbrt (pow (PI) 3)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) l) (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) (/ 1 (tan (* l (PI)))) (sqrt (PI)) (* (* (* -1/3 (sqrt (PI))) (sqrt (PI))) l) (/ 1 (* (PI) l)) (/ F (* (PI) l)) (/ (* (PI) (PI)) F))
5.0ms
l
@0
((* (* -1/3 (sqrt (PI))) (sqrt (PI))) (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (* (PI) l) (PI) (/ 1 (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2))))) (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (+ (* (PI) l) (/ -1 (* (/ F (tan (* (PI) l))) F))) (* (/ F (tan (* (PI) l))) F) (/ F (tan (* (PI) l))) (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/ (PI) F) (cbrt (pow (PI) 3)) (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (* (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) l) (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) (/ 1 (tan (* l (PI)))) (sqrt (PI)) (* (* (* -1/3 (sqrt (PI))) (sqrt (PI))) l) (/ 1 (* (PI) l)) (/ F (* (PI) l)) (/ (* (PI) (PI)) F))

simplify202.0ms (2.7%)

Memory
29.2MiB live, 215.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04953337
115083119
265022748
089912650
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* -1 (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* -1 (/ (* (pow F 2) (* l (* (PI) (pow (cos (* l (PI))) 2)))) (pow (sin (* l (PI))) 2)))))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3)))) (pow (sin (* l (PI))) 3))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2))))))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 4)))) (pow (sin (* l (PI))) 4))) (/ (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3))) (pow (sin (* l (PI))) 3)))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2))))))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI))))
(/ (* F (cos (* l (PI)))) (sin (* l (PI))))
(/ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (pow F 2))
(/ (+ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (* (pow F 2) (PI))) (pow F 2))
(/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2))
(/ (+ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (PI) F)
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* -1 (/ (PI) (pow F 2)))
(/ (- (* (pow F 2) (PI)) (PI)) (pow F 2))
(/ F (* l (PI)))
(/ (pow (PI) 2) F)
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(/ 1 (* l (PI)))
(+ (/ 1 (* l (PI))) (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI))))))))
(- (+ (/ 1 (* l (PI))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI)))))))))
(- (+ (/ 1 (* l (PI))) (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* (pow l 4) (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (cos (* l (PI)))))))) (* -1 (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 3) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))))))
(PI)
(+ (PI) (/ (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1)) (pow F 2)))
(+ (* l (PI)) (/ (* l (* (PI) (- (* -1/3 (* (pow l 2) (pow (PI) 2))) 1))) (pow F 2)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (PI) (* -1 (/ (PI) (pow F 2))))
(+ (PI) (* -1 (/ (* (PI) (+ 1 (* 1/3 (* (pow l 2) (pow (PI) 2))))) (pow F 2))))
(+ (* -1 (/ (* l (* (PI) (+ 1 (* 1/3 (* (pow l 2) (pow (PI) 2)))))) (pow F 2))) (* 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))))
(/ 1 (* l (- (PI) (/ (PI) (pow F 2)))))
(/ (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))))) (/ 1 (- (PI) (/ (PI) (pow F 2))))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* 1/24 (/ (pow (PI) 5) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (/ (* (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))) (- (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))))) (- (PI) (/ (PI) (pow F 2))))))))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))))) (/ 1 (- (PI) (/ (PI) (pow F 2))))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 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) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* -1/720 (/ (pow (PI) 7) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (/ (* (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))) (- (* 1/120 (/ (pow (PI) 5) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* 1/24 (/ (pow (PI) 5) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (/ (* (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))) (- (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))))) (- (PI) (/ (PI) (pow F 2)))))))) (- (PI) (/ (PI) (pow F 2)))) (/ (* (- (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 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))))) (- (PI) (/ (PI) (pow F 2))))))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (+ (* 1/24 (/ (pow (PI) 5) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (/ (* (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))) (- (* -1/6 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))))) (- (PI) (/ (PI) (pow F 2))))))))) (* -1/2 (/ (pow (PI) 3) (* (pow F 2) (pow (- (PI) (/ (PI) (pow F 2))) 2)))))) (/ 1 (- (PI) (/ (PI) (pow F 2))))) l)
(* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))
(* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))))))))))))
(/ (pow F 2) (* l (PI)))
(/ (+ (* -1 (/ (* (pow F 2) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ (pow F 2) (PI))) l)
(/ (+ (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* (pow F 2) (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* (pow F 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 (PI) 2))))) (/ (* (pow F 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ (pow F 2) (PI))) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (pow F 2) (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* (pow F 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 (PI) 2))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))) (+ (* -1 (/ (* (pow F 2) (* (- (* -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))) (/ (* (pow F 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))))))))) (pow (PI) 2)))))) (+ (* -1 (/ (* (pow F 2) (pow (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) 2)) (pow (PI) 3))) (/ (* (pow F 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 (PI) 2))))) (/ (* (pow F 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow (PI) 2)))) (/ (pow F 2) (PI))) l)
(/ (+ (* -1 (/ (* F (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (pow (PI) 2))) (/ F (PI))) l)
(/ (+ (* (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)
(/ (+ (* (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)
(+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))))))
(/ (+ (* (pow l 2) (- (* -1/2 (PI)) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (+ (* 1/24 (pow (PI) 3)) (* (pow l 2) (- (+ (* -1/2 (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (+ (* -1/720 (pow (PI) 5)) (* 1/24 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))) (+ (* -1/5040 (pow (PI) 5)) (+ (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (PI)) (/ (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))))) (PI)))))))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)
(* -1/3 (* l (PI)))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(/ (+ (/ 1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) l)
(/ (- (+ (/ 1 (PI)) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 2) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI))))))))) l)
(/ (- (+ (/ 1 (PI)) (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* (pow l 3) (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) (* -1 (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 2) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))))) l)
(* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))
(* (pow l 2) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2)))))
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))
(* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2)))))
(/ (cos (* l (PI))) (sin (* l (PI))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (- (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) (/ 1 (PI))) l))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* l (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* l (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) l)) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l))
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2))))))
Outputs
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (cos.f64 (*.f64 (PI.f64) l)))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(fma.f64 (PI.f64) l (/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (cos.f64 (*.f64 (PI.f64) l))))
(* -1 (/ (* (pow F 2) (cos (* l (PI)))) (sin (* l (PI)))))
(*.f64 (*.f64 (neg.f64 F) F) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))))
(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* -1 (/ (* (pow F 2) (* l (* (PI) (pow (cos (* l (PI))) 2)))) (pow (sin (* l (PI))) 2)))))
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(* (pow F 2) (+ (* -1 (/ (cos (* l (PI))) (sin (* l (PI))))) (* (pow F 2) (- (* -1 (/ (* (pow F 2) (* (pow l 2) (* (pow (PI) 2) (pow (cos (* l (PI))) 3)))) (pow (sin (* l (PI))) 3))) (/ (* l (* (PI) (pow (cos (* l (PI))) 2))) (pow (sin (* l (PI))) 2))))))
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(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 F (*.f64 (PI.f64) (PI.f64))) (*.f64 (neg.f64 (fma.f64 (fma.f64 F (fma.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64))))) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (/.f64 (*.f64 (/.f64 F (*.f64 (PI.f64) (PI.f64))) (-.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (PI.f64)))) (PI.f64)))) (*.f64 l l) (*.f64 (/.f64 F (*.f64 (PI.f64) (PI.f64))) (-.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (PI.f64)))))) (*.f64 l l))) (*.f64 l l) (/.f64 F (PI.f64))) l)
(+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) l) l) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) F) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2))))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) l) l) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) F) (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) l)
(/ (+ (* (pow l 2) (- (* -1/2 (PI)) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) l) (PI.f64)) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (PI.f64)) (*.f64 #s(literal -1/120 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 l l) (*.f64 #s(literal -1/3 binary64) (PI.f64))) (*.f64 l l) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(/ (+ (* (pow l 2) (- (+ (* -1/2 (PI)) (* (pow l 2) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (+ (* 1/24 (pow (PI) 3)) (* (pow l 2) (- (+ (* -1/2 (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (+ (* -1/720 (pow (PI) 5)) (* 1/24 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))) (+ (* -1/5040 (pow (PI) 5)) (+ (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (PI)) (/ (* (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))) (- (+ (* -1/2 (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (* 1/24 (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI))))) (PI)))))))) (+ (* 1/120 (pow (PI) 3)) (/ (* (- (* -1/2 (PI)) (* -1/6 (PI))) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (PI)))))) (* -1/6 (PI)))) (/ 1 (PI))) l)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/8 binary64) (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (PI.f64)) (*.f64 #s(literal -1/120 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (PI.f64)) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) (PI.f64)))))) (*.f64 l l) (fma.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (PI.f64)) (*.f64 #s(literal -1/120 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))) (*.f64 l l) (*.f64 #s(literal -1/3 binary64) (PI.f64))) (*.f64 l l) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(* -1/3 (* l (PI)))
(*.f64 (*.f64 #s(literal -1/3 binary64) l) (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(/ (+ (/ 1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) l)
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (*.f64 (PI.f64) (PI.f64)) l)) (cos.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(/ (- (+ (/ 1 (PI)) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 2) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI))))))))) l)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (PI.f64) (PI.f64))) (cos.f64 (*.f64 (PI.f64) l))) (/.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 F #s(literal 4 binary64)) l) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64))))) l) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(/ (- (+ (/ 1 (PI)) (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* (pow l 3) (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) (* -1 (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow l 2) (* (pow (PI) 3) (pow (cos (* l (PI))) 2)))))))) l)
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 3 binary64)) (*.f64 (pow.f64 F #s(literal 6 binary64)) (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (PI.f64) (PI.f64))) (cos.f64 (*.f64 (PI.f64) l))) (/.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 F #s(literal 4 binary64)) l) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64))))) l)) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(* -1/3 (/ (* (pow l 2) (pow (PI) 3)) (pow F 2)))
(*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) l) l) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) F))
(* (pow l 2) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l) l)) (*.f64 l l))
(* -1/3 (/ (* (pow l 3) (pow (PI) 3)) (pow F 2)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) F))
(* (pow l 3) (+ (* -1 (/ (PI) (* (pow F 2) (pow l 2)))) (+ (* -1/3 (/ (pow (PI) 3) (pow F 2))) (/ (PI) (pow l 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 (/.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)) l) l)) (pow.f64 l #s(literal 3 binary64)))
(/ (cos (* l (PI))) (sin (* l (PI))))
(/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l)))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) l)) (cos.f64 (*.f64 (PI.f64) l)))) l)
(* -1 (/ (- (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (* (pow (PI) 2) (cos (* l (PI)))))))) (/ 1 (PI))) l))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (*.f64 (PI.f64) (PI.f64)) l)) (cos.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* l (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (PI.f64) (PI.f64))) (cos.f64 (*.f64 (PI.f64) l))) (/.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 F #s(literal 4 binary64)) l) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64))))) l) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin (* l (PI))) 3) (* (pow F 6) (* l (* (pow (PI) 4) (pow (cos (* l (PI))) 3)))))) (/ (pow (sin (* l (PI))) 2) (* (pow F 4) (* (pow (PI) 3) (pow (cos (* l (PI))) 2))))) l)) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* (pow (PI) 2) (cos (* l (PI)))))))) l)) (/ 1 (PI))) l))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 F #s(literal 6 binary64)) l) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 3 binary64)))) (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)) (*.f64 (pow.f64 F #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (cos.f64 (*.f64 (PI.f64) l)) #s(literal 2 binary64)))) l) (/.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (PI.f64) (PI.f64))) (cos.f64 (*.f64 (PI.f64) l)))) l) (/.f64 #s(literal 1 binary64) (PI.f64))) l)
(* -1 (* (pow l 3) (+ (* -1 (/ (+ (PI) (* -1 (/ (PI) (pow F 2)))) (pow l 2))) (* 1/3 (/ (pow (PI) 3) (pow F 2))))))
(*.f64 (neg.f64 (pow.f64 l #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/3 binary64) F) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) F) (/.f64 (/.f64 (neg.f64 (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F))) l) l)))

rewrite204.0ms (2.7%)

Memory
-14.0MiB live, 238.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061313
0100285
1396275
23124275
08791275
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 613
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
(*.f64 (PI.f64) l)
(PI.f64)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))))
#s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l)))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l))) F)))
(*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l))) F)
#s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l)))
(fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
(*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l)
(/.f64 (PI.f64) F)
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F))) l))
(*.f64 (-.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F))) l)
(-.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F)))
#s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l))
(sqrt.f64 (PI.f64))
(*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l)
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))
(/.f64 F (*.f64 (PI.f64) l))
(/.f64 (*.f64 (PI.f64) (PI.f64)) F)
Outputs
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(exp.f64 (fma.f64 (log.f64 F) #s(literal -1 binary64) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (fma.f64 (log.f64 F) #s(literal -1 binary64) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (log.f64 F) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 2 binary64) (*.f64 (log.f64 F) #s(literal -1 binary64))))
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eval565.0ms (7.5%)

Memory
16.6MiB live, 433.2MiB allocated
Compiler

Compiled 52 624 to 6 798 computations (87.1% saved)

prune219.0ms (2.9%)

Memory
6.1MiB live, 126.5MiB allocated
Pruning

30 alts after pruning (23 fresh and 7 done)

PrunedKeptTotal
New1 384101 394
Fresh61319
Picked235
Done145
Total1 393301 423
Accuracy
99.7%
Counts
1 423 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.3%
(fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
86.4%
(fma.f64 (PI.f64) l (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
77.4%
(fma.f64 (PI.f64) l (/.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 l (PI.f64))))))
86.4%
(fma.f64 (PI.f64) l (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) F))
✓81.8%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
86.4%
(fma.f64 (PI.f64) l (/.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))))))
77.4%
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 F (PI.f64))))) F)))
75.0%
(pow.f64 (pow.f64 #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (pow.f64 (*.f64 l (PI.f64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
75.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) l)))
75.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 (pow.f64 l #s(literal -1 binary64)) (PI.f64))))
✓75.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))))
✓91.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
✓91.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
77.4%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (* (/ 1 (tan (* l (PI)))) (neg F)) (/.f64 (/.f64 (neg.f64 F) l) (PI.f64)))))
80.9%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
72.8%
(-.f64 (*.f64 (PI.f64) l) #s(approx (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
21.4%
#s(approx (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (cos.f64 (*.f64 (PI.f64) l))))
60.4%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64)) #s(literal 2 binary64))) l) (fma.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64) (PI.f64))))
72.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal -1 binary64) F) (PI.f64)) l))
46.7%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 F F)) (PI.f64)) (*.f64 #s(literal 1 binary64) (*.f64 F F))) l))
72.4%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) F) (/.f64 (PI.f64) F)) (*.f64 #s(literal 1 binary64) F)) l))
✓72.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F))) l))
✓72.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
74.9%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
✓75.5%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
19.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
72.8%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))) l))
24.4%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
49.5%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 (fma.f64 F F #s(literal -1 binary64)) F))))
19.5%
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) l) l) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))))
Compiler

Compiled 2 067 to 851 computations (58.8% saved)

regimes91.0ms (1.2%)

Memory
-42.6MiB live, 131.2MiB allocated
Counts
55 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
(-.f64 (*.f64 (PI.f64) l) #s(approx (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal -1 binary64) F) (PI.f64)) l))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 (fma.f64 F F #s(literal -1 binary64)) F))))
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l))) F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 F F)) (PI.f64)) (*.f64 #s(literal 1 binary64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) F) (/.f64 (PI.f64) F)) (*.f64 #s(literal 1 binary64) F)) l))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) #s(approx (* (/ F (tan (* (PI) l))) F) (*.f64 (/.f64 F l) (/.f64 F (PI.f64))))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 l (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) l) l) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))) (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (* (/ 1 (tan (* l (PI)))) (neg F)) (/.f64 (/.f64 (neg.f64 F) l) (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) F) (/.f64 (sqrt.f64 (PI.f64)) F))) l))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 F (PI.f64))))) F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 (pow.f64 l #s(literal -1 binary64)) (PI.f64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) l)))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) F))
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))) (neg.f64 F)))
(fma.f64 (PI.f64) l (/.f64 #s(literal 1 binary64) (/.f64 F (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 l (PI.f64)))) (neg.f64 F))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (PI.f64)) l) F) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 F) #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (pow.f64 (PI.f64) #s(literal -1 binary64))) l)))))) (neg.f64 F))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (neg.f64 F) F)) (cos.f64 (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F)))) (/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 l (PI.f64)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))))))
(pow.f64 (pow.f64 #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (pow.f64 (*.f64 l (PI.f64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64))) (tan.f64 (*.f64 (PI.f64) l))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (*.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64)) #s(literal 2 binary64))) l) (fma.f64 (pow.f64 F #s(literal -2 binary64)) (PI.f64) (PI.f64))))
(fma.f64 (exp.f64 (*.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) l) (/.f64 l (fma.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (*.f64 l (PI.f64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64))) #s(literal 2 binary64)) (fma.f64 (tan.f64 (*.f64 l (PI.f64))) (pow.f64 F #s(literal -2 binary64)) (*.f64 l (PI.f64))))))
Outputs
(fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

6 calls:

20.0ms
(*.f64 (PI.f64) l)
15.0ms
l
14.0ms
(*.f64 F F)
13.0ms
F
13.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Results
AccuracySegmentsBranch
91.7%1F
99.4%2l
96.8%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
99.4%2(*.f64 (PI.f64) l)
91.7%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
91.7%1(*.f64 F F)
Compiler

Compiled 27 to 26 computations (3.7% saved)

regimes22.0ms (0.3%)

Memory
8.7MiB live, 45.9MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
(-.f64 (*.f64 (PI.f64) l) #s(approx (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal -1 binary64) F) (PI.f64)) l))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 (fma.f64 F F #s(literal -1 binary64)) F))))
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l))) F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 F F)) (PI.f64)) (*.f64 #s(literal 1 binary64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) F) (/.f64 (PI.f64) F)) (*.f64 #s(literal 1 binary64) F)) l))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) #s(approx (* (/ F (tan (* (PI) l))) F) (*.f64 (/.f64 F l) (/.f64 F (PI.f64))))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 l (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) l) l) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))) (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (* (/ 1 (tan (* l (PI)))) (neg F)) (/.f64 (/.f64 (neg.f64 F) l) (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) F) (/.f64 (sqrt.f64 (PI.f64)) F))) l))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 F (PI.f64))))) F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 (pow.f64 l #s(literal -1 binary64)) (PI.f64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) l)))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
(fma.f64 (PI.f64) l (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) F))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
(fma.f64 (PI.f64) l (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) (tan.f64 (*.f64 l (PI.f64)))) F))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

2 calls:

11.0ms
l
9.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
99.4%2l
99.4%2(*.f64 (PI.f64) l)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes22.0ms (0.3%)

Memory
9.6MiB live, 53.2MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
(-.f64 (*.f64 (PI.f64) l) #s(approx (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal -1 binary64) F) (PI.f64)) l))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 (fma.f64 F F #s(literal -1 binary64)) F))))
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l))) F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 F F)) (PI.f64)) (*.f64 #s(literal 1 binary64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) F) (/.f64 (PI.f64) F)) (*.f64 #s(literal 1 binary64) F)) l))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) #s(approx (* (/ F (tan (* (PI) l))) F) (*.f64 (/.f64 F l) (/.f64 F (PI.f64))))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 l (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) l) l) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))) (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (* (/ 1 (tan (* l (PI)))) (neg F)) (/.f64 (/.f64 (neg.f64 F) l) (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) F) (/.f64 (sqrt.f64 (PI.f64)) F))) l))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 F (PI.f64))))) F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 (pow.f64 l #s(literal -1 binary64)) (PI.f64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) l)))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (neg.f64 F) F)))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

2 calls:

12.0ms
l
8.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
98.6%2l
98.6%2(*.f64 (PI.f64) l)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes16.0ms (0.2%)

Memory
-9.5MiB live, 29.5MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
(-.f64 (*.f64 (PI.f64) l) #s(approx (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal -1 binary64) F) (PI.f64)) l))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 (fma.f64 F F #s(literal -1 binary64)) F))))
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 (PI.f64) l))) F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 F F)) (PI.f64)) (*.f64 #s(literal 1 binary64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) F) (/.f64 (PI.f64) F)) (*.f64 #s(literal 1 binary64) F)) l))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) #s(approx (* (/ F (tan (* (PI) l))) F) (*.f64 (/.f64 F l) (/.f64 F (PI.f64))))))
(fma.f64 (PI.f64) l (/.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (/ F (tan (* (PI) l))) (/.f64 F (*.f64 l (PI.f64))))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (+ (* (/ (PI) F) (+ (* (/ (* (PI) (PI)) F) (* -1/3 (* l l))) (/ -1 F))) (PI)) l) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) l) l) (PI.f64)) (PI.f64) #s(literal -1 binary64)) (*.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))) (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) #s(approx (* (/ 1 (tan (* l (PI)))) (neg F)) (/.f64 (/.f64 (neg.f64 F) l) (PI.f64)))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) F) (/.f64 (sqrt.f64 (PI.f64)) F))) l))
(fma.f64 (PI.f64) l (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ F (tan (* (PI) l))) (/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 F (PI.f64))))) F)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) F) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (/.f64 #s(literal -1 binary64) F)) (PI.f64)) l))
Outputs
(fma.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

2 calls:

8.0ms
l
7.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
98.5%2l
98.5%2(*.f64 (PI.f64) l)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes9.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
(-.f64 (*.f64 (PI.f64) l) #s(approx (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal -1 binary64) F) (PI.f64)) l))
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (*.f64 (PI.f64) l) F) (/.f64 (fma.f64 F F #s(literal -1 binary64)) F))))
Outputs
(fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

2 calls:

4.0ms
(*.f64 (PI.f64) l)
4.0ms
l
Results
AccuracySegmentsBranch
98.5%2l
98.5%2(*.f64 (PI.f64) l)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes21.0ms (0.3%)

Memory
-19.5MiB live, 19.5MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
(-.f64 (*.f64 (PI.f64) l) #s(approx (/ (/ -1 F) (* (/ 1 (tan (* l (PI)))) (neg F))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (fma.f64 (/.f64 (PI.f64) F) (/.f64 #s(literal -1 binary64) F) (PI.f64)) l))
Outputs
(-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

3 calls:

13.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
3.0ms
(*.f64 (PI.f64) l)
3.0ms
l
Results
AccuracySegmentsBranch
92.6%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
93.9%2l
93.9%2(*.f64 (PI.f64) l)
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes6.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (* l (PI)) (* (tan (* l (PI))) (pow F -2)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (PI) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) #s(approx (* (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) l) (*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (*.f64 (PI.f64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F))))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (PI) (* F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 #s(approx (- (PI) (/ (cbrt (pow (PI) 3)) (* F F))) (/.f64 (/.f64 (neg.f64 (PI.f64)) F) F)) l))
Outputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

2 calls:

3.0ms
(*.f64 (PI.f64) l)
3.0ms
l
Results
AccuracySegmentsBranch
93.9%2l
93.9%2(*.f64 (PI.f64) l)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes7.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Outputs
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Calls

6 calls:

1.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
1.0ms
(*.f64 (PI.f64) l)
1.0ms
l
1.0ms
F
1.0ms
(/.f64 #s(literal 1 binary64) (*.f64 F F))
Results
AccuracySegmentsBranch
75.5%1(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
75.5%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
75.5%1(*.f64 F F)
75.5%1F
75.5%1l
75.5%1(*.f64 (PI.f64) l)
Compiler

Compiled 27 to 26 computations (3.7% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
335612976.124372
139852794651.8015
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
335612976.124372
139852794651.8015
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2524.463508711573
2592879.904459888
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
335612976.124372
139852794651.8015
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
335612976.124372
139852794651.8015
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
335612976.124372
139852794651.8015
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
335612976.124372
139852794651.8015
Compiler

Compiled 15 to 15 computations (0% saved)

simplify117.0ms (1.6%)

Memory
-21.2MiB live, 56.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068327
1109307
2187306
3360306
4601306
5920306
64243306
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000 binary64)) (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000 binary64)) (fma.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000 binary64)) (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000 binary64)) (-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))
Outputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000 binary64)) (fma.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (/.f64 #s(literal 1 binary64) (PI.f64))) l)) (neg.f64 F)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 #s(approx (/ 1 (tan (* l (PI)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (PI.f64)) l) l (pow.f64 (PI.f64) #s(literal -1 binary64))) l)) F))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000 binary64)) (fma.f64 #s(approx (/ (tan (* l (PI))) F) (*.f64 (/.f64 (PI.f64) F) l)) (/.f64 #s(literal -1 binary64) F) (*.f64 l (PI.f64))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000 binary64)) (fma.f64 (PI.f64) l #s(approx (/ (tan (* l (PI))) (* (neg F) F)) (*.f64 (/.f64 (neg.f64 (PI.f64)) F) (/.f64 l F)))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000 binary64)) (-.f64 (*.f64 (PI.f64) l) #s(approx (* (/ 1 (* F F)) (tan (* (PI) l))) (*.f64 (/.f64 (PI.f64) (*.f64 F F)) l))) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 500000000 binary64)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) l)) #s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l)))
#s(approx (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l)))) (*.f64 (PI.f64) l))

soundness890.0ms (11.9%)

Memory
34.5MiB live, 674.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
01737
17031
247031
3667731
0820131
03102081
19471921
235321645
081161553
0149787
1432713
21504601
37061562
08390537
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 522 to 214 computations (59% saved)

preprocess333.0ms (4.4%)

Memory
-28.0MiB live, 129.2MiB allocated
Remove

(abs F)

Compiler

Compiled 902 to 290 computations (67.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...