Toniolo and Linder, Equation (10-)

Time bar (total: 9.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze977.0ms (10.4%)

Memory
-9.4MiB live, 1 163.6MiB allocated; 338ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
0%0%99.9%0.1%0%0%0%7
0%0%99.9%0.1%0%0%0%8
0%0%99.9%0.1%0%0%0%9
2%2%97.9%0.1%0%0%0%10
2.9%2.9%96.9%0.1%0%0%0%11
3.8%3.8%96.1%0.1%0%0%0%12
Compiler

Compiled 27 to 21 computations (22.2% saved)

sample3.6s (38%)

Memory
-0.2MiB live, 3 410.6MiB allocated; 1.4s collecting garbage
Samples
1.0s1 505×2valid
899.0ms4 204×0valid
727.0ms1 416×3valid
370.0ms1 126×1valid
34.0ms4valid
Precisions
Click to see histograms. Total time spent on operations: 2.7s
adjust: 961.0ms (35.9% of total)
ival-div: 341.0ms (12.7% of total)
ival-mult: 337.0ms (12.6% of total)
ival-tan: 250.0ms (9.3% of total)
ival-sin: 238.0ms (8.9% of total)
ival-pow: 195.0ms (7.3% of total)
ival-pow2: 166.0ms (6.2% of total)
ival-add: 86.0ms (3.2% of total)
ival-sub: 83.0ms (3.1% of total)
exact: 14.0ms (0.5% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain338.0ms (3.6%)

Memory
-2.9MiB live, 522.9MiB allocated; 41ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
930-1(2.505744698731483e+92 -3.1872591821184133e+67 8.05621601649381e-69)(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
680-0-(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
560-0-(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
120-0-(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
70-0-(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
31(-6.020358342750186e+304 -1.9065581392234869e-81 1.2115456074586881e-36)0-(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
00-0-k
00-0-(/.f64 k t)
00-0-t
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(tan.f64 k)
00-0-(pow.f64 (/.f64 k t) #s(literal 2 binary64))
00-0-(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
00-0-(*.f64 l l)
00-0-(sin.f64 k)
00-0-(pow.f64 t #s(literal 3 binary64))
00-0-#s(literal 2 binary64)
00-0-l
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))cancellation680
*.f64(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))u*o430
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))underflow82
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))underflow94
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))underflow86
(pow.f64 t #s(literal 3 binary64))underflow72
(*.f64 l l)underflow56
(/.f64 k t)overflow30
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow61
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow61
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow61
*.f64(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))o*u350
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow98
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))overflow79
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow86
(pow.f64 t #s(literal 3 binary64))overflow99
(*.f64 l l)overflow66
(/.f64 k t)underflow38
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))underflow78
(pow.f64 (/.f64 k t) #s(literal 2 binary64))underflow78
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/o250
(pow.f64 t #s(literal 3 binary64))overflow99
(*.f64 l l)overflow66
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/u170
(pow.f64 t #s(literal 3 binary64))underflow72
(*.f64 l l)underflow56
*.f64(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))n*o120
*.f64(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))n*o90
*.f64(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))n*o70
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/n70
(pow.f64 t #s(literal 3 binary64))overflow99
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/o50
(*.f64 l l)overflow66
*.f64(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))n*u50
/.f64(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))n/o40
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))overflow79
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow86
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))overflow69
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow61
(/.f64 k t)overflow30
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow98
(pow.f64 t #s(literal 3 binary64))overflow99
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow61
(*.f64 l l)overflow66
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow61
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/n20
(pow.f64 t #s(literal 3 binary64))underflow72
Confusion
Predicted +Predicted -
+1790
-2354
Precision
0.8861386138613861
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+17900
-23054
Precision?
0.8861386138613861
Recall?
1.0
Freqs
test
numberfreq
054
1165
237
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
47.0ms96×3valid
44.0ms112×2valid
42.0ms220×0valid
25.0ms84×1valid
Compiler

Compiled 265 to 61 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
adjust: 33.0ms (28% of total)
ival-div: 17.0ms (14.4% of total)
ival-mult: 16.0ms (13.6% of total)
ival-sin: 11.0ms (9.3% of total)
ival-pow2: 10.0ms (8.5% of total)
ival-tan: 10.0ms (8.5% of total)
ival-pow: 9.0ms (7.6% of total)
ival-add: 6.0ms (5.1% of total)
ival-sub: 5.0ms (4.2% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess161.0ms (1.7%)

Memory
22.0MiB live, 203.2MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
086256
1250230
21176210
37995210
01925
03225
16223
220721
3144121
0876321
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (tan.f64 k) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))))
Symmetry

(abs l)

(abs k)

(negabs t)

Compiler

Compiled 25 to 19 computations (24% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.4%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Compiler

Compiled 25 to 19 computations (24% saved)

series93.0ms (1%)

Memory
33.1MiB live, 167.2MiB allocated; 31ms collecting garbage
Counts
19 → 44
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(pow.f64 t #s(literal 3 binary64))
t
#s(literal 3 binary64)
(*.f64 l l)
l
(sin.f64 k)
k
(tan.f64 k)
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* (pow t 3) (sin k)) (pow l 2))))
#s(approx (/ (pow t 3) (* l l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (pow t 3) #s(hole binary64 (pow t 3)))
#s(approx t #s(hole binary64 t))
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (+ (pow k 2) (pow t 2)) (pow t 2))))
#s(approx (pow (/ k t) 2) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (/ k t) #s(hole binary64 (/ k t)))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (+ 1 (/ (pow k 2) (pow t 2)))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx l #s(hole binary64 l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/6 (/ (pow t 3) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 31/360 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* 1/120 (/ (* (pow k 2) (pow t 3)) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* -1/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/120 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx k #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* 1/3 (pow k 2))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (tan k) #s(hole binary64 (/ (sin k) (cos k))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
Calls

9 calls:

TimeVariablePointExpression
30.0ms
t
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
14.0ms
k
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
13.0ms
t
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
8.0ms
t
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
7.0ms
k
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))

rewrite222.0ms (2.4%)

Memory
-4.4MiB live, 222.3MiB allocated; 112ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02391361
02611320
113671264
081101229
Stop Event
iter limit
node limit
iter limit
Counts
63 → 192
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(pow.f64 t #s(literal 3 binary64))
t
#s(literal 3 binary64)
(*.f64 l l)
l
(sin.f64 k)
k
(tan.f64 k)
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* (pow t 3) (sin k)) (pow l 2))))
#s(approx (/ (pow t 3) (* l l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (pow t 3) #s(hole binary64 (pow t 3)))
#s(approx t #s(hole binary64 t))
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (+ (pow k 2) (pow t 2)) (pow t 2))))
#s(approx (pow (/ k t) 2) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (/ k t) #s(hole binary64 (/ k t)))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (+ 1 (/ (pow k 2) (pow t 2)))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx l #s(hole binary64 l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/6 (/ (pow t 3) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 31/360 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* 1/120 (/ (* (pow k 2) (pow t 3)) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* -1/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/120 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx k #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* 1/3 (pow k 2))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (tan k) #s(hole binary64 (/ (sin k) (cos k))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
Outputs
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)))) (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)))))))
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))))))
#s(literal 2 binary64)
(*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))))
(*.f64 (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)) (*.f64 (tan.f64 k) (-.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l) (*.f64 (sin.f64 k) (tan.f64 k)))
(*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)))
(*.f64 (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)) (tan.f64 k))
(/.f64 (*.f64 (neg.f64 (sin.f64 k)) (neg.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (neg.f64 (cos.f64 k)) (neg.f64 (*.f64 l l))))
(/.f64 (*.f64 (neg.f64 (sin.f64 k)) (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (neg.f64 (cos.f64 k)) (*.f64 l l)))
(/.f64 (*.f64 (sin.f64 k) (neg.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (cos.f64 k) (neg.f64 (*.f64 l l))))
(/.f64 (*.f64 (sin.f64 k) (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (cos.f64 k) (*.f64 l l)))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (sin.f64 k))) (*.f64 (neg.f64 (*.f64 l l)) (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64)))) (sin.f64 k)) (*.f64 (neg.f64 (*.f64 l l)) (cos.f64 k)))
(/.f64 (*.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))) (neg.f64 (sin.f64 k))) (*.f64 (*.f64 l l) (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))) (sin.f64 k)) (*.f64 (cos.f64 k) (*.f64 l l)))
(*.f64 (/.f64 (sin.f64 k) (neg.f64 l)) (/.f64 (pow.f64 t #s(literal 3 binary64)) (neg.f64 l)))
(*.f64 (/.f64 (sin.f64 k) (fabs.f64 l)) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fabs.f64 l)))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (neg.f64 l)) (/.f64 (sin.f64 k) (neg.f64 l)))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fabs.f64 l)) (/.f64 (sin.f64 k) (fabs.f64 l)))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (/.f64 (sin.f64 k) l))
(*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l) (sin.f64 k))
(*.f64 (sin.f64 k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l))
(*.f64 (pow.f64 t #s(literal 3 binary64)) (/.f64 (sin.f64 k) (*.f64 l l)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (*.f64 l l))))
(/.f64 (neg.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (*.f64 l l)))
(/.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))) (*.f64 l l))
(*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (neg.f64 l)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (neg.f64 l)))
(*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (fabs.f64 l)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (fabs.f64 l)))
(*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l))
(*.f64 (/.f64 (*.f64 t t) (neg.f64 l)) (/.f64 t (neg.f64 l)))
(*.f64 (/.f64 t (neg.f64 l)) (/.f64 (*.f64 t t) (neg.f64 l)))
(*.f64 (/.f64 (*.f64 t t) (fabs.f64 l)) (/.f64 t (fabs.f64 l)))
(*.f64 (/.f64 t (fabs.f64 l)) (/.f64 (*.f64 t t) (fabs.f64 l)))
(*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l))
(*.f64 (/.f64 t l) (/.f64 (*.f64 t t) l))
(/.f64 (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l)) (neg.f64 l))
(/.f64 (neg.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64))) (neg.f64 (neg.f64 (*.f64 l l))))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64)) (neg.f64 (*.f64 l l)))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(exp.f64 (-.f64 (*.f64 (log.f64 t) #s(literal 3 binary64)) (*.f64 (log.f64 l) #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) (neg.f64 (pow.f64 t #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 t #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 t #s(literal 3/2 binary64))))
(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64)))
(*.f64 (*.f64 t t) t)
(*.f64 t (*.f64 t t))
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 3 binary64))
(pow.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 t t) #s(literal 3/2 binary64))
(pow.f64 t #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 t) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 t) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 t) #s(literal 3 binary64))))
t
#s(literal 3 binary64)
(*.f64 (neg.f64 (neg.f64 l)) (neg.f64 (neg.f64 l)))
(*.f64 (neg.f64 (fabs.f64 l)) (neg.f64 (fabs.f64 l)))
(*.f64 (fabs.f64 (fabs.f64 l)) (fabs.f64 (fabs.f64 l)))
(*.f64 (exp.f64 (log.f64 l)) (exp.f64 (log.f64 l)))
(*.f64 (neg.f64 l) (neg.f64 l))
(*.f64 (fabs.f64 l) (fabs.f64 l))
(*.f64 l l)
(pow.f64 (exp.f64 (log.f64 l)) #s(literal 2 binary64))
(pow.f64 (neg.f64 l) #s(literal 2 binary64))
(pow.f64 (fabs.f64 l) #s(literal 2 binary64))
(pow.f64 (*.f64 l l) #s(literal 1 binary64))
(pow.f64 l #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal -2 binary64)))
(fabs.f64 (*.f64 l l))
(exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))))
l
(*.f64 (pow.f64 (sin.f64 k) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 k) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 k) #s(literal 1 binary64))
(sin.f64 k)
(exp.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 1 binary64)))
k
(/.f64 (neg.f64 (neg.f64 (sin.f64 k))) (neg.f64 (neg.f64 (cos.f64 k))))
(/.f64 (+.f64 (tan.f64 k) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 k) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 k)) (neg.f64 (cos.f64 k)))
(/.f64 (sin.f64 k) (cos.f64 k))
(tan.f64 (+.f64 (+.f64 k (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 k (PI.f64)))
(tan.f64 k)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))
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#s(literal 1 binary64)
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(*.f64 (/.f64 k t) (/.f64 k t))
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(/.f64 (neg.f64 (neg.f64 (*.f64 k k))) (neg.f64 (neg.f64 (*.f64 t t))))
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(/.f64 (neg.f64 k) (neg.f64 t))
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#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l))))
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#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)))
#s(approx (/ (pow t 3) (* l l)) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l))
#s(approx (pow t 3) (pow.f64 t #s(literal 3 binary64)))
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#s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
#s(approx (+ 1 (pow (/ k t) 2)) (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (pow (/ k t) 2) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
#s(approx (/ k t) (/.f64 k t))
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#s(approx (+ 1 (pow (/ k t) 2)) (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (* l l) (*.f64 l l))
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#s(approx (sin k) k)
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#s(approx (sin k) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
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#s(approx k k)
#s(approx (tan k) k)
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#s(approx (tan k) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 k k) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (tan k) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 k k) #s(literal 2/15 binary64)) (*.f64 k k) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (sin k) (sin.f64 k))
#s(approx (tan k) (tan.f64 k))
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eval40.0ms (0.4%)

Memory
-18.4MiB live, 38.4MiB allocated; 34ms collecting garbage
Compiler

Compiled 6 485 to 1 101 computations (83% saved)

prune21.0ms (0.2%)

Memory
-14.5MiB live, 32.7MiB allocated; 5ms collecting garbage
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New18417201
Fresh000
Picked101
Done000
Total18517202
Accuracy
86.1%
Counts
202 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.4%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 2 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
30.5%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
23.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
30.4%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
41.1%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
38.3%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
42.5%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 t) #s(literal 3 binary64)) (*.f64 (log.f64 l) #s(literal 2 binary64)))) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
32.6%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
59.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
59.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
59.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
67.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
75.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
29.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
51.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (pow.f64 k #s(literal 4 binary64))))
60.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
75.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
Compiler

Compiled 1 314 to 910 computations (30.7% saved)

series98.0ms (1%)

Memory
49.0MiB live, 140.5MiB allocated; 9ms collecting garbage
Counts
49 → 104
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l))))
(*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k))
(*.f64 (*.f64 k k) t)
(*.f64 k k)
k
t
(cos.f64 k)
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
(*.f64 l l)
l
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t))
(/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64)))
(pow.f64 k #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (*.f64 l l) t)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 k k))
#s(literal -2 binary64)
(*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64))
#s(literal 7/120 binary64)
(*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(pow.f64 t #s(literal 3 binary64))
#s(literal 3 binary64)
(tan.f64 k)
(-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (/ (* (pow k 2) t) (cos k))))
#s(approx (* (* k k) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 2 (pow k 4)) (/ (* l l) t)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* l l) t) #s(hole binary64 (/ (pow l 2) t)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1/3 (pow l 2)) (* -7/60 (* (pow k 2) (pow l 2)))))) (* (pow k 4) t))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1/3 (pow l 2)) (* -7/60 (* (pow k 2) (pow l 2)))))) t)))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (/ (+ (* -1/3 (pow l 2)) (* -7/60 (* (pow k 2) (pow l 2)))) t)))
#s(approx (* (/ (* l l) t) 7/120) #s(hole binary64 (* 7/120 (/ (pow l 2) t))))
#s(approx (* (/ (* l l) t) -1/3) #s(hole binary64 (* -1/3 (/ (pow l 2) t))))
#s(approx (* (/ (* l l) t) 2) #s(hole binary64 (* 2 (/ (pow l 2) t))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* (pow t 3) (sin k)) (pow l 2))))
#s(approx (/ (pow t 3) (* l l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (pow t 3) #s(hole binary64 (pow t 3)))
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (+ (pow k 2) (pow t 2)) (pow t 2))))
#s(approx (pow (/ k t) 2) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (/ k t) #s(hole binary64 (/ k t)))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (+ 1 (/ (pow k 2) (pow t 2)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -1 (/ (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))))) (* (pow k 4) t)))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* -1 (/ (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))))) t))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* -1 (/ (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))) t))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (/ (pow (sin k) 2) (pow l 2))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx l #s(hole binary64 l))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (* (pow l 2) (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t)))) (pow k 4))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* (pow l 2) (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t))))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* (pow l 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* 1/2 (* (pow k 2) t))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/720 t) (+ (* 1/48 t) (* 1/2 (+ (* -1/4 t) (* 1/24 t))))))) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx k #s(hole binary64 k))
#s(approx (cos k) #s(hole binary64 1))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* 2/45 (/ (pow k 2) (pow l 2))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/315 (/ (pow k 2) (pow l 2))) (* 2/45 (/ 1 (pow l 2))))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow k 2)))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx (/ 2 (pow k 4)) #s(hole binary64 (/ 2 (pow k 4))))
#s(approx (pow k 4) #s(hole binary64 (pow k 4)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t))))) (pow k 4))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* 2 (/ (pow l 2) t))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t)))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t)))))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* -1/3 (/ (pow l 2) t))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t)))))
#s(approx (* -2 (* k k)) #s(hole binary64 (* -2 (pow k 2))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/6 (/ (pow t 3) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 31/360 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* 1/120 (/ (* (pow k 2) (pow t 3)) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* -1/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/120 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (tan k) #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* 1/3 (pow k 2))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow (sin k) 2)))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -7/60 (/ (pow l 2) t))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (* -7/60 (/ (pow l 2) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (+ (* -7/60 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 4) t)))))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* -7/60 (/ (* (pow k 4) (pow l 2)) t))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* (pow k 4) (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (* -7/60 (/ (pow l 2) t))))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* (pow k 4) (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (+ (* -7/60 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 4) t))))))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* -7/60 (/ (* (pow k 2) (pow l 2)) t))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (* -7/60 (/ (pow l 2) t))))))
#s(approx (tan k) #s(hole binary64 (/ (sin k) (cos k))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
Calls

9 calls:

TimeVariablePointExpression
16.0ms
t
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) k t (cos k) (/ (pow (sin k) 2) (* l l)) (pow (sin k) 2) (sin k) (* l l) l (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (/ (* l l) t)) (/ 2 (pow k 4)) (pow k 4) 4 (/ (* l l) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* -2 (* k k)) -2 (* (/ (* l l) t) 7/120) 7/120 (* (/ (* l l) t) -1/3) -1/3 (* (/ (* l l) t) 2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) (pow (/ k t) 2) (/ k t))
14.0ms
t
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) k t (cos k) (/ (pow (sin k) 2) (* l l)) (pow (sin k) 2) (sin k) (* l l) l (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (/ (* l l) t)) (/ 2 (pow k 4)) (pow k 4) 4 (/ (* l l) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* -2 (* k k)) -2 (* (/ (* l l) t) 7/120) 7/120 (* (/ (* l l) t) -1/3) -1/3 (* (/ (* l l) t) 2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) (pow (/ k t) 2) (/ k t))
11.0ms
t
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) k t (cos k) (/ (pow (sin k) 2) (* l l)) (pow (sin k) 2) (sin k) (* l l) l (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (/ (* l l) t)) (/ 2 (pow k 4)) (pow k 4) 4 (/ (* l l) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* -2 (* k k)) -2 (* (/ (* l l) t) 7/120) 7/120 (* (/ (* l l) t) -1/3) -1/3 (* (/ (* l l) t) 2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) (pow (/ k t) 2) (/ k t))
10.0ms
k
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) k t (cos k) (/ (pow (sin k) 2) (* l l)) (pow (sin k) 2) (sin k) (* l l) l (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (/ (* l l) t)) (/ 2 (pow k 4)) (pow k 4) 4 (/ (* l l) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* -2 (* k k)) -2 (* (/ (* l l) t) 7/120) 7/120 (* (/ (* l l) t) -1/3) -1/3 (* (/ (* l l) t) 2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) (pow (/ k t) 2) (/ k t))
9.0ms
k
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) k t (cos k) (/ (pow (sin k) 2) (* l l)) (pow (sin k) 2) (sin k) (* l l) l (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (/ (* l l) t)) (/ 2 (pow k 4)) (pow k 4) 4 (/ (* l l) t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* -2 (* k k)) -2 (* (/ (* l l) t) 7/120) 7/120 (* (/ (* l l) t) -1/3) -1/3 (* (/ (* l l) t) 2) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) 3 (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) (pow (/ k t) 2) (/ k t))

rewrite177.0ms (1.9%)

Memory
-10.8MiB live, 173.9MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05114047
05813893
129053815
082483726
Stop Event
iter limit
node limit
iter limit
Counts
153 → 503
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l))))
(*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k))
(*.f64 (*.f64 k k) t)
(*.f64 k k)
k
t
(cos.f64 k)
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
(*.f64 l l)
l
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t))
(/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64)))
(pow.f64 k #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (*.f64 l l) t)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 k k))
#s(literal -2 binary64)
(*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64))
#s(literal 7/120 binary64)
(*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(pow.f64 t #s(literal 3 binary64))
#s(literal 3 binary64)
(tan.f64 k)
(-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (/ (* (pow k 2) t) (cos k))))
#s(approx (* (* k k) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 2 (pow k 4)) (/ (* l l) t)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* l l) t) #s(hole binary64 (/ (pow l 2) t)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1/3 (pow l 2)) (* -7/60 (* (pow k 2) (pow l 2)))))) (* (pow k 4) t))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1/3 (pow l 2)) (* -7/60 (* (pow k 2) (pow l 2)))))) t)))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (/ (+ (* -1/3 (pow l 2)) (* -7/60 (* (pow k 2) (pow l 2)))) t)))
#s(approx (* (/ (* l l) t) 7/120) #s(hole binary64 (* 7/120 (/ (pow l 2) t))))
#s(approx (* (/ (* l l) t) -1/3) #s(hole binary64 (* -1/3 (/ (pow l 2) t))))
#s(approx (* (/ (* l l) t) 2) #s(hole binary64 (* 2 (/ (pow l 2) t))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* (pow t 3) (sin k)) (pow l 2))))
#s(approx (/ (pow t 3) (* l l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (pow t 3) #s(hole binary64 (pow t 3)))
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (+ (pow k 2) (pow t 2)) (pow t 2))))
#s(approx (pow (/ k t) 2) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (/ k t) #s(hole binary64 (/ k t)))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (+ 1 (/ (pow k 2) (pow t 2)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -1 (/ (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))))) (* (pow k 4) t)))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* -1 (/ (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))))) t))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* -1 (/ (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))) t))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (/ (pow (sin k) 2) (pow l 2))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx l #s(hole binary64 l))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (* (pow l 2) (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t)))) (pow k 4))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* (pow l 2) (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t))))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* (pow l 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* 1/2 (* (pow k 2) t))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/720 t) (+ (* 1/48 t) (* 1/2 (+ (* -1/4 t) (* 1/24 t))))))) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx k #s(hole binary64 k))
#s(approx (cos k) #s(hole binary64 1))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* 2/45 (/ (pow k 2) (pow l 2))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/315 (/ (pow k 2) (pow l 2))) (* 2/45 (/ 1 (pow l 2))))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow k 2)))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx (/ 2 (pow k 4)) #s(hole binary64 (/ 2 (pow k 4))))
#s(approx (pow k 4) #s(hole binary64 (pow k 4)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t))))) (pow k 4))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* 2 (/ (pow l 2) t))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t)))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t)))))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* -1/3 (/ (pow l 2) t))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t)))))
#s(approx (* -2 (* k k)) #s(hole binary64 (* -2 (pow k 2))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/6 (/ (pow t 3) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 31/360 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* 1/120 (/ (* (pow k 2) (pow t 3)) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* -1/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/120 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (tan k) #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* 1/3 (pow k 2))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow (sin k) 2)))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -7/60 (/ (pow l 2) t))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (* -7/60 (/ (pow l 2) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (+ (* -7/60 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 4) t)))))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* -7/60 (/ (* (pow k 4) (pow l 2)) t))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* (pow k 4) (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (* -7/60 (/ (pow l 2) t))))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) #s(hole binary64 (* (pow k 4) (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (+ (* -7/60 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 4) t))))))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* -7/60 (/ (* (pow k 2) (pow l 2)) t))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (* -7/60 (/ (pow l 2) t))))))
#s(approx (tan k) #s(hole binary64 (/ (sin k) (cos k))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
Outputs
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k))))
(*.f64 (/.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (neg.f64 l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (neg.f64 l)))
(*.f64 (/.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (fabs.f64 l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (fabs.f64 l)))
(*.f64 (/.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))
(*.f64 (/.f64 (*.f64 k k) (cos.f64 k)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l)))
(*.f64 (*.f64 (/.f64 k l) (/.f64 k l)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)))
(*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l) (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))))
(*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l))
(*.f64 (*.f64 k k) (*.f64 (/.f64 t (cos.f64 k)) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (/.f64 (*.f64 k k) l))) (neg.f64 (cos.f64 k)))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 151/7560 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2/45 binary64) l) (/.f64 t l) (*.f64 (-.f64 (*.f64 #s(literal -1/315 binary64) (/.f64 t (*.f64 l l))) (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/720 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)))))) (*.f64 k k))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t))
#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 k k)))
#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 k k)) (*.f64 t #s(literal -5/24 binary64)) (*.f64 #s(literal 1/2 binary64) t)) (*.f64 k k) t) (*.f64 k k)))
#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) t (fma.f64 #s(literal 1/48 binary64) t (*.f64 (*.f64 t #s(literal -5/24 binary64)) #s(literal 1/2 binary64)))) (*.f64 k k))) (*.f64 t #s(literal -5/24 binary64))) (*.f64 k k) (*.f64 #s(literal 1/2 binary64) t)) (*.f64 k k) t) (*.f64 k k)))
#s(approx (* k k) (*.f64 k k))
#s(approx k k)
#s(approx (cos k) #s(literal 1 binary64))
#s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos k) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 k k) #s(literal 1/24 binary64)) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l)))
#s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 l l)) (*.f64 k k) (pow.f64 l #s(literal -2 binary64))) (*.f64 k k)))
#s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) (*.f64 l l)) (*.f64 k k) (*.f64 #s(literal -1/3 binary64) (pow.f64 l #s(literal -2 binary64)))) (*.f64 k k) (pow.f64 l #s(literal -2 binary64))) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 k k))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (sin k) k)
#s(approx (sin k) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (sin k) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (sin k) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 k k) #s(literal 1/120 binary64)) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (/ 2 (pow k 4)) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))))
#s(approx (pow k 4) (pow.f64 k #s(literal 4 binary64)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) #s(literal -7/60 binary64) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) t) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64)))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) #s(literal -7/60 binary64) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) t) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64)))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (/.f64 (fma.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) #s(literal -7/60 binary64) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) t))
#s(approx (* -2 (* k k)) (*.f64 (*.f64 #s(literal -2 binary64) k) k))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) (pow.f64 t #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))) (*.f64 l l)) (*.f64 k k)))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) (pow.f64 t #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 t #s(literal 3 binary64)))) (*.f64 l l)) (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) (*.f64 k k)))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) (pow.f64 t #s(literal 3 binary64))) (*.f64 #s(literal 31/360 binary64) (pow.f64 t #s(literal 3 binary64)))) (*.f64 l l)) (*.f64 k k) (*.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) (*.f64 k k)))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 k k) (pow.f64 t #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))) (*.f64 l l)) k))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 k k) (pow.f64 t #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 t #s(literal 3 binary64)))) (*.f64 l l)) (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) k))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 k k) (pow.f64 t #s(literal 3 binary64))) (*.f64 #s(literal 1/120 binary64) (pow.f64 t #s(literal 3 binary64)))) (*.f64 l l)) (*.f64 k k) (*.f64 (/.f64 #s(literal -1/6 binary64) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) k))
#s(approx (tan k) k)
#s(approx (tan k) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (tan k) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 k k) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (tan k) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 k k) #s(literal 2/15 binary64)) (*.f64 k k) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (cos k) (cos.f64 k))
#s(approx (pow (sin k) 2) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
#s(approx (sin k) (sin.f64 k))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 k k)) (/.f64 (*.f64 l l) t) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 #s(literal -1/3 binary64) k) (/.f64 (*.f64 l l) (*.f64 k t)) (/.f64 (fma.f64 #s(literal -7/60 binary64) (*.f64 l l) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l))) t)))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (*.f64 (*.f64 (pow.f64 k #s(literal 4 binary64)) (/.f64 (*.f64 l l) t)) #s(literal -7/60 binary64)))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 k k)) (/.f64 (*.f64 l l) t) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) k) (/.f64 (*.f64 l l) (*.f64 k t)) (/.f64 (fma.f64 #s(literal -7/60 binary64) (*.f64 l l) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l))) t)) (pow.f64 k #s(literal 4 binary64))))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) t) #s(literal -7/60 binary64)))
#s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 k k)) (/.f64 (*.f64 l l) t) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))) (*.f64 k k)))
#s(approx (tan k) (tan.f64 k))
#s(approx (+ 1 (pow (/ k t) 2)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 k k))))

eval102.0ms (1.1%)

Memory
-25.0MiB live, 116.3MiB allocated; 20ms collecting garbage
Compiler

Compiled 40 914 to 3 321 computations (91.9% saved)

prune45.0ms (0.5%)

Memory
36.0MiB live, 82.9MiB allocated; 1ms collecting garbage
Pruning

33 alts after pruning (33 fresh and 0 done)

PrunedKeptTotal
New79331824
Fresh10212
Picked505
Done000
Total80833841
Accuracy
98.3%
Counts
841 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
41.1%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
74.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 (cos.f64 k) (*.f64 l l)))))
85.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
88.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (/.f64 (*.f64 k k) l)) (cos.f64 k))))
82.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 k k) t) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l)) (cos.f64 k))))
74.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (neg.f64 (*.f64 k k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (neg.f64 (*.f64 l l)) (cos.f64 k)))))
75.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))))
92.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l)))))
75.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 k #s(literal -2 binary64))) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
67.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
63.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) (*.f64 l l)))))
67.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
65.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64)) (*.f64 (log.f64 l) #s(literal 2 binary64)))))))
74.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
78.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
93.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
65.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 k k))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
65.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
40.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))))
33.7%
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 k) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))))
30.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
51.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
62.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
62.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
59.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) t)))
64.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
60.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
75.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
59.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
67.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
60.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
22.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
Compiler

Compiled 3 034 to 2 038 computations (32.8% saved)

series207.0ms (2.2%)

Memory
-22.4MiB live, 153.2MiB allocated; 94ms collecting garbage
Counts
44 → 118
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))
(*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l))
(/.f64 k l)
k
l
(/.f64 (*.f64 k t) l)
(*.f64 k t)
t
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
(cos.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t)))
(*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))
#s(literal -7/60 binary64)
(/.f64 (*.f64 l l) t)
(*.f64 l l)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l)))))
(*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))
(/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k))
(*.f64 (*.f64 k k) t)
(*.f64 k k)
#s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l)))
(*.f64 (/.f64 k l) (/.f64 k l))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l))))
(*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))
(cos.f64 (*.f64 #s(literal 2 binary64) k))
(*.f64 #s(literal 2 binary64) k)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k))))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))
(*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l)
(*.f64 l (cos.f64 k))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (/ k l) (/ (* k t) l)) #s(hole binary64 (/ (* (pow k 2) t) (pow l 2))))
#s(approx (/ (* k t) l) #s(hole binary64 (/ (* k t) l)))
#s(approx (* k t) #s(hole binary64 (* k t)))
#s(approx t #s(hole binary64 t))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1/3 (pow l 2)) (* -7/60 (* (pow k 2) (pow l 2)))))) (* (pow k 4) t))))
#s(approx (* -7/60 (/ (* l l) t)) #s(hole binary64 (* -7/60 (/ (pow l 2) t))))
#s(approx (/ (* l l) t) #s(hole binary64 (/ (pow l 2) t)))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (/ (* (pow k 2) t) (cos k))))
#s(approx (* (* k k) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) l)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -1 (/ (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))))) (* (pow k 4) t)))))
#s(approx (/ k l) #s(hole binary64 (/ k l)))
#s(approx l #s(hole binary64 l))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (* (pow l 2) (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t)))) (pow k 4))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (/ (pow (sin k) 2) (pow l 2))))
#s(approx (* (/ k l) (/ k l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (pow l 2))))
#s(approx (/ (pow (sin k) 2) l) #s(hole binary64 (/ (pow (sin k) 2) l)))
#s(approx (* l (cos k)) #s(hole binary64 (* l (cos k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx k #s(hole binary64 k))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (pow k 2)))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* 1/6 (pow k 2))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* 31/360 (pow k 2))))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* (pow k 2) (+ 31/360 (* 173/5040 (pow k 2))))))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow k 2)))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx (cos k) #s(hole binary64 1))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t))))) (pow k 4))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* 1/2 (* (pow k 2) t))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/720 t) (+ (* 1/48 t) (* 1/2 (+ (* -1/4 t) (* 1/24 t))))))) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* 2/45 (/ (pow k 2) (pow l 2))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/315 (/ (pow k 2) (pow l 2))) (* 2/45 (/ 1 (pow l 2))))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* 2/45 (/ (pow k 2) (pow l 2))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/315 (/ (pow k 2) (pow l 2))) (* 2/45 (/ 1 (pow l 2))))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (pow k 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* -1 (pow k 2)))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* 1/3 (pow k 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* (pow k 2) (+ 1/3 (* -2/45 (pow k 2)))) 1)))))
#s(approx (cos (* 2 k)) #s(hole binary64 1))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* -2 (pow k 2)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 2/3 (pow k 2)) 2)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/3 (* -4/45 (pow k 2)))) 2)))))
#s(approx (* 2 k) #s(hole binary64 (* 2 k)))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) #s(hole binary64 (/ (* (pow k 4) t) l)))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) #s(hole binary64 (* (pow k 4) (+ (* -1/3 (/ (* (pow k 2) t) l)) (/ t l)))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* 2/45 (/ (* (pow k 2) t) l)))) (/ t l)))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) l)) (* 2/45 (/ t l)))))) (/ t l)))))
#s(approx (/ (pow (sin k) 2) l) #s(hole binary64 (/ (pow k 2) l)))
#s(approx (/ (pow (sin k) 2) l) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow k 2) l)) (/ 1 l)))))
#s(approx (/ (pow (sin k) 2) l) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* 2/45 (/ (pow k 2) l)) (* 1/3 (/ 1 l)))) (/ 1 l)))))
#s(approx (/ (pow (sin k) 2) l) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/315 (/ (pow k 2) l)) (* 2/45 (/ 1 l)))) (* 1/3 (/ 1 l)))) (/ 1 l)))))
#s(approx (* l (cos k)) #s(hole binary64 l))
#s(approx (* l (cos k)) #s(hole binary64 (+ l (* -1/2 (* (pow k 2) l)))))
#s(approx (* l (cos k)) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))))
#s(approx (* l (cos k)) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (/ (pow (sin k) 2) (cos k))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow (sin k) 2)))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -7/60 (/ (pow l 2) t))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (* -7/60 (/ (pow l 2) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (+ (* -7/60 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 4) t)))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 k))))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (* 1/2 (cos (* 2 k)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (cos (* 2 k))))
Calls

9 calls:

TimeVariablePointExpression
72.0ms
t
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) (* (/ k l) (/ (* k t) l)) (/ k l) k l (/ (* k t) l) (* k t) t (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (/ (* l l) t)) -7/60 (/ (* l l) t) (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) (/ (pow (sin k) 2) (* l l)) (* (/ k l) (/ k l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) (* (/ (pow (sin k) 2) l) (* (* k k) t)) (/ (pow (sin k) 2) l) (* l (cos k)))
50.0ms
l
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) (* (/ k l) (/ (* k t) l)) (/ k l) k l (/ (* k t) l) (* k t) t (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (/ (* l l) t)) -7/60 (/ (* l l) t) (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) (/ (pow (sin k) 2) (* l l)) (* (/ k l) (/ k l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) (* (/ (pow (sin k) 2) l) (* (* k k) t)) (/ (pow (sin k) 2) l) (* l (cos k)))
27.0ms
k
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) (* (/ k l) (/ (* k t) l)) (/ k l) k l (/ (* k t) l) (* k t) t (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (/ (* l l) t)) -7/60 (/ (* l l) t) (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) (/ (pow (sin k) 2) (* l l)) (* (/ k l) (/ k l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) (* (/ (pow (sin k) 2) l) (* (* k k) t)) (/ (pow (sin k) 2) l) (* l (cos k)))
10.0ms
l
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) (* (/ k l) (/ (* k t) l)) (/ k l) k l (/ (* k t) l) (* k t) t (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (/ (* l l) t)) -7/60 (/ (* l l) t) (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) (/ (pow (sin k) 2) (* l l)) (* (/ k l) (/ k l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) (* (/ (pow (sin k) 2) l) (* (* k k) t)) (/ (pow (sin k) 2) l) (* l (cos k)))
10.0ms
t
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) (* (/ k l) (/ (* k t) l)) (/ k l) k l (/ (* k t) l) (* k t) t (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (/ (* l l) t)) -7/60 (/ (* l l) t) (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) (/ (pow (sin k) 2) (* l l)) (* (/ k l) (/ k l)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (- 1/2 (* 1/2 (cos (* 2 k)))) 1/2 (* 1/2 (cos (* 2 k))) (cos (* 2 k)) (* 2 k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) (* (/ (pow (sin k) 2) l) (* (* k k) t)) (/ (pow (sin k) 2) l) (* l (cos k)))

rewrite176.0ms (1.9%)

Memory
-11.6MiB live, 171.4MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05574794
06144410
131164310
080874158
Stop Event
iter limit
node limit
iter limit
Counts
162 → 486
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))
(*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l))
(/.f64 k l)
k
l
(/.f64 (*.f64 k t) l)
(*.f64 k t)
t
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
(cos.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t)))
(*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))
#s(literal -7/60 binary64)
(/.f64 (*.f64 l l) t)
(*.f64 l l)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l)))))
(*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))
(/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k))
(*.f64 (*.f64 k k) t)
(*.f64 k k)
#s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l)))
(*.f64 (/.f64 k l) (/.f64 k l))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l))))
(*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))
(cos.f64 (*.f64 #s(literal 2 binary64) k))
(*.f64 #s(literal 2 binary64) k)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k))))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))
(*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l)
(*.f64 l (cos.f64 k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (/ k l) (/ (* k t) l)) #s(hole binary64 (/ (* (pow k 2) t) (pow l 2))))
#s(approx (/ (* k t) l) #s(hole binary64 (/ (* k t) l)))
#s(approx (* k t) #s(hole binary64 (* k t)))
#s(approx t #s(hole binary64 t))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1/3 (pow l 2)) (* -7/60 (* (pow k 2) (pow l 2)))))) (* (pow k 4) t))))
#s(approx (* -7/60 (/ (* l l) t)) #s(hole binary64 (* -7/60 (/ (pow l 2) t))))
#s(approx (/ (* l l) t) #s(hole binary64 (/ (pow l 2) t)))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (/ (* (pow k 2) t) (cos k))))
#s(approx (* (* k k) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) #s(hole binary64 (/ (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) l)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -1 (/ (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))))) (* (pow k 4) t)))))
#s(approx (/ k l) #s(hole binary64 (/ k l)))
#s(approx l #s(hole binary64 l))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (* (pow l 2) (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t)))) (pow k 4))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (/ (pow (sin k) 2) (pow l 2))))
#s(approx (* (/ k l) (/ k l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) #s(hole binary64 (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (pow l 2))))
#s(approx (/ (pow (sin k) 2) l) #s(hole binary64 (/ (pow (sin k) 2) l)))
#s(approx (* l (cos k)) #s(hole binary64 (* l (cos k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (/ k l) (/ (* k t) l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx k #s(hole binary64 k))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (pow k 2)))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* 1/6 (pow k 2))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* 31/360 (pow k 2))))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* (pow k 2) (+ 31/360 (* 173/5040 (pow k 2))))))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow k 2)))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx (cos k) #s(hole binary64 1))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t))))) (pow k 4))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
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#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* 1/2 (* (pow k 2) t))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
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#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* 2/45 (/ (pow k 2) (pow l 2))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (/ (pow (sin k) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/315 (/ (pow k 2) (pow l 2))) (* 2/45 (/ 1 (pow l 2))))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
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#s(approx (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* 2/45 (/ (pow k 2) (pow l 2))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/315 (/ (pow k 2) (pow l 2))) (* 2/45 (/ 1 (pow l 2))))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (pow k 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* -1 (pow k 2)))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* 1/3 (pow k 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (+ 1/2 (* (pow k 2) (- (* (pow k 2) (+ 1/3 (* -2/45 (pow k 2)))) 1)))))
#s(approx (cos (* 2 k)) #s(hole binary64 1))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* -2 (pow k 2)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 2/3 (pow k 2)) 2)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/3 (* -4/45 (pow k 2)))) 2)))))
#s(approx (* 2 k) #s(hole binary64 (* 2 k)))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) #s(hole binary64 (/ (* (pow k 4) t) l)))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) #s(hole binary64 (* (pow k 4) (+ (* -1/3 (/ (* (pow k 2) t) l)) (/ t l)))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* 2/45 (/ (* (pow k 2) t) l)))) (/ t l)))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) l)) (* 2/45 (/ t l)))))) (/ t l)))))
#s(approx (/ (pow (sin k) 2) l) #s(hole binary64 (/ (pow k 2) l)))
#s(approx (/ (pow (sin k) 2) l) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow k 2) l)) (/ 1 l)))))
#s(approx (/ (pow (sin k) 2) l) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* 2/45 (/ (pow k 2) l)) (* 1/3 (/ 1 l)))) (/ 1 l)))))
#s(approx (/ (pow (sin k) 2) l) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/315 (/ (pow k 2) l)) (* 2/45 (/ 1 l)))) (* 1/3 (/ 1 l)))) (/ 1 l)))))
#s(approx (* l (cos k)) #s(hole binary64 l))
#s(approx (* l (cos k)) #s(hole binary64 (+ l (* -1/2 (* (pow k 2) l)))))
#s(approx (* l (cos k)) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))))
#s(approx (* l (cos k)) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (/ (pow (sin k) 2) (cos k))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow (sin k) 2)))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -7/60 (/ (pow l 2) t))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (* -7/60 (/ (pow l 2) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (+ (* -7/60 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 4) t)))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 k))))))
#s(approx (* 1/2 (cos (* 2 k))) #s(hole binary64 (* 1/2 (cos (* 2 k)))))
#s(approx (cos (* 2 k)) #s(hole binary64 (cos (* 2 k))))
Outputs
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k))))
(*.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)))
(*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (/.f64 (*.f64 (*.f64 k k) t) (*.f64 (cos.f64 k) l)))
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l) (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))))
(*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l))
(*.f64 (*.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)))
(*.f64 (*.f64 k k) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (cos.f64 k) (*.f64 l l))))
(*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) l)) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l))) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l))) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (*.f64 l l)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)))) (neg.f64 (neg.f64 (*.f64 (cos.f64 k) l))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (cos.f64 k) (*.f64 l l)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (cos.f64 k)))
(/.f64 (*.f64 (*.f64 k (/.f64 k l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 (*.f64 (/.f64 k l) k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 (neg.f64 (*.f64 k k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (neg.f64 (*.f64 l l)) (cos.f64 k)))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (neg.f64 (*.f64 (*.f64 k k) t))) (*.f64 l (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l)) (*.f64 (neg.f64 (cos.f64 k)) l))
(/.f64 (*.f64 (*.f64 k (/.f64 (*.f64 k t) l)) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (*.f64 k (/.f64 (*.f64 k t) l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 (*.f64 (/.f64 k l) (*.f64 k t)) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (*.f64 (/.f64 k l) (*.f64 k t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 l l)) (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (neg.f64 (cos.f64 k)) (neg.f64 (*.f64 l l))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 l l)) (cos.f64 k)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (neg.f64 (cos.f64 k)) (*.f64 l l)))
(/.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 l l) (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (cos.f64 k) (neg.f64 (*.f64 l l))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k (/.f64 (*.f64 k t) l))) (*.f64 (neg.f64 (cos.f64 k)) l))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (/.f64 k l) (*.f64 k t))) (*.f64 (neg.f64 (cos.f64 k)) l))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 k k) t))) (*.f64 (neg.f64 (*.f64 l l)) (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 k k) t))) (*.f64 (neg.f64 (cos.f64 k)) (neg.f64 (*.f64 l l))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 (neg.f64 l) (*.f64 (cos.f64 k) l)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 (neg.f64 (*.f64 l l)) (cos.f64 k)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 (neg.f64 (cos.f64 k)) (*.f64 l l)))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k (/.f64 (*.f64 k t) l))) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) (*.f64 k t))) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 k k) t))) (*.f64 (*.f64 l l) (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 k k) t))) (*.f64 (cos.f64 k) (neg.f64 (*.f64 l l))))
(/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) l) (cos.f64 k))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l)) (cos.f64 k))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 l (*.f64 (cos.f64 k) l)))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 (cos.f64 k) (*.f64 l l)))
(/.f64 (*.f64 (*.f64 (*.f64 k k) t) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l)) (cos.f64 k))
(/.f64 (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 l l))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (cos.f64 k))
(/.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t))) (neg.f64 (*.f64 (cos.f64 k) l)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (*.f64 (cos.f64 k) (*.f64 l l))))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (cos.f64 k) (*.f64 l l)))
(*.f64 (/.f64 (*.f64 k t) l) (/.f64 k l))
(*.f64 (*.f64 k k) (/.f64 t (*.f64 l l)))
(*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l))
(/.f64 (neg.f64 (*.f64 k (/.f64 (*.f64 k t) l))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (/.f64 k l) (*.f64 k t))) (neg.f64 l))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 k k) t))) (neg.f64 (neg.f64 (*.f64 l l))))
(/.f64 (*.f64 (neg.f64 (*.f64 k t)) (neg.f64 k)) (*.f64 l l))
(/.f64 (*.f64 (neg.f64 (*.f64 k t)) k) (*.f64 (neg.f64 l) l))
(/.f64 (*.f64 (*.f64 k t) (neg.f64 k)) (*.f64 l (neg.f64 l)))
(/.f64 (*.f64 (*.f64 k t) k) (*.f64 l l))
(/.f64 (*.f64 (neg.f64 k) (neg.f64 (*.f64 k t))) (*.f64 l l))
(/.f64 (*.f64 (neg.f64 k) (*.f64 k t)) (*.f64 (neg.f64 l) l))
(/.f64 (*.f64 k (neg.f64 (*.f64 k t))) (*.f64 l (neg.f64 l)))
(/.f64 (*.f64 k (/.f64 (*.f64 k t) l)) l)
(/.f64 (*.f64 (/.f64 k l) (*.f64 k t)) l)
(/.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (neg.f64 (*.f64 l l)))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/.f64 (neg.f64 (neg.f64 k)) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 k) (neg.f64 l))
(/.f64 k l)
k
l
(*.f64 k (/.f64 t l))
(/.f64 (neg.f64 (neg.f64 (*.f64 k t))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 k t)) (neg.f64 l))
(/.f64 (*.f64 k t) l)
(*.f64 k t)
(*.f64 t k)
t
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (cos.f64 k))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (cos.f64 k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 k)) (/.f64 (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64)) (cos.f64 k)))
(*.f64 (neg.f64 (sin.f64 k)) (neg.f64 (sin.f64 k)))
(*.f64 (fabs.f64 (sin.f64 k)) (fabs.f64 (sin.f64 k)))
(*.f64 (exp.f64 (log.f64 (sin.f64 k))) (exp.f64 (log.f64 (sin.f64 k))))
(*.f64 (sin.f64 k) (sin.f64 k))
(pow.f64 (exp.f64 (log.f64 (sin.f64 k))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(literal 1 binary64))
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#s(approx (* (* k k) t) (*.f64 (*.f64 k k) t))
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#s(approx (/ k l) (/.f64 k l))
#s(approx l l)
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#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l))
#s(approx (* (/ k l) (/ k l)) (pow.f64 (/.f64 k l) #s(literal 2 binary64)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (/.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) l))
#s(approx (/ (pow (sin k) 2) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
#s(approx (* l (cos k)) (*.f64 (cos.f64 k) l))
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#s(approx k k)
#s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))
#s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 (fma.f64 #s(literal 31/360 binary64) (*.f64 k k) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64)) (*.f64 k k) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 k k))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (sin k) k)
#s(approx (sin k) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (sin k) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (sin k) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 k k) #s(literal 1/120 binary64)) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (cos k) #s(literal 1 binary64))
#s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos k) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 k k) #s(literal 1/24 binary64)) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
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#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 (*.f64 (*.f64 k k) t) #s(literal 1/2 binary64) t) (*.f64 k k)))
#s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 k k)) (*.f64 t #s(literal -5/24 binary64)) (*.f64 #s(literal 1/2 binary64) t)) (*.f64 k k) t) (*.f64 k k)))
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#s(approx (* k k) (*.f64 k k))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (pow.f64 (/.f64 k l) #s(literal 2 binary64)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (*.f64 (fma.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (pow.f64 l #s(literal -2 binary64))) (*.f64 k k)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 l l)) (*.f64 k k) (pow.f64 l #s(literal -2 binary64))) (*.f64 k k)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) (*.f64 l l)) (*.f64 k k) (*.f64 #s(literal -1/3 binary64) (pow.f64 l #s(literal -2 binary64)))) (*.f64 k k) (pow.f64 l #s(literal -2 binary64))) (*.f64 k k)))
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#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (pow.f64 (/.f64 k l) #s(literal 2 binary64)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (*.f64 (fma.f64 (pow.f64 (/.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (pow.f64 l #s(literal -2 binary64))) (*.f64 k k)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 l l)) (*.f64 k k) (pow.f64 l #s(literal -2 binary64))) (*.f64 k k)))
#s(approx (/ (- 1/2 (* 1/2 (cos (* 2 k)))) (* l l)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) (*.f64 l l)) (*.f64 k k) (*.f64 #s(literal -1/3 binary64) (pow.f64 l #s(literal -2 binary64)))) (*.f64 k k) (pow.f64 l #s(literal -2 binary64))) (*.f64 k k)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 k k))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (* 1/2 (cos (* 2 k))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 k))) (fma.f64 #s(literal -1 binary64) (*.f64 k k) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 k))) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 k k)) #s(literal 1 binary64)) (*.f64 k k) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 k))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 k k) #s(literal 1/3 binary64)) (*.f64 k k)) #s(literal 1 binary64)) (*.f64 k k) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 k)) #s(literal 1 binary64))
#s(approx (cos (* 2 k)) (fma.f64 (*.f64 k k) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (cos (* 2 k)) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 k k)) #s(literal 2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos (* 2 k)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 k k) #s(literal 2/3 binary64)) (*.f64 k k)) #s(literal 2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (* 2 k) (*.f64 k #s(literal 2 binary64)))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (*.f64 (pow.f64 k #s(literal 4 binary64)) (/.f64 t (*.f64 l l))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k) (*.f64 (/.f64 t (*.f64 l l)) #s(literal -1/3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/315 binary64) (/.f64 t (*.f64 l l))) (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/720 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)))))) (*.f64 k k) (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l)))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k) (*.f64 (/.f64 t (*.f64 l l)) #s(literal -1/3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) (/.f64 (*.f64 (pow.f64 k #s(literal 4 binary64)) t) l))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k k) t) t) l) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal -1/3 binary64) t)) l) (*.f64 k k) (/.f64 t l)) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/45 binary64) t (*.f64 #s(literal -1/315 binary64) (*.f64 (*.f64 k k) t))) l) (*.f64 k k) (*.f64 (/.f64 t l) #s(literal -1/3 binary64))) (*.f64 k k) (/.f64 t l)) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (pow (sin k) 2) l) (/.f64 (*.f64 k k) l))
#s(approx (/ (pow (sin k) 2) l) (*.f64 (/.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) l) (*.f64 k k)))
#s(approx (/ (pow (sin k) 2) l) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) l) (*.f64 k k) (pow.f64 l #s(literal -1 binary64))) (*.f64 k k)))
#s(approx (/ (pow (sin k) 2) l) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) l) (*.f64 k k)) (/.f64 #s(literal 1/3 binary64) l)) (*.f64 k k) (pow.f64 l #s(literal -1 binary64))) (*.f64 k k)))
#s(approx (* l (cos k)) l)
#s(approx (* l (cos k)) (fma.f64 (*.f64 (*.f64 k k) l) #s(literal -1/2 binary64) l))
#s(approx (* l (cos k)) (fma.f64 (fma.f64 (*.f64 (*.f64 k k) l) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) l)) (*.f64 k k) l))
#s(approx (* l (cos k)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 k k) l) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) l)) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) l)) (*.f64 k k) l))
#s(approx (/ (pow (sin k) 2) (cos k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
#s(approx (sin k) (sin.f64 k))
#s(approx (cos k) (cos.f64 k))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) #s(literal -1/3 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
#s(approx (* 1/2 (cos (* 2 k))) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 k)) (cos.f64 (*.f64 k #s(literal 2 binary64))))

eval65.0ms (0.7%)

Memory
22.6MiB live, 119.7MiB allocated; 14ms collecting garbage
Compiler

Compiled 28 212 to 2 458 computations (91.3% saved)

prune62.0ms (0.7%)

Memory
-14.9MiB live, 124.4MiB allocated; 10ms collecting garbage
Pruning

38 alts after pruning (37 fresh and 1 done)

PrunedKeptTotal
New51027537
Fresh181028
Picked415
Done000
Total53238570
Accuracy
99.6%
Counts
570 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
41.1%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
93.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) (*.f64 k t))) (*.f64 (cos.f64 k) l))))
74.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
75.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
72.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
73.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
86.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k k)) t) (*.f64 l (cos.f64 k)))))
92.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 k l) k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (cos.f64 k) l))))
73.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 k #s(literal -2 binary64))) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
67.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l l)))))
53.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
60.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
70.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
75.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
94.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))))
75.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
82.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cos.f64 k)))))
71.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64))) (cos.f64 k)))))
74.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
91.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
67.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
75.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (cos.f64 k) (*.f64 l l))))))
65.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
58.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
73.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
30.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
51.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
62.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
62.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
59.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) t)))
60.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
75.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
67.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
23.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))))))
22.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
22.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
20.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
Compiler

Compiled 3 703 to 2 441 computations (34.1% saved)

series161.0ms (1.7%)

Memory
17.6MiB live, 202.9MiB allocated; 19ms collecting garbage
Counts
42 → 94
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
(*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))
(/.f64 k l)
k
l
(*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(/.f64 (*.f64 k t) l)
(*.f64 k t)
t
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
(cos.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t))))
(*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))
#s(literal -7/60 binary64)
(*.f64 l (/.f64 l t))
(/.f64 l t)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64))
(*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t))
(/.f64 l (pow.f64 k #s(literal 4 binary64)))
(pow.f64 k #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l)))
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))
(*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l)
(*.f64 (*.f64 k k) t)
(*.f64 k k)
#s(approx (* l (cos k)) l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) t)))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) t))
(/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64)))
(/.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) t)
(exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))
(*.f64 (log.f64 l) #s(literal 2 binary64))
(log.f64 l)
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (/ k l) (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k)))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (/ (* k (* t (pow (sin k) 2))) (* l (cos k)))))
#s(approx (/ (* k t) l) #s(hole binary64 (/ (* k t) l)))
#s(approx (* k t) #s(hole binary64 (* k t)))
#s(approx t #s(hole binary64 t))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1/3 (pow l 2)) (* -7/60 (* (pow k 2) (pow l 2)))))) (* (pow k 4) t))))
#s(approx (* -7/60 (* l (/ l t))) #s(hole binary64 (* -7/60 (/ (pow l 2) t))))
#s(approx (* l (/ l t)) #s(hole binary64 (/ (pow l 2) t)))
#s(approx (/ l t) #s(hole binary64 (/ l t)))
#s(approx (* (* (/ l (pow k 4)) (/ l t)) 2) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (/ l (pow k 4)) (/ l t)) #s(hole binary64 (/ (pow l 2) (* (pow k 4) t))))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) l)))
#s(approx (* (* k k) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (/ 2 (pow k 4)) (/ (exp (* (log l) 2)) t)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (exp (* (log l) 2)) t) #s(hole binary64 (/ (pow l 2) t)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -1 (/ (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* 7/60 (* (pow k 2) (pow l 2))) (* 1/3 (pow l 2))))) (* (pow k 4) t)))))
#s(approx (/ k l) #s(hole binary64 (/ k l)))
#s(approx l #s(hole binary64 l))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (* (pow l 2) (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t)))) (pow k 4))))
#s(approx (/ l (pow k 4)) #s(hole binary64 (/ l (pow k 4))))
#s(approx (/ (pow (sin k) 2) l) #s(hole binary64 (/ (pow (sin k) 2) l)))
#s(approx (* l (cos k)) #s(hole binary64 (* l (cos k))))
#s(approx (exp (* (log l) 2)) #s(hole binary64 (pow l 2)))
#s(approx (* (log l) 2) #s(hole binary64 (* 2 (log l))))
#s(approx (log l) #s(hole binary64 (log l)))
#s(approx (* (log l) 2) #s(hole binary64 (* -2 (log (/ 1 l)))))
#s(approx (log l) #s(hole binary64 (* -1 (log (/ 1 l)))))
#s(approx (* (log l) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 l)))))))
#s(approx (log l) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (/ k l) (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k)))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ k l) (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k)))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ k l) (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k)))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ k l) (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k)))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx k #s(hole binary64 k))
#s(approx (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (/ (* (pow k 3) t) l)))
#s(approx (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 3) (+ (* (pow k 2) (- (* -1/3 (/ t l)) (* -1/2 (/ t l)))) (/ t l)))))
#s(approx (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 3) (+ (* (pow k 2) (- (+ (* -1/3 (/ t l)) (* (pow k 2) (- (* 2/45 (/ t l)) (+ (* -1/2 (- (* -1/3 (/ t l)) (* -1/2 (/ t l)))) (* 1/24 (/ t l)))))) (* -1/2 (/ t l)))) (/ t l)))))
#s(approx (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 3) (+ (* (pow k 2) (- (+ (* -1/3 (/ t l)) (* (pow k 2) (- (+ (* 2/45 (/ t l)) (* (pow k 2) (- (* -1/315 (/ t l)) (+ (* -1/2 (- (* 2/45 (/ t l)) (+ (* -1/2 (- (* -1/3 (/ t l)) (* -1/2 (/ t l)))) (* 1/24 (/ t l))))) (+ (* -1/720 (/ t l)) (* 1/24 (- (* -1/3 (/ t l)) (* -1/2 (/ t l))))))))) (+ (* -1/2 (- (* -1/3 (/ t l)) (* -1/2 (/ t l)))) (* 1/24 (/ t l)))))) (* -1/2 (/ t l)))) (/ t l)))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (pow k 2)))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* 1/6 (pow k 2))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* 31/360 (pow k 2))))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* (pow k 2) (+ 31/360 (* 173/5040 (pow k 2))))))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow k 2)))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx (cos k) #s(hole binary64 1))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t))))) (pow k 4))))
#s(approx (pow k 4) #s(hole binary64 (pow k 4)))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) #s(hole binary64 (/ (* (pow k 4) t) l)))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) #s(hole binary64 (* (pow k 4) (+ (* -1/3 (/ (* (pow k 2) t) l)) (/ t l)))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* 2/45 (/ (* (pow k 2) t) l)))) (/ t l)))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) l)) (* 2/45 (/ t l)))))) (/ t l)))))
#s(approx (/ (pow (sin k) 2) l) #s(hole binary64 (/ (pow k 2) l)))
#s(approx (/ (pow (sin k) 2) l) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow k 2) l)) (/ 1 l)))))
#s(approx (/ (pow (sin k) 2) l) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* 2/45 (/ (pow k 2) l)) (* 1/3 (/ 1 l)))) (/ 1 l)))))
#s(approx (/ (pow (sin k) 2) l) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/315 (/ (pow k 2) l)) (* 2/45 (/ 1 l)))) (* 1/3 (/ 1 l)))) (/ 1 l)))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx (* l (cos k)) #s(hole binary64 l))
#s(approx (* l (cos k)) #s(hole binary64 (+ l (* -1/2 (* (pow k 2) l)))))
#s(approx (* l (cos k)) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))))
#s(approx (* l (cos k)) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))))
#s(approx (/ 2 (pow k 4)) #s(hole binary64 (/ 2 (pow k 4))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (/ (pow (sin k) 2) (cos k))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow (sin k) 2)))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -7/60 (/ (pow l 2) t))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (* -7/60 (/ (pow l 2) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (+ (* -7/60 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 4) t)))))))
Calls

9 calls:

TimeVariablePointExpression
48.0ms
l
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ k l) (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k)))) (/ k l) k l (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k))) (/ (* k t) l) (* k t) t (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (* l (/ l t))) -7/60 (* l (/ l t)) (/ l t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (/ l (pow k 4)) (/ l t)) 2) (* (/ l (pow k 4)) (/ l t)) (/ l (pow k 4)) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) (* (/ (pow (sin k) 2) l) (* (* k k) t)) (/ (pow (sin k) 2) l) (* (* k k) t) (* k k) (* l (cos k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (/ (exp (* (log l) 2)) t)) (/ 2 (pow k 4)) (/ (exp (* (log l) 2)) t) (exp (* (log l) 2)) (* (log l) 2) (log l))
28.0ms
l
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ k l) (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k)))) (/ k l) k l (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k))) (/ (* k t) l) (* k t) t (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (* l (/ l t))) -7/60 (* l (/ l t)) (/ l t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (/ l (pow k 4)) (/ l t)) 2) (* (/ l (pow k 4)) (/ l t)) (/ l (pow k 4)) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) (* (/ (pow (sin k) 2) l) (* (* k k) t)) (/ (pow (sin k) 2) l) (* (* k k) t) (* k k) (* l (cos k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (/ (exp (* (log l) 2)) t)) (/ 2 (pow k 4)) (/ (exp (* (log l) 2)) t) (exp (* (log l) 2)) (* (log l) 2) (log l))
23.0ms
t
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ k l) (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k)))) (/ k l) k l (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k))) (/ (* k t) l) (* k t) t (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (* l (/ l t))) -7/60 (* l (/ l t)) (/ l t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (/ l (pow k 4)) (/ l t)) 2) (* (/ l (pow k 4)) (/ l t)) (/ l (pow k 4)) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) (* (/ (pow (sin k) 2) l) (* (* k k) t)) (/ (pow (sin k) 2) l) (* (* k k) t) (* k k) (* l (cos k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (/ (exp (* (log l) 2)) t)) (/ 2 (pow k 4)) (/ (exp (* (log l) 2)) t) (exp (* (log l) 2)) (* (log l) 2) (log l))
19.0ms
l
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ k l) (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k)))) (/ k l) k l (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k))) (/ (* k t) l) (* k t) t (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (* l (/ l t))) -7/60 (* l (/ l t)) (/ l t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (/ l (pow k 4)) (/ l t)) 2) (* (/ l (pow k 4)) (/ l t)) (/ l (pow k 4)) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) (* (/ (pow (sin k) 2) l) (* (* k k) t)) (/ (pow (sin k) 2) l) (* (* k k) t) (* k k) (* l (cos k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (/ (exp (* (log l) 2)) t)) (/ 2 (pow k 4)) (/ (exp (* (log l) 2)) t) (exp (* (log l) 2)) (* (log l) 2) (log l))
8.0ms
k
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ k l) (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k)))) (/ k l) k l (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k))) (/ (* k t) l) (* k t) t (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (* -7/60 (* l (/ l t))) -7/60 (* l (/ l t)) (/ l t) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (/ l (pow k 4)) (/ l t)) 2) (* (/ l (pow k 4)) (/ l t)) (/ l (pow k 4)) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) (* (/ (pow (sin k) 2) l) (* (* k k) t)) (/ (pow (sin k) 2) l) (* (* k k) t) (* k k) (* l (cos k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (pow k 4)) (/ (exp (* (log l) 2)) t)) (/ 2 (pow k 4)) (/ (exp (* (log l) 2)) t) (exp (* (log l) 2)) (* (log l) 2) (log l))

rewrite185.0ms (2%)

Memory
10.7MiB live, 194.9MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04973596
05503409
128333374
080993261
Stop Event
iter limit
node limit
iter limit
Counts
136 → 469
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))))
#s(literal 2 binary64)
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(*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))
(/.f64 k l)
k
l
(*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(/.f64 (*.f64 k t) l)
(*.f64 k t)
t
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
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(sin.f64 k)
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(*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))
#s(literal -7/60 binary64)
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#s(literal 4 binary64)
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#s(approx (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (/ (* k (* t (pow (sin k) 2))) (* l (cos k)))))
#s(approx (/ (* k t) l) #s(hole binary64 (/ (* k t) l)))
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#s(approx t #s(hole binary64 t))
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#s(approx (* l (/ l t)) #s(hole binary64 (/ (pow l 2) t)))
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#s(approx l #s(hole binary64 l))
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#s(approx (* (log l) 2) #s(hole binary64 (* -2 (log (/ 1 l)))))
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#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* -7/60 (/ (* (pow k 2) (pow l 2)) t))))) (pow k 4))))
#s(approx (pow k 4) #s(hole binary64 (pow k 4)))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) #s(hole binary64 (/ (* (pow k 4) t) l)))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) #s(hole binary64 (* (pow k 4) (+ (* -1/3 (/ (* (pow k 2) t) l)) (/ t l)))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* 2/45 (/ (* (pow k 2) t) l)))) (/ t l)))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) l)) (* 2/45 (/ t l)))))) (/ t l)))))
#s(approx (/ (pow (sin k) 2) l) #s(hole binary64 (/ (pow k 2) l)))
#s(approx (/ (pow (sin k) 2) l) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow k 2) l)) (/ 1 l)))))
#s(approx (/ (pow (sin k) 2) l) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* 2/45 (/ (pow k 2) l)) (* 1/3 (/ 1 l)))) (/ 1 l)))))
#s(approx (/ (pow (sin k) 2) l) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/315 (/ (pow k 2) l)) (* 2/45 (/ 1 l)))) (* 1/3 (/ 1 l)))) (/ 1 l)))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx (* l (cos k)) #s(hole binary64 l))
#s(approx (* l (cos k)) #s(hole binary64 (+ l (* -1/2 (* (pow k 2) l)))))
#s(approx (* l (cos k)) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))))
#s(approx (* l (cos k)) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))))
#s(approx (/ 2 (pow k 4)) #s(hole binary64 (/ 2 (pow k 4))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (/ (pow (sin k) 2) (cos k))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow (sin k) 2)))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (* -7/60 (/ (pow l 2) t))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (* -7/60 (/ (pow l 2) t)))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) (* (pow k 2) t))) (+ (* -7/60 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 4) t)))))))
Outputs
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k (cos.f64 k)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l)) (/.f64 k l)))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k (cos.f64 k)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l)) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k (cos.f64 k)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l)) (/.f64 k l))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k (cos.f64 k)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l)) (/.f64 k l)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))
(*.f64 (/.f64 (*.f64 k k) (cos.f64 k)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)))
(*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (*.f64 (/.f64 k l) (/.f64 k l)))
(*.f64 (*.f64 (/.f64 k l) (/.f64 k l)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)))
(*.f64 (*.f64 (/.f64 (*.f64 k k) l) (/.f64 t l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(*.f64 (*.f64 (/.f64 k (cos.f64 k)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l)) (/.f64 k l))
(*.f64 (/.f64 k l) (*.f64 (/.f64 k (cos.f64 k)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l)))
(*.f64 (*.f64 k k) (*.f64 (/.f64 t (*.f64 l l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))
(/.f64 (neg.f64 (*.f64 k (*.f64 (/.f64 k (cos.f64 k)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l)))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (/.f64 (*.f64 k k) l))) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (*.f64 l l) (cos.f64 k)))))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (neg.f64 k)) (*.f64 (cos.f64 k) (neg.f64 l)))
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) k) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 (*.f64 (*.f64 k t) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))) (neg.f64 k)) (*.f64 l (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (*.f64 k t) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))) k) (*.f64 l l))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 k)) (*.f64 (cos.f64 k) (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) k) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (neg.f64 k)) (*.f64 (neg.f64 (*.f64 (cos.f64 k) l)) (neg.f64 l)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) k) (*.f64 (neg.f64 (*.f64 (cos.f64 k) l)) l))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) (neg.f64 k)) (*.f64 (*.f64 (cos.f64 k) l) (neg.f64 l)))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) k) (*.f64 (*.f64 (cos.f64 k) l) l))
(/.f64 (*.f64 (neg.f64 k) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)) (*.f64 (neg.f64 l) (cos.f64 k)))
(/.f64 (*.f64 (neg.f64 k) (*.f64 (*.f64 k t) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))) (*.f64 (neg.f64 l) l))
(/.f64 (*.f64 (neg.f64 k) (*.f64 (/.f64 (*.f64 k t) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (neg.f64 l) (cos.f64 k)))
(/.f64 (*.f64 (neg.f64 k) (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k))) (*.f64 (neg.f64 l) (neg.f64 (*.f64 (cos.f64 k) l))))
(/.f64 (*.f64 (neg.f64 k) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (*.f64 (neg.f64 l) (*.f64 (cos.f64 k) l)))
(/.f64 (*.f64 k (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 k (*.f64 (*.f64 k t) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))) (*.f64 l l))
(/.f64 (*.f64 k (*.f64 (/.f64 (*.f64 k t) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 k (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k))) (*.f64 l (neg.f64 (*.f64 (cos.f64 k) l))))
(/.f64 (*.f64 k (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (*.f64 l (*.f64 (cos.f64 k) l)))
(/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (/.f64 (*.f64 k k) l)) (cos.f64 k))
(/.f64 (*.f64 k (*.f64 (/.f64 k (cos.f64 k)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l))) l)
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 l l) (cos.f64 k))))
(/.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 l l) (cos.f64 k)))
(/.f64 (neg.f64 (neg.f64 k)) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 k) (neg.f64 l))
(/.f64 k l)
k
l
(*.f64 (/.f64 k (cos.f64 k)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l))
(*.f64 (/.f64 (*.f64 k t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (/.f64 k (cos.f64 k)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (/.f64 k l))
(*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)) (/.f64 (*.f64 k t) l))
(*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(*.f64 (/.f64 k l) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)))
(*.f64 k (*.f64 (/.f64 t (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l)))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (*.f64 (*.f64 k t) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 k t) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k))) (neg.f64 (neg.f64 (*.f64 (cos.f64 k) l))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (*.f64 k t))) (*.f64 (neg.f64 (cos.f64 k)) (neg.f64 l)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k t)) (*.f64 (neg.f64 (cos.f64 k)) l))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (neg.f64 (*.f64 k t))) (*.f64 (cos.f64 k) (neg.f64 l)))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k t)) (*.f64 (cos.f64 k) l))
(/.f64 (*.f64 (neg.f64 (*.f64 k t)) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (neg.f64 l) (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (neg.f64 (*.f64 k t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (neg.f64 l) (cos.f64 k)))
(/.f64 (*.f64 (*.f64 k t) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 l (neg.f64 (cos.f64 k))))
(/.f64 (*.f64 (neg.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (neg.f64 l) (cos.f64 k)))
(/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (cos.f64 k))
(/.f64 (*.f64 (*.f64 k t) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))) l)
(/.f64 (*.f64 (/.f64 (*.f64 k t) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (cos.f64 k))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (neg.f64 (*.f64 (cos.f64 k) l)))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) (*.f64 (cos.f64 k) l))
(*.f64 k (/.f64 t l))
(/.f64 (neg.f64 (neg.f64 (*.f64 k t))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 k t)) (neg.f64 l))
(/.f64 (*.f64 k t) l)
(*.f64 k t)
(*.f64 t k)
t
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (cos.f64 k))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (cos.f64 k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(*.f64 (neg.f64 (sin.f64 k)) (neg.f64 (sin.f64 k)))
(*.f64 (fabs.f64 (sin.f64 k)) (fabs.f64 (sin.f64 k)))
(*.f64 (exp.f64 (log.f64 (sin.f64 k))) (exp.f64 (log.f64 (sin.f64 k))))
(*.f64 (sin.f64 k) (sin.f64 k))
(pow.f64 (exp.f64 (log.f64 (sin.f64 k))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 k k)) (cos.f64 (+.f64 k k))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k))))
(exp.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64))))
(pow.f64 (sin.f64 k) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -1 binary64)))
(sin.f64 k)
(exp.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 k) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 k) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 k) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 k (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 k)))
(cos.f64 (neg.f64 k))
(cos.f64 k)
(+.f64 (*.f64 (sin.f64 k) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 k) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 (/.f64 l t) l) #s(literal -7/60 binary64))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 (/.f64 l t) l) #s(literal -7/60 binary64)))
(*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))
(*.f64 (*.f64 (/.f64 l t) l) #s(literal -7/60 binary64))
(*.f64 #s(literal -7/60 binary64) (*.f64 (/.f64 l t) l))
(/.f64 (neg.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l))) (neg.f64 t))
(/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)
#s(literal -7/60 binary64)
(*.f64 (/.f64 l t) l)
(*.f64 l (/.f64 l t))
(/.f64 (neg.f64 (neg.f64 (*.f64 l l))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (*.f64 l l)) (neg.f64 t))
(/.f64 (*.f64 l l) t)
(/.f64 (neg.f64 (neg.f64 l)) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 l) (neg.f64 t))
(/.f64 l t)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 (/.f64 l t) l)))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (/.f64 l t) l) #s(literal 2 binary64) (*.f64 (*.f64 k k) (fma.f64 (*.f64 (*.f64 k k) #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 7/120 binary64)) (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/3 binary64))))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 7/120 binary64)) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 151/7560 binary64))) (*.f64 k k) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 7/120 binary64)))) (*.f64 k k) (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ k l) (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k)))) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
#s(approx (* (/ k l) (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k)))) (*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ k l) (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ k l) (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k)))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2/45 binary64) l) (/.f64 t l) (*.f64 (-.f64 (*.f64 #s(literal -1/315 binary64) (/.f64 t (*.f64 l l))) (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/720 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)))))) (*.f64 k k))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx k k)
#s(approx (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k))) (/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l))
#s(approx (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k))) (*.f64 (fma.f64 (*.f64 (/.f64 t l) #s(literal 1/6 binary64)) (*.f64 k k) (/.f64 t l)) (pow.f64 k #s(literal 3 binary64))))
#s(approx (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 t l) #s(literal 2/45 binary64)) (fma.f64 (*.f64 (/.f64 t l) #s(literal 1/6 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 t l) #s(literal 1/24 binary64)))) (*.f64 k k) (*.f64 (/.f64 t l) #s(literal -1/3 binary64))) (*.f64 (/.f64 t l) #s(literal -1/2 binary64))) (*.f64 k k) (/.f64 t l)) (pow.f64 k #s(literal 3 binary64))))
#s(approx (* (/ (* k t) l) (/ (pow (sin k) 2) (cos k))) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 t l) #s(literal -1/315 binary64)) (fma.f64 (-.f64 (*.f64 (/.f64 t l) #s(literal 2/45 binary64)) (fma.f64 (*.f64 (/.f64 t l) #s(literal 1/6 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 t l) #s(literal 1/24 binary64)))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 t l) #s(literal 1/6 binary64)) #s(literal 1/24 binary64) (*.f64 (/.f64 t l) #s(literal -1/720 binary64))))) (*.f64 k k) (*.f64 (/.f64 t l) #s(literal 2/45 binary64))) (fma.f64 (*.f64 (/.f64 t l) #s(literal 1/6 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 t l) #s(literal 1/24 binary64)))) (*.f64 k k) (*.f64 (/.f64 t l) #s(literal -1/3 binary64))) (*.f64 (/.f64 t l) #s(literal -1/2 binary64))) (*.f64 k k) (/.f64 t l)) (pow.f64 k #s(literal 3 binary64))))
#s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))
#s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 (fma.f64 #s(literal 31/360 binary64) (*.f64 k k) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64)) (*.f64 k k) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 k k))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) (*.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))
#s(approx (sin k) k)
#s(approx (sin k) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (sin k) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (sin k) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 k k) #s(literal 1/120 binary64)) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) k))
#s(approx (cos k) #s(literal 1 binary64))
#s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (cos k) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 k k) #s(literal 1/24 binary64)) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 (/.f64 l t) l)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) #s(literal -7/60 binary64) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) t) (*.f64 k k) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (pow k 4) (pow.f64 k #s(literal 4 binary64)))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) (*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (/ (pow (sin k) 2) l) (* (* k k) t)) (* l (cos k))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2/45 binary64) l) (/.f64 t l) (*.f64 (-.f64 (*.f64 #s(literal -1/315 binary64) (/.f64 t (*.f64 l l))) (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/720 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal 1/24 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64)))))) (*.f64 k k))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) (/.f64 (*.f64 (pow.f64 k #s(literal 4 binary64)) t) l))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 k k) t) t) l) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal -1/3 binary64) t)) l) (*.f64 k k) (/.f64 t l)) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (pow (sin k) 2) l) (* (* k k) t)) (*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal 2/45 binary64) t)) l) (*.f64 k k) (*.f64 (/.f64 t l) #s(literal -1/3 binary64))) (*.f64 k k) (/.f64 t l)) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (pow (sin k) 2) l) (/.f64 (*.f64 k k) l))
#s(approx (/ (pow (sin k) 2) l) (*.f64 (/.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) l) (*.f64 k k)))
#s(approx (/ (pow (sin k) 2) l) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) l) (*.f64 k k) (pow.f64 l #s(literal -1 binary64))) (*.f64 k k)))
#s(approx (/ (pow (sin k) 2) l) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) l) (*.f64 k k)) (/.f64 #s(literal 1/3 binary64) l)) (*.f64 k k) (pow.f64 l #s(literal -1 binary64))) (*.f64 k k)))
#s(approx (* k k) (*.f64 k k))
#s(approx (* l (cos k)) l)
#s(approx (* l (cos k)) (fma.f64 (*.f64 (*.f64 k k) l) #s(literal -1/2 binary64) l))
#s(approx (* l (cos k)) (fma.f64 (fma.f64 (*.f64 (*.f64 k k) l) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) l)) (*.f64 k k) l))
#s(approx (* l (cos k)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 k k) l) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) l)) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) l)) (*.f64 k k) l))
#s(approx (/ 2 (pow k 4)) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (pow (sin k) 2) (cos k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
#s(approx (pow (sin k) 2) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
#s(approx (sin k) (sin.f64 k))
#s(approx (cos k) (cos.f64 k))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 (/.f64 l t) l) #s(literal -7/60 binary64)))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal -1/3 binary64) (*.f64 k t)) (*.f64 (*.f64 (/.f64 l t) l) #s(literal -7/60 binary64))))
#s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal -1/3 binary64) (*.f64 k t)) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l l) (*.f64 #s(literal -7/60 binary64) (*.f64 l l))) t)))

eval61.0ms (0.7%)

Memory
4.4MiB live, 98.5MiB allocated; 15ms collecting garbage
Compiler

Compiled 22 954 to 2 146 computations (90.7% saved)

prune84.0ms (0.9%)

Memory
-28.6MiB live, 163.9MiB allocated; 15ms collecting garbage
Pruning

45 alts after pruning (43 fresh and 2 done)

PrunedKeptTotal
New45517472
Fresh62632
Picked415
Done011
Total46545510
Accuracy
99.6%
Counts
510 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.1%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
93.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) (*.f64 k t))) (*.f64 (cos.f64 k) l))))
64.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 l #s(approx (* l (cos k)) l)))))
75.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k (*.f64 k t))) #s(approx (* l (cos k)) l))))
75.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
64.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
73.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
86.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k k)) t) (*.f64 l (cos.f64 k)))))
73.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k k)) t) #s(approx (* l (cos k)) l))))
92.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 k l) k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (cos.f64 k) l))))
77.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) k) (*.f64 (*.f64 (cos.f64 k) l) l))))
75.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (/.f64 (*.f64 (*.f64 k k) t) #s(approx (* l (cos k)) l)))))
73.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 k #s(literal -2 binary64))) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
67.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l l)))))
53.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
60.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
70.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
75.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
76.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64)))))))
82.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (cos.f64 k))))))
72.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64))) (cos.f64 k))))))
74.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))))))
74.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))))))
75.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
82.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cos.f64 k)))))
74.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
91.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
67.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
75.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (cos.f64 k) (*.f64 l l))))))
65.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
58.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
73.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
30.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
51.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
62.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
68.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #s(literal 2 binary64)))
67.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
60.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
59.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) t)))
75.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
67.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
22.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
20.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
22.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
20.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
Compiler

Compiled 6 515 to 2 013 computations (69.1% saved)

regimes148.0ms (1.6%)

Memory
10.9MiB live, 240.1MiB allocated; 27ms collecting garbage
Counts
93 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
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(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 t) #s(literal 3 binary64)) (*.f64 (log.f64 l) #s(literal 2 binary64)))) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
Calls

6 calls:

27.0ms
k
26.0ms
l
25.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
23.0ms
t
21.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
96.4%2(*.f64 l l)
94.6%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
94.6%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
94.6%1t
96.4%2l
96.2%2k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes72.0ms (0.8%)

Memory
18.9MiB live, 122.0MiB allocated; 26ms collecting garbage
Counts
77 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 l #s(approx (* l (cos k)) l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (/.f64 (*.f64 (*.f64 k k) t) #s(approx (* l (cos k)) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k k)) t) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k (*.f64 k t))) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 k k))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 k #s(literal -2 binary64))) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) t)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (cos.f64 k) (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) k) (*.f64 (*.f64 (cos.f64 k) l) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 (cos.f64 k) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (neg.f64 (*.f64 k k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (neg.f64 (*.f64 l l)) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 k l) k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (cos.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k k)) t) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) (*.f64 k t))) (*.f64 (cos.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
Calls

3 calls:

28.0ms
(*.f64 l l)
21.0ms
l
19.0ms
k
Results
AccuracySegmentsBranch
96.2%2k
95.5%2(*.f64 l l)
95.5%2l
Compiler

Compiled 5 to 10 computations (-100% saved)

regimes119.0ms (1.3%)

Memory
-6.7MiB live, 131.5MiB allocated; 7ms collecting garbage
Counts
75 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 l #s(approx (* l (cos k)) l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (/.f64 (*.f64 (*.f64 k k) t) #s(approx (* l (cos k)) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k k)) t) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k (*.f64 k t))) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 k k))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 k #s(literal -2 binary64))) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) t)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (cos.f64 k) (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) k) (*.f64 (*.f64 (cos.f64 k) l) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 (cos.f64 k) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (neg.f64 (*.f64 k k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (neg.f64 (*.f64 l l)) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 k l) k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (cos.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k k)) t) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) (*.f64 k t))) (*.f64 (cos.f64 k) l))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) (*.f64 k t))) (*.f64 (cos.f64 k) l))))
Calls

6 calls:

24.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
20.0ms
k
19.0ms
t
19.0ms
l
18.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
93.7%1(*.f64 l l)
93.7%1l
93.7%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
93.7%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
93.7%1t
95.4%2k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes114.0ms (1.2%)

Memory
19.8MiB live, 203.4MiB allocated; 14ms collecting garbage
Counts
74 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 l #s(approx (* l (cos k)) l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (/.f64 (*.f64 (*.f64 k k) t) #s(approx (* l (cos k)) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k k)) t) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k (*.f64 k t))) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 k k))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 k #s(literal -2 binary64))) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(approx (* (/ (* (* k k) t) (cos k)) (/ (pow (sin k) 2) (* l l))) (*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) l) (/.f64 t l) (*.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (fma.f64 #s(literal 1/24 binary64) (/.f64 t (*.f64 l l)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))))) (*.f64 k k))) (*.f64 #s(literal -1/2 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) t)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (cos.f64 k) (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) k) (*.f64 (*.f64 (cos.f64 k) l) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 (cos.f64 k) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (neg.f64 (*.f64 k k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (neg.f64 (*.f64 l l)) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 k l) k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (cos.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k k)) t) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (cos.f64 k))))))
Calls

6 calls:

22.0ms
k
20.0ms
l
19.0ms
(*.f64 l l)
19.0ms
t
15.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
92.5%1(*.f64 l l)
92.5%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
92.5%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
92.5%1l
92.5%1t
94.5%2k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes30.0ms (0.3%)

Memory
-13.8MiB live, 33.9MiB allocated; 15ms collecting garbage
Counts
58 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 l #s(approx (* l (cos k)) l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (/.f64 (*.f64 (*.f64 k k) t) #s(approx (* l (cos k)) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k k)) t) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k (*.f64 k t))) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 k k))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 k #s(literal -2 binary64))) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cos.f64 k)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cos.f64 k)))))
Calls

1 calls:

26.0ms
k
Results
AccuracySegmentsBranch
94.4%2k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes170.0ms (1.8%)

Memory
67.8MiB live, 166.6MiB allocated; 52ms collecting garbage
Counts
57 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 l #s(approx (* l (cos k)) l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (/.f64 (*.f64 (*.f64 k k) t) #s(approx (* l (cos k)) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k k)) t) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k (*.f64 k t))) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 k k))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 k #s(literal -2 binary64))) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
Calls

6 calls:

75.0ms
k
34.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
19.0ms
l
15.0ms
t
13.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
83.5%2(*.f64 l l)
81.6%2t
83.5%2l
76.7%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
79.8%2(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
87.4%2k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes47.0ms (0.5%)

Memory
-29.9MiB live, 27.8MiB allocated; 38ms collecting garbage
Counts
52 → 3
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 l #s(approx (* l (cos k)) l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (/.f64 (*.f64 (*.f64 k k) t) #s(approx (* l (cos k)) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k k)) t) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k (*.f64 k t))) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 k k))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
Calls

1 calls:

13.0ms
k
Results
AccuracySegmentsBranch
85.9%3k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes21.0ms (0.2%)

Memory
-20.2MiB live, 26.1MiB allocated; 6ms collecting garbage
Counts
51 → 3
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 l #s(approx (* l (cos k)) l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (/.f64 (*.f64 (*.f64 k k) t) #s(approx (* l (cos k)) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k k)) t) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k (*.f64 k t))) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 k k))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l l)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
Calls

1 calls:

18.0ms
k
Results
AccuracySegmentsBranch
85.9%3k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes72.0ms (0.8%)

Memory
12.2MiB live, 102.9MiB allocated; 11ms collecting garbage
Counts
50 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 l #s(approx (* l (cos k)) l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (/.f64 (*.f64 (*.f64 k k) t) #s(approx (* l (cos k)) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k k)) t) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k (*.f64 k t))) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 k k))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64)))))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64)))))))
Calls

5 calls:

16.0ms
(*.f64 l l)
15.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
13.0ms
t
13.0ms
l
13.0ms
k
Results
AccuracySegmentsBranch
76.7%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
76.7%1t
76.7%1(*.f64 l l)
76.7%1l
76.7%1k
Compiler

Compiled 31 to 32 computations (-3.2% saved)

regimes108.0ms (1.2%)

Memory
4.3MiB live, 113.4MiB allocated; 44ms collecting garbage
Counts
49 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 l #s(approx (* l (cos k)) l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (/.f64 (*.f64 (*.f64 k k) t) #s(approx (* l (cos k)) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k k)) t) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k (*.f64 k t))) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 k k))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
Calls

6 calls:

45.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
14.0ms
k
13.0ms
l
12.0ms
t
11.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
77.9%2t
75.8%1k
75.8%1(*.f64 l l)
75.8%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
75.8%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
75.8%1l
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes16.0ms (0.2%)

Memory
-20.9MiB live, 25.4MiB allocated; 2ms collecting garbage
Counts
48 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 l #s(approx (* l (cos k)) l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (/.f64 (*.f64 (*.f64 k k) t) #s(approx (* l (cos k)) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k k)) t) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k (*.f64 k t))) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 k k))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k (*.f64 k t))) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
Calls

1 calls:

13.0ms
t
Results
AccuracySegmentsBranch
77.3%2t
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes68.0ms (0.7%)

Memory
7.4MiB live, 102.8MiB allocated; 6ms collecting garbage
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 #s(approx (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 k k))) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 k k) t)) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 l l) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 l #s(approx (* l (cos k)) l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 l l))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (/.f64 (*.f64 (*.f64 k k) t) #s(approx (* l (cos k)) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k k)) t) #s(approx (* l (cos k)) l))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
Calls

6 calls:

13.0ms
k
11.0ms
t
11.0ms
l
11.0ms
(*.f64 l l)
9.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
75.6%1k
75.6%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
75.6%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
75.6%1(*.f64 l l)
75.6%1l
75.6%1t
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes43.0ms (0.5%)

Memory
22.0MiB live, 68.7MiB allocated; 1ms collecting garbage
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (- 1/2 (* 1/2 (cos (* 2 k)))) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l)))))
Calls

6 calls:

7.0ms
k
7.0ms
l
7.0ms
t
7.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
6.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
74.7%1t
74.7%1(*.f64 l l)
74.7%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
74.7%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
76.3%2l
74.7%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes20.0ms (0.2%)

Memory
-15.0MiB live, 31.6MiB allocated; 2ms collecting garbage
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) l) (*.f64 (*.f64 k k) t)) #s(approx (* l (cos k)) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) #s(approx (cos k) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64)))) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (*.f64 l (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) l) t) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l l) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))))))
Calls

3 calls:

7.0ms
l
6.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
5.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
74.7%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
74.7%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
74.7%1l
Compiler

Compiled 49 to 40 computations (18.4% saved)

regimes21.0ms (0.2%)

Memory
-12.4MiB live, 34.3MiB allocated; 2ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
Calls

6 calls:

4.0ms
(*.f64 l l)
3.0ms
k
3.0ms
t
3.0ms
l
3.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
74.1%1(*.f64 l l)
74.1%1t
74.1%1k
74.1%1l
74.1%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
74.1%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes18.0ms (0.2%)

Memory
31.9MiB live, 31.9MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
Calls

6 calls:

3.0ms
t
3.0ms
k
3.0ms
l
3.0ms
(*.f64 l l)
2.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
73.1%1t
73.1%1(*.f64 l l)
73.1%1l
73.1%1k
73.1%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
73.1%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes19.0ms (0.2%)

Memory
-18.3MiB live, 30.3MiB allocated; 3ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
Calls

6 calls:

4.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
3.0ms
k
3.0ms
t
3.0ms
l
2.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
67.4%1t
67.4%1(*.f64 l l)
67.4%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
67.4%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
67.4%1l
69.9%2k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes6.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 (*.f64 l l) t)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
Calls

2 calls:

3.0ms
k
2.0ms
l
Results
AccuracySegmentsBranch
67.4%1l
67.4%1k
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes11.0ms (0.1%)

Memory
19.4MiB live, 19.4MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
Calls

6 calls:

2.0ms
k
2.0ms
l
2.0ms
t
2.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
2.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
22.0%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
22.0%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
22.0%1t
22.0%1(*.f64 l l)
22.0%1k
22.0%1l
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes8.0ms (0.1%)

Memory
-32.9MiB live, 13.8MiB allocated; 1ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
Calls

6 calls:

2.0ms
k
1.0ms
l
1.0ms
t
1.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
1.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
20.9%1(*.f64 l l)
20.9%1l
20.9%1t
20.9%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
20.9%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
20.9%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

bsearch16.0ms (0.2%)

Memory
18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
1.3674974471505197e+128
1.6395056943215262e+128
Samples
4.0ms23×0valid
3.0ms2valid
2.0ms10×1valid
2.0ms3valid
Compiler

Compiled 286 to 211 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
adjust: 2.0ms (21.4% of total)
ival-div: 1.0ms (10.7% of total)
ival-pow2: 1.0ms (10.7% of total)
ival-tan: 1.0ms (10.7% of total)
ival-pow: 1.0ms (10.7% of total)
ival-mult: 1.0ms (10.7% of total)
ival-sin: 1.0ms (10.7% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch46.0ms (0.5%)

Memory
7.8MiB live, 53.8MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
41.0ms
1.9438334681896148e-131
5.945263893950625e-128
Samples
14.0ms35×3valid
13.0ms45×2valid
4.0ms32×0valid
3.0ms16×1valid
Compiler

Compiled 780 to 529 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
adjust: 10.0ms (34.8% of total)
ival-div: 5.0ms (17.4% of total)
ival-mult: 4.0ms (13.9% of total)
ival-pow2: 3.0ms (10.4% of total)
ival-sub: 2.0ms (7% of total)
ival-add: 2.0ms (7% of total)
ival-pow: 2.0ms (7% of total)
ival-tan: 1.0ms (3.5% of total)
ival-sin: 1.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch54.0ms (0.6%)

Memory
-4.3MiB live, 40.9MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
49.0ms
8.298548561241964e-142
2.428757070855591e-138
Samples
25.0ms45×3valid
11.0ms36×2valid
4.0ms18×1valid
3.0ms29×0valid
Compiler

Compiled 780 to 529 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
adjust: 11.0ms (29.9% of total)
ival-add: 10.0ms (27.1% of total)
ival-div: 4.0ms (10.9% of total)
ival-mult: 4.0ms (10.9% of total)
ival-pow2: 3.0ms (8.1% of total)
ival-sub: 2.0ms (5.4% of total)
ival-pow: 2.0ms (5.4% of total)
ival-tan: 1.0ms (2.7% of total)
ival-sin: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch59.0ms (0.6%)

Memory
-8.6MiB live, 40.1MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
55.0ms
2.401942614178963e-5
0.5829624875744732
Samples
26.0ms11×3valid
11.0ms35×2valid
8.0ms65×0valid
4.0ms17×1valid
Compiler

Compiled 836 to 585 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
adjust: 6.0ms (27.3% of total)
ival-div: 4.0ms (18.2% of total)
ival-mult: 3.0ms (13.7% of total)
ival-pow2: 2.0ms (9.1% of total)
ival-pow: 2.0ms (9.1% of total)
ival-sub: 1.0ms (4.6% of total)
ival-tan: 1.0ms (4.6% of total)
ival-add: 1.0ms (4.6% of total)
ival-sin: 1.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
2.401942614178963e-5
0.5829624875744732
Compiler

Compiled 836 to 585 computations (30% saved)

bsearch35.0ms (0.4%)

Memory
1.2MiB live, 45.4MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
32.0ms
2.401942614178963e-5
0.5829624875744732
Samples
8.0ms22×1valid
8.0ms25×2valid
7.0ms57×0valid
3.0ms3valid
Compiler

Compiled 836 to 585 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 6.0ms (28% of total)
adjust: 5.0ms (23.3% of total)
ival-mult: 3.0ms (14% of total)
ival-pow2: 2.0ms (9.3% of total)
ival-sub: 1.0ms (4.7% of total)
ival-tan: 1.0ms (4.7% of total)
ival-add: 1.0ms (4.7% of total)
ival-pow: 1.0ms (4.7% of total)
ival-sin: 1.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch49.0ms (0.5%)

Memory
12.3MiB live, 57.9MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
43.0ms
9.206854098182372e+140
1.552439401500076e+153
2.0ms
2.401942614178963e-5
0.5829624875744732
Samples
21.0ms121×0valid
7.0ms19×2valid
5.0ms20×1valid
Compiler

Compiled 1 756 to 1 255 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-sin: 6.0ms (21.5% of total)
ival-tan: 5.0ms (17.9% of total)
ival-div: 4.0ms (14.3% of total)
ival-mult: 4.0ms (14.3% of total)
adjust: 3.0ms (10.8% of total)
ival-pow2: 2.0ms (7.2% of total)
ival-pow: 2.0ms (7.2% of total)
ival-sub: 1.0ms (3.6% of total)
ival-add: 1.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
9.206854098182372e+140
1.552439401500076e+153
2.0ms
2.401942614178963e-5
0.5829624875744732
Compiler

Compiled 1 756 to 1 255 computations (28.5% saved)

bsearch43.0ms (0.5%)

Memory
0.1MiB live, 45.5MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
39.0ms
6.236302681054269e-40
1.1153369115108064e-32
Samples
14.0ms83×0valid
12.0ms41×2valid
4.0ms20×1valid
Compiler

Compiled 892 to 610 computations (31.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
adjust: 5.0ms (19.6% of total)
ival-div: 4.0ms (15.7% of total)
ival-mult: 4.0ms (15.7% of total)
ival-tan: 3.0ms (11.8% of total)
ival-sin: 3.0ms (11.8% of total)
ival-pow2: 2.0ms (7.9% of total)
ival-pow: 2.0ms (7.9% of total)
ival-sub: 1.0ms (3.9% of total)
ival-add: 1.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch108.0ms (1.1%)

Memory
-44.1MiB live, 20.9MiB allocated; 148ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
106.0ms
6.236302681054269e-40
1.1153369115108064e-32
Samples
94.0ms19×2valid
6.0ms35×0valid
2.0ms10×1valid
Compiler

Compiled 892 to 601 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-sin: 89.0ms (89.4% of total)
adjust: 2.0ms (2% of total)
ival-div: 2.0ms (2% of total)
ival-mult: 2.0ms (2% of total)
ival-pow2: 1.0ms (1% of total)
ival-sub: 1.0ms (1% of total)
ival-tan: 1.0ms (1% of total)
ival-pow: 1.0ms (1% of total)
ival-add: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch41.0ms (0.4%)

Memory
-2.7MiB live, 45.9MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
38.0ms
1.104118529784426e+225
1.939956791546122e+226
Samples
10.0ms26×3valid
10.0ms25×1valid
7.0ms41×0valid
6.0ms20×2valid
Compiler

Compiled 686 to 466 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
adjust: 7.0ms (25.3% of total)
ival-pow: 5.0ms (18.1% of total)
ival-div: 3.0ms (10.8% of total)
ival-mult: 3.0ms (10.8% of total)
ival-pow2: 2.0ms (7.2% of total)
ival-tan: 2.0ms (7.2% of total)
ival-sin: 2.0ms (7.2% of total)
ival-sub: 1.0ms (3.6% of total)
ival-add: 1.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch45.0ms (0.5%)

Memory
37.2MiB live, 37.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
40.0ms
9.299649487420162e-157
1.7212749061520154e-152
Samples
18.0ms49×3valid
9.0ms30×2valid
4.0ms18×1valid
4.0ms31×0valid
Compiler

Compiled 684 to 473 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
adjust: 11.0ms (38.5% of total)
ival-div: 4.0ms (14% of total)
ival-mult: 4.0ms (14% of total)
ival-pow2: 3.0ms (10.5% of total)
ival-sub: 2.0ms (7% of total)
ival-pow: 2.0ms (7% of total)
ival-add: 2.0ms (7% of total)
ival-tan: 1.0ms (3.5% of total)
ival-sin: 1.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify83.0ms (0.9%)

Memory
-35.2MiB live, 55.9MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02081723
13011723
27121643
334571643
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 l #s(literal 161999999999999992939006042392707994779746459526841202322639833925001699055143624363799324638964432884756889948268894027310432256 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))))
(if (<=.f64 k #s(literal 6048387816237235/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l)))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))))
(if (<=.f64 k #s(literal 8924236958169793/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l)))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) (*.f64 k t))) (*.f64 (cos.f64 k) l)))))
(if (<=.f64 k #s(literal 5534023222112865/2305843009213693952 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (cos.f64 k)))))))
(if (<=.f64 k #s(literal 5764607523034235/2305843009213693952 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cos.f64 k))))))
(if (<=.f64 k #s(literal 7839866231326559/1152921504606846976 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l))))))
(if (<=.f64 k #s(literal 7839866231326559/1152921504606846976 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))) (if (<=.f64 k #s(literal 1549999999999999990283238985407120105494740738667118824016442874640101831656682281080842739473585677012442088041070861353848244285692919291963273736355840 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (*.f64 l l))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))))
(if (<=.f64 k #s(literal 7839866231326559/1152921504606846976 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))) (if (<=.f64 k #s(literal 1549999999999999990283238985407120105494740738667118824016442874640101831656682281080842739473585677012442088041070861353848244285692919291963273736355840 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l l))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64))))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64)))))))
(if (<=.f64 t #s(literal 804410501186929/187072209578355573530071658587684226515959365500928 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(approx (cos k) #s(literal 1 binary64)))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l)))))))
(if (<=.f64 t #s(literal 1982965421530569/374144419156711147060143317175368453031918731001856 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (*.f64 k (*.f64 k t))) #s(approx (* l (cos k)) l)))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(if (<=.f64 l #s(literal 1700000000000000092065200863084769624201218833164254789294426062868025033664971570281351971840990186809201452297131512524415733641240578593739405832787796249213022746436256058565123540862523099958848147208924671696521721282560 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 #s(approx (/ (* (* k k) t) (cos k)) (*.f64 (*.f64 k k) t)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l))))))
(if (<=.f64 k #s(literal 6340256873700189/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (/.f64 l t) l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) (*.f64 k k))) (/.f64 l t)) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (+ (* (+ (* (* -2 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 #s(literal -7/60 binary64) (*.f64 l (/.f64 l t)))))
Outputs
(if (<=.f64 l #s(literal 161999999999999992939006042392707994779746459526841202322639833925001699055143624363799324638964432884756889948268894027310432256 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))))
(if (<=.f64 k #s(literal 6048387816237235/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l)))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (*.f64 k (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))))
(if (<=.f64 k #s(literal 8924236958169793/6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057152 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) #s(approx (/ (pow (sin k) 2) (* l l)) (*.f64 (/.f64 k l) (/.f64 k l)))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) (*.f64 k t))) (*.f64 (cos.f64 k) l)))))
(if (<=.f64 k #s(literal 5534023222112865/2305843009213693952 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (cos.f64 k)))))))
(if (<=.f64 k #s(literal 5764607523034235/2305843009213693952 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 k k))))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 k #s(literal 2 binary64))) #s(literal 1/2 binary64))) (cos.f64 k))))))
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derivations733.0ms (7.8%)

Memory
25.6MiB live, 639.1MiB allocated; 88ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 723 to 210 computations (87.8% saved)

preprocess111.0ms (1.2%)

Memory
-1.4MiB live, 188.3MiB allocated; 28ms collecting garbage
Remove

(negabs t)

(abs k)

Compiler

Compiled 4 216 to 770 computations (81.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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