Toniolo and Linder, Equation (10-)

Time bar (total: 8.8s)

start0.0ms (0%)

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

analyze908.0ms (10.4%)

Memory
38.3MiB live, 1 180.2MiB allocated; 210ms 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)

sample3.2s (36.5%)

Memory
8.6MiB live, 3 950.5MiB allocated; 756ms collecting garbage
Samples
885.0ms4 262×0valid
628.0ms1 536×2valid
618.0ms1 365×3valid
442.0ms1 083×1valid
4.0ms10×4valid
Precisions
Click to see histograms. Total time spent on operations: 2.1s
adjust: 434.0ms (20.5% of total)
ival-div: 358.0ms (16.9% of total)
ival-mult: 324.0ms (15.3% of total)
ival-sin: 215.0ms (10.1% of total)
ival-pow: 202.0ms (9.5% of total)
ival-pow2: 188.0ms (8.9% of total)
ival-tan: 179.0ms (8.4% of total)
ival-sub: 110.0ms (5.2% of total)
ival-add: 91.0ms (4.3% of total)
exact: 15.0ms (0.7% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain334.0ms (3.8%)

Memory
32.3MiB live, 461.2MiB allocated; 32ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1000-1(4.960524263109089e+130 4.797590133816167e+43 -3.552025737461974e-25)(*.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)))
520-3(1.181808520078586e-36 2.9989440699275273e-158 -6.431869093832252e+194)(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
510-0-(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
150-0-(*.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))
10-0-(/.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 (*.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*o530
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))underflow95
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))underflow111
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))underflow103
(pow.f64 t #s(literal 3 binary64))underflow89
(*.f64 l l)underflow54
(/.f64 k t)overflow31
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow77
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow77
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow77
-.f64(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))cancellation510
*.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*u280
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow90
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))overflow68
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow75
(pow.f64 t #s(literal 3 binary64))overflow79
(*.f64 l l)overflow62
(/.f64 k t)underflow25
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))underflow68
(pow.f64 (/.f64 k t) #s(literal 2 binary64))underflow68
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/u180
(pow.f64 t #s(literal 3 binary64))underflow89
(*.f64 l l)underflow54
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/o160
(pow.f64 t #s(literal 3 binary64))overflow79
(*.f64 l l)overflow62
*.f64(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))n*o150
*.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*u100
*.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*o80
*.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))n/o60
(*.f64 l l)overflow62
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/n30
(pow.f64 t #s(literal 3 binary64))overflow79
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/u30
(*.f64 l l)underflow54
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/n30
(pow.f64 t #s(literal 3 binary64))underflow89
/.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/o10
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))overflow68
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow75
(*.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)))overflow66
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow77
(/.f64 k t)overflow31
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow90
(pow.f64 t #s(literal 3 binary64))overflow79
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow77
(*.f64 l l)overflow62
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow77
Confusion
Predicted +Predicted -
+1630
-2469
Precision
0.8716577540106952
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+16300
-24069
Precision?
0.8716577540106952
Recall?
1.0
Freqs
test
numberfreq
069
1152
235
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
56.0ms276×0valid
55.0ms82×3valid
37.0ms100×2valid
15.0ms54×1valid
Compiler

Compiled 265 to 61 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
ival-div: 35.0ms (27.5% of total)
adjust: 23.0ms (18% of total)
ival-mult: 18.0ms (14.1% of total)
ival-sin: 11.0ms (8.6% of total)
ival-tan: 10.0ms (7.8% of total)
ival-pow2: 9.0ms (7.1% of total)
ival-pow: 9.0ms (7.1% of total)
ival-sub: 5.0ms (3.9% of total)
ival-add: 5.0ms (3.9% of total)
ival-true: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)

preprocess157.0ms (1.8%)

Memory
-11.1MiB live, 165.7MiB allocated; 25ms 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
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.2%
(/.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))))
Compiler

Compiled 25 to 19 computations (24% saved)

series89.0ms (1%)

Memory
15.9MiB live, 117.5MiB allocated; 44ms 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
40.0ms
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))
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))
8.0ms
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)) (* (* (/ (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
@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
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))

rewrite155.0ms (1.8%)

Memory
2.8MiB live, 190.8MiB allocated; 20ms 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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(/.f64 (neg.f64 (neg.f64 (fma.f64 k k (*.f64 t t)))) (neg.f64 (neg.f64 (*.f64 t t))))
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(/.f64 (fma.f64 (neg.f64 (*.f64 k k)) (*.f64 t t) (*.f64 (neg.f64 (*.f64 t t)) (*.f64 t t))) (*.f64 (neg.f64 (*.f64 t t)) (*.f64 t t)))
(/.f64 (+.f64 (pow.f64 (*.f64 k t) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64))) (pow.f64 t #s(literal 4 binary64)))
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(/.f64 (fma.f64 (*.f64 k k) #s(literal 2 binary64) (*.f64 (*.f64 t t) #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 k k)))) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 t t))))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 #s(literal 2 binary64) (*.f64 t t)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (fma.f64 k k (*.f64 t t))) (neg.f64 (*.f64 t t)))
(/.f64 (fma.f64 k k (*.f64 t t)) (*.f64 t t))
(fma.f64 (neg.f64 (/.f64 k t)) (neg.f64 (/.f64 k t)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 k t)) (fabs.f64 (/.f64 k t)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 (/.f64 k t))) (exp.f64 (log.f64 (/.f64 k t))) #s(literal 1 binary64))
(fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 k t) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 k t) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 k t) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 k t) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))))))
(+.f64 (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)
(*.f64 (neg.f64 (/.f64 k t)) (neg.f64 (/.f64 k t)))
(*.f64 (fabs.f64 (/.f64 k t)) (fabs.f64 (/.f64 k t)))
(*.f64 (exp.f64 (log.f64 (/.f64 k t))) (exp.f64 (log.f64 (/.f64 k t))))
(*.f64 (/.f64 k t) (/.f64 k t))
(pow.f64 (exp.f64 (log.f64 (/.f64 k t))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 k k))) (neg.f64 (neg.f64 (*.f64 t t))))
(/.f64 (*.f64 (neg.f64 k) k) (*.f64 (neg.f64 t) t))
(/.f64 (*.f64 k (neg.f64 k)) (*.f64 t (neg.f64 t)))
(/.f64 (neg.f64 (*.f64 k k)) (neg.f64 (*.f64 t t)))
(/.f64 (*.f64 k k) (*.f64 t t))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal -2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 k) #s(literal 2 binary64)) (*.f64 (log.f64 t) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 k t)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 k t)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 k t)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 k t) #s(literal 1/2 binary64)) (pow.f64 (/.f64 k t) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 k t) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 k)) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 k) (neg.f64 t))
(/.f64 k t)
(exp.f64 (*.f64 (log.f64 (/.f64 k t)) #s(literal 1 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)))))
#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(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (tan.f64 k))))
#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)))
#s(approx t t)
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
#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))
#s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64))
#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))
#s(approx 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)))
#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 (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))))
#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)))
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#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 (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 k k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)))
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#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))
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#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 (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 k 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 (sin k) (sin.f64 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))))

eval21.0ms (0.2%)

Memory
-9.1MiB live, 36.8MiB allocated; 3ms collecting garbage
Compiler

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

prune20.0ms (0.2%)

Memory
-5.2MiB live, 42.0MiB allocated; 1ms collecting garbage
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New18120201
Fresh000
Picked101
Done000
Total18220202
Accuracy
86.9%
Counts
202 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.0%
(/.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)))
41.9%
(/.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)))))
25.8%
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
32.6%
(/.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))))
27.4%
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
33.0%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
46.1%
(/.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))))
44.5%
(/.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))))
47.2%
(/.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))))
38.2%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
37.5%
(/.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))))
61.3%
(/.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)))))
61.3%
(/.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)))))
61.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 k k) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
67.9%
(/.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 k #s(literal 4 binary64)) l) (/.f64 t l))))
76.8%
(/.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 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))))
28.6%
#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))))
48.8%
#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))))
61.6%
#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)))
76.9%
#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 1 484 to 1 038 computations (30.1% saved)

series99.0ms (1.1%)

Memory
27.3MiB live, 123.7MiB allocated; 11ms collecting garbage
Counts
49 → 121
Calls
Call 1
Inputs
#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 (/.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) (*.f64 (*.f64 k k) t))
#s(literal 2 binary64)
(*.f64 (*.f64 k k) t)
(*.f64 k k)
k
t
(/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(*.f64 (cos.f64 k) (*.f64 l l))
(cos.f64 k)
(*.f64 l l)
l
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
#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 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #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 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))
(/.f64 (*.f64 k k) (*.f64 t t))
(*.f64 t 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 (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (/ 2 (* (* k k) t)) #s(hole binary64 (/ 2 (* (pow k 2) t))))
#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)) (- (+ 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 (- (+ 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 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 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 (/ (* k k) (* t t))) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (- (+ 1 (/ (* k k) (* t t))) 1) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (/ (* k k) (* t t))) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (/ (* k k) (* t t))) #s(hole binary64 (/ (+ (pow k 2) (pow t 2)) (pow t 2))))
#s(approx (/ (* k k) (* t t)) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (* t t) #s(hole binary64 (pow t 2)))
#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 (+ 1 (/ (* k k) (* t t))) #s(hole binary64 1))
#s(approx (+ 1 (/ (* k k) (* t t))) #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 (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (* (pow l 2) (cos k)) (pow (sin k) 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (* (pow l 2) (cos k))))
#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 (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))))
#s(approx (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx k #s(hole binary64 k))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (+ (* 1/24 (pow l 2)) (* (pow k 2) (- (* -1/720 (pow l 2)) (+ (* -1/3 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2))))) (+ (* -1/315 (pow l 2)) (* 2/45 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))))) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (pow l 2)))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2))))
#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) #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)) (- (+ 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 (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 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 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 (/ (* k k) (* t t))) 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 (/ (* k k) (* t t))) 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 (/ (* k k) (* t t))) 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 (/ (* k k) (* t t))) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 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 (/ (* k k) (* t t))) 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 (/ (* k k) (* t t))) 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 (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))))))
#s(approx (+ 1 (/ (* k k) (* t t))) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
Calls

9 calls:

TimeVariablePointExpression
15.0ms
t
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) (/ 2 (* (* k k) t)) 2 (* (* k k) t) (* k k) k t (/ (* (cos k) (* l l)) (pow (sin k) 2)) (* (cos k) (* l l)) (cos k) (* l l) l (pow (sin k) 2) (sin k) (/ 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 (/ (* k k) (* t t))) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (- (+ 1 (/ (* k k) (* t t))) 1) (+ 1 (/ (* k k) (* t t))) (/ (* k k) (* t t)) (* t t))
14.0ms
l
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) (/ 2 (* (* k k) t)) 2 (* (* k k) t) (* k k) k t (/ (* (cos k) (* l l)) (pow (sin k) 2)) (* (cos k) (* l l)) (cos k) (* l l) l (pow (sin k) 2) (sin k) (/ 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 (/ (* k k) (* t t))) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (- (+ 1 (/ (* k k) (* t t))) 1) (+ 1 (/ (* k k) (* t t))) (/ (* k k) (* t t)) (* t t))
10.0ms
t
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) (/ 2 (* (* k k) t)) 2 (* (* k k) t) (* k k) k t (/ (* (cos k) (* l l)) (pow (sin k) 2)) (* (cos k) (* l l)) (cos k) (* l l) l (pow (sin k) 2) (sin k) (/ 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 (/ (* k k) (* t t))) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (- (+ 1 (/ (* k k) (* t t))) 1) (+ 1 (/ (* k k) (* t t))) (/ (* k k) (* t t)) (* t t))
10.0ms
t
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) (/ 2 (* (* k k) t)) 2 (* (* k k) t) (* k k) k t (/ (* (cos k) (* l l)) (pow (sin k) 2)) (* (cos k) (* l l)) (cos k) (* l l) l (pow (sin k) 2) (sin k) (/ 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 (/ (* k k) (* t t))) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (- (+ 1 (/ (* k k) (* t t))) 1) (+ 1 (/ (* k k) (* t t))) (/ (* k k) (* t t)) (* t t))
9.0ms
k
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) (/ 2 (* (* k k) t)) 2 (* (* k k) t) (* k k) k t (/ (* (cos k) (* l l)) (pow (sin k) 2)) (* (cos k) (* l l)) (cos k) (* l l) l (pow (sin k) 2) (sin k) (/ 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 (/ (* k k) (* t t))) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (- (+ 1 (/ (* k k) (* t t))) 1) (+ 1 (/ (* k k) (* t t))) (/ (* k k) (* t t)) (* t t))

rewrite187.0ms (2.1%)

Memory
7.0MiB live, 139.9MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05344821
06084543
129754455
083514349
Stop Event
iter limit
node limit
iter limit
Counts
170 → 599
Calls
Call 1
Inputs
#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 (/.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) (*.f64 (*.f64 k k) t))
#s(literal 2 binary64)
(*.f64 (*.f64 k k) t)
(*.f64 k k)
k
t
(/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(*.f64 (cos.f64 k) (*.f64 l l))
(cos.f64 k)
(*.f64 l l)
l
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
#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)
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 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 (/ (* k k) (* t t))) 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 (/ (* k k) (* t t))) 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 (/ (* k k) (* t t))) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 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 (/ (* k k) (* t t))) 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 (/ (* k k) (* t t))) 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 (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))))))
#s(approx (+ 1 (/ (* k k) (* t t))) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k t))))
(*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k t)))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) t) (pow.f64 k #s(literal -2 binary64))) (sin.f64 k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (sin.f64 k)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) t))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k k)))
(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) t) (pow.f64 k #s(literal -2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) t) (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (cos.f64 k) l) l (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 k k) t)))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) t) (pow.f64 k #s(literal -2 binary64))) (*.f64 (*.f64 (cos.f64 k) l) l))) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 k) l) l))) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (/.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) t))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 k k) t))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (/.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal -2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 k k) t))))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 t (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(/.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)))) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)))) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k k) t))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) t) (pow.f64 k #s(literal -2 binary64))) (*.f64 (*.f64 (cos.f64 k) l) l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 l (*.f64 k k)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 k k)) (/.f64 l (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 k) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 l l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 k) (*.f64 k k)) (/.f64 (*.f64 l l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 l l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 (cos.f64 k) (*.f64 k k)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 l k) (/.f64 l k)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 l k) (/.f64 l (*.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 l k) (/.f64 l k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(fma.f64 (*.f64 l l) (/.f64 (cos.f64 k) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 #s(literal 1 binary64) (*.f64 k t)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (pow.f64 t #s(literal -1 binary64)))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 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 (/ (* k k) (* t t))) 1))) (/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (*.f64 k k) #s(literal -2 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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 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 (/ (* k k) (* t t))) 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 (/ (* k k) (* t t))) 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 (/ (* k k) (* t t))) 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 (/ (* k k) (* t t))) 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 (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 (*.f64 l l) k) (/.f64 #s(literal -1/3 binary64) (*.f64 k 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 (*.f64 l l) k) (/.f64 #s(literal -1/3 binary64) (*.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 (*.f64 l l) k) (/.f64 #s(literal -1/3 binary64) (*.f64 k 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 (*.f64 l l) k) (/.f64 #s(literal -1/3 binary64) (*.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 (*.f64 l l) k) (/.f64 #s(literal -1/3 binary64) (*.f64 k 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 (/ (* k k) (* t t))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 k k))))
#s(approx (+ 1 (/ (* k k) (* t t))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 k k))))

eval96.0ms (1.1%)

Memory
13.7MiB live, 154.6MiB allocated; 20ms collecting garbage
Compiler

Compiled 44 666 to 3 746 computations (91.6% saved)

prune64.0ms (0.7%)

Memory
-27.3MiB live, 119.6MiB allocated; 26ms collecting garbage
Pruning

35 alts after pruning (35 fresh and 0 done)

PrunedKeptTotal
New89333926
Fresh13215
Picked505
Done000
Total91135946
Accuracy
97.1%
Counts
946 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.7%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l) (*.f64 (sin.f64 k) (tan.f64 k))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
21.7%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
25.8%
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
27.4%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
30.8%
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
24.6%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
67.9%
(/.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 k #s(literal 4 binary64)) l) (/.f64 t l))))
87.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (*.f64 (cos.f64 k) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))))
86.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (fma.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 l (*.f64 k k)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
86.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (fma.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 k k)) (/.f64 l (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
87.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (fma.f64 (*.f64 (/.f64 l k) (/.f64 l (*.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
28.6%
#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))) (*.f64 (*.f64 k k) (*.f64 k k))))
28.6%
#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 l (/.f64 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))))
29.6%
#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))))
48.8%
#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))))
77.1%
#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)) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
89.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
76.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))))
63.4%
#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)))
62.9%
#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))))
66.8%
#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 l (/.f64 l t))))
89.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))))
61.6%
#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)))
69.6%
#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)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
65.4%
#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 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
32.6%
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
35.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
70.0%
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
80.7%
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
61.3%
#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)))
76.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k k))))
79.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k t))))
87.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64)))
68.2%
#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)))
20.8%
#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)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
Compiler

Compiled 3 296 to 2 136 computations (35.2% saved)

series89.0ms (1%)

Memory
10.4MiB live, 151.5MiB allocated; 10ms collecting garbage
Counts
47 → 128
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64))
(*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))
(/.f64 (*.f64 (cos.f64 k) l) k)
(*.f64 (cos.f64 k) l)
(cos.f64 k)
k
l
(/.f64 l k)
#s(literal 4 binary64)
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
#s(literal 2 binary64)
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 (* 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)
#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))
(/.f64 l t)
(/.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 (*.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 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k))
(/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l))
(*.f64 (*.f64 t t) t)
(*.f64 t t)
(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)
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t)))
(*.f64 k (*.f64 k t))
(*.f64 k t)
(/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(*.f64 (cos.f64 k) (*.f64 l 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 (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* 2 (* t (pow (sin k) 2)))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* t (pow (sin k) 2))))
#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 (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 (/ l t) #s(hole binary64 (/ l t)))
#s(approx (/ 2 (* (* (* (/ (* (* t t) t) (* 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 (* (* (* (/ (* (* t t) t) (* 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 (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))))
#s(approx (* (/ (* (* t t) t) (* l l)) (sin k)) #s(hole binary64 (/ (* (pow t 3) (sin k)) (pow l 2))))
#s(approx (/ (* (* t t) t) (* l l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (* (* t t) t) #s(hole binary64 (pow t 3)))
#s(approx (* t t) #s(hole binary64 (pow t 2)))
#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 (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (/ 2 (* k (* k t))) #s(hole binary64 (/ 2 (* (pow k 2) t))))
#s(approx (* k (* k t)) #s(hole binary64 (* (pow k 2) t)))
#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 (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (* 4 (/ (* (pow l 2) (cos k)) (pow k 2)))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (* (pow l 2) (cos k)) (pow k 2))))
#s(approx (/ (* (cos k) l) k) #s(hole binary64 (/ (* l (cos k)) k)))
#s(approx (* (cos k) l) #s(hole binary64 (* l (cos k))))
#s(approx l #s(hole binary64 l))
#s(approx (/ l k) #s(hole binary64 (/ l 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 (/ (* (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 (/ l (pow k 4)) #s(hole binary64 (/ l (pow k 4))))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (* (pow l 2) (cos k)) (pow (sin k) 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (* (pow l 2) (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 (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (* 4 (/ (pow l 2) (pow k 2)))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (/ (+ (* -2 (* (pow k 2) (pow l 2))) (* 4 (pow l 2))) (pow k 2))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (/ (+ (* 4 (pow l 2)) (* (pow k 2) (+ (* -2 (pow l 2)) (* 1/6 (* (pow k 2) (pow l 2)))))) (pow k 2))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (/ (+ (* 4 (pow l 2)) (* (pow k 2) (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* -1/180 (* (pow k 2) (pow l 2))) (* 1/6 (pow l 2))))))) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2)) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2)) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (cos k) l) k) #s(hole binary64 (/ l k)))
#s(approx (/ (* (cos k) l) k) #s(hole binary64 (/ (+ l (* -1/2 (* (pow k 2) l))) k)))
#s(approx (/ (* (cos k) l) k) #s(hole binary64 (/ (+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l))))) k)))
#s(approx (/ (* (cos k) l) k) #s(hole binary64 (/ (+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l)))))) k)))
#s(approx (* (cos k) l) #s(hole binary64 l))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* -1/2 (* (pow k 2) l)))))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))))
#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 k #s(hole binary64 k))
#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* 2 (* (pow k 2) t))))
#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* (pow k 2) (+ (* -2/3 (* (pow k 2) t)) (* 2 t)))))
#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* (pow k 2) (+ (* 2 t) (* (pow k 2) (+ (* -2/3 t) (* 4/45 (* (pow k 2) t))))))))
#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* (pow k 2) (+ (* 2 t) (* (pow k 2) (+ (* -2/3 t) (* (pow k 2) (+ (* -2/315 (* (pow k 2) t)) (* 4/45 t)))))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#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 (* 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 (/ 2 (* (* (* (/ (* (* t t) t) (* 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 (* (* (* (/ (* (* t t) t) (* 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 (* (* (* (/ (* (* t t) t) (* 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 (* (* (* (/ (* (* t t) t) (* 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 (* (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (* (* t t) t) (* 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 (* (* (* (/ (* (* t t) t) (* 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 (* (* (* (/ (* (* t t) t) (* 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 (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (* (/ (* (* t t) t) (* 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 (* (* (/ (* (* t t) t) (* 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 (* (* (/ (* (* t t) t) (* 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 (* (/ (* (* t t) t) (* l l)) (sin k)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* (/ (* (* t t) t) (* 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 (* (/ (* (* t t) t) (* 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 (* (/ (* (* t t) t) (* 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 (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))))
#s(approx (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (+ (* 1/24 (pow l 2)) (* (pow k 2) (- (* -1/720 (pow l 2)) (+ (* -1/3 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2))))) (+ (* -1/315 (pow l 2)) (* 2/45 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))))) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (pow l 2)))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 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 (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
11.0ms
t
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (/ (* (cos k) l) k) (/ l k)) (/ (* (cos k) l) k) (* (cos k) l) (cos k) k l (/ l k) 4 (* (* (pow (sin k) 2) t) 2) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) 2 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)) (* -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))) (* (* (/ l (pow k 4)) (/ l t)) 2) (* (/ l (pow k 4)) (/ l t)) (/ l (pow k 4)) (pow k 4) (/ l t) (/ 2 (* (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (* (/ (* (* t t) t) (* l l)) (sin k)) (/ (* (* t t) t) (* l l)) (* (* t t) t) (* t t) (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))) (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (pow (sin k) 2))) (/ 2 (* k (* k t))) (* k (* k t)) (* k t) (/ (* (cos k) (* l l)) (pow (sin k) 2)) (* (cos k) (* l l)))
11.0ms
l
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (/ (* (cos k) l) k) (/ l k)) (/ (* (cos k) l) k) (* (cos k) l) (cos k) k l (/ l k) 4 (* (* (pow (sin k) 2) t) 2) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) 2 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)) (* -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))) (* (* (/ l (pow k 4)) (/ l t)) 2) (* (/ l (pow k 4)) (/ l t)) (/ l (pow k 4)) (pow k 4) (/ l t) (/ 2 (* (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (* (/ (* (* t t) t) (* l l)) (sin k)) (/ (* (* t t) t) (* l l)) (* (* t t) t) (* t t) (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))) (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (pow (sin k) 2))) (/ 2 (* k (* k t))) (* k (* k t)) (* k t) (/ (* (cos k) (* l l)) (pow (sin k) 2)) (* (cos k) (* l l)))
11.0ms
k
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (/ (* (cos k) l) k) (/ l k)) (/ (* (cos k) l) k) (* (cos k) l) (cos k) k l (/ l k) 4 (* (* (pow (sin k) 2) t) 2) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) 2 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)) (* -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))) (* (* (/ l (pow k 4)) (/ l t)) 2) (* (/ l (pow k 4)) (/ l t)) (/ l (pow k 4)) (pow k 4) (/ l t) (/ 2 (* (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (* (/ (* (* t t) t) (* l l)) (sin k)) (/ (* (* t t) t) (* l l)) (* (* t t) t) (* t t) (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))) (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (pow (sin k) 2))) (/ 2 (* k (* k t))) (* k (* k t)) (* k t) (/ (* (cos k) (* l l)) (pow (sin k) 2)) (* (cos k) (* l l)))
10.0ms
t
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (/ (* (cos k) l) k) (/ l k)) (/ (* (cos k) l) k) (* (cos k) l) (cos k) k l (/ l k) 4 (* (* (pow (sin k) 2) t) 2) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) 2 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)) (* -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))) (* (* (/ l (pow k 4)) (/ l t)) 2) (* (/ l (pow k 4)) (/ l t)) (/ l (pow k 4)) (pow k 4) (/ l t) (/ 2 (* (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (* (/ (* (* t t) t) (* l l)) (sin k)) (/ (* (* t t) t) (* l l)) (* (* t t) t) (* t t) (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))) (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (pow (sin k) 2))) (/ 2 (* k (* k t))) (* k (* k t)) (* k t) (/ (* (cos k) (* l l)) (pow (sin k) 2)) (* (cos k) (* l l)))
10.0ms
l
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (/ (* (cos k) l) k) (/ l k)) (/ (* (cos k) l) k) (* (cos k) l) (cos k) k l (/ l k) 4 (* (* (pow (sin k) 2) t) 2) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) 2 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)) (* -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))) (* (* (/ l (pow k 4)) (/ l t)) 2) (* (/ l (pow k 4)) (/ l t)) (/ l (pow k 4)) (pow k 4) (/ l t) (/ 2 (* (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (* (/ (* (* t t) t) (* l l)) (sin k)) (/ (* (* t t) t) (* l l)) (* (* t t) t) (* t t) (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))) (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (pow (sin k) 2))) (/ 2 (* k (* k t))) (* k (* k t)) (* k t) (/ (* (cos k) (* l l)) (pow (sin k) 2)) (* (cos k) (* l l)))

rewrite178.0ms (2%)

Memory
-17.2MiB live, 214.8MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06244876
06854544
135534524
085754367
Stop Event
iter limit
node limit
iter limit
Counts
175 → 498
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64))
(*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))
(/.f64 (*.f64 (cos.f64 k) l) k)
(*.f64 (cos.f64 k) l)
(cos.f64 k)
k
l
(/.f64 l k)
#s(literal 4 binary64)
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
#s(literal 2 binary64)
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 (* 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)
#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))
(/.f64 l t)
(/.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 (*.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 (*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(*.f64 (/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l)) (sin.f64 k))
(/.f64 (*.f64 (*.f64 t t) t) (*.f64 l l))
(*.f64 (*.f64 t t) t)
(*.f64 t t)
(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)
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t)))
(*.f64 k (*.f64 k t))
(*.f64 k t)
(/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(*.f64 (cos.f64 k) (*.f64 l 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) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* 2 (* t (pow (sin k) 2)))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* t (pow (sin k) 2))))
#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 (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 (/ l t) #s(hole binary64 (/ l t)))
#s(approx (/ 2 (* (* (* (/ (* (* t t) t) (* 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 (* (* (* (/ (* (* t t) t) (* 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 (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))))
#s(approx (* (/ (* (* t t) t) (* l l)) (sin k)) #s(hole binary64 (/ (* (pow t 3) (sin k)) (pow l 2))))
#s(approx (/ (* (* t t) t) (* l l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (* (* t t) t) #s(hole binary64 (pow t 3)))
#s(approx (* t t) #s(hole binary64 (pow t 2)))
#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 (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (/ 2 (* k (* k t))) #s(hole binary64 (/ 2 (* (pow k 2) t))))
#s(approx (* k (* k t)) #s(hole binary64 (* (pow k 2) t)))
#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 (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (* 4 (/ (* (pow l 2) (cos k)) (pow k 2)))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (* (pow l 2) (cos k)) (pow k 2))))
#s(approx (/ (* (cos k) l) k) #s(hole binary64 (/ (* l (cos k)) k)))
#s(approx (* (cos k) l) #s(hole binary64 (* l (cos k))))
#s(approx l #s(hole binary64 l))
#s(approx (/ l k) #s(hole binary64 (/ l 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 (/ (* (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 (/ l (pow k 4)) #s(hole binary64 (/ l (pow k 4))))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (* (pow l 2) (cos k)) (pow (sin k) 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (* (pow l 2) (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 (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (* 4 (/ (pow l 2) (pow k 2)))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (/ (+ (* -2 (* (pow k 2) (pow l 2))) (* 4 (pow l 2))) (pow k 2))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (/ (+ (* 4 (pow l 2)) (* (pow k 2) (+ (* -2 (pow l 2)) (* 1/6 (* (pow k 2) (pow l 2)))))) (pow k 2))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (/ (+ (* 4 (pow l 2)) (* (pow k 2) (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* -1/180 (* (pow k 2) (pow l 2))) (* 1/6 (pow l 2))))))) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2)) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2)) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (cos k) l) k) #s(hole binary64 (/ l k)))
#s(approx (/ (* (cos k) l) k) #s(hole binary64 (/ (+ l (* -1/2 (* (pow k 2) l))) k)))
#s(approx (/ (* (cos k) l) k) #s(hole binary64 (/ (+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l))))) k)))
#s(approx (/ (* (cos k) l) k) #s(hole binary64 (/ (+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l)))))) k)))
#s(approx (* (cos k) l) #s(hole binary64 l))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* -1/2 (* (pow k 2) l)))))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))))
#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 k #s(hole binary64 k))
#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* 2 (* (pow k 2) t))))
#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* (pow k 2) (+ (* -2/3 (* (pow k 2) t)) (* 2 t)))))
#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* (pow k 2) (+ (* 2 t) (* (pow k 2) (+ (* -2/3 t) (* 4/45 (* (pow k 2) t))))))))
#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* (pow k 2) (+ (* 2 t) (* (pow k 2) (+ (* -2/3 t) (* (pow k 2) (+ (* -2/315 (* (pow k 2) t)) (* 4/45 t)))))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#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 (* 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 (/ 2 (* (* (* (/ (* (* t t) t) (* 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 (* (* (* (/ (* (* t t) t) (* 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 (* (* (* (/ (* (* t t) t) (* 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 (* (* (* (/ (* (* t t) t) (* 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 (* (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (* (* t t) t) (* 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 (* (* (* (/ (* (* t t) t) (* 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 (* (* (* (/ (* (* t t) t) (* 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 (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (* (/ (* (* t t) t) (* 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 (* (* (/ (* (* t t) t) (* 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 (* (* (/ (* (* t t) t) (* 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 (* (/ (* (* t t) t) (* l l)) (sin k)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* (/ (* (* t t) t) (* 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 (* (/ (* (* t t) t) (* 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 (* (/ (* (* t t) t) (* 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 (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))))
#s(approx (* (/ 2 (* k (* k t))) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (+ (* 1/24 (pow l 2)) (* (pow k 2) (- (* -1/720 (pow l 2)) (+ (* -1/3 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2))))) (+ (* -1/315 (pow l 2)) (* 2/45 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))))) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (pow l 2)))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2))))
#s(approx (* (cos k) (* l l)) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 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 (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
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 k t))))
(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 k t)))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 k t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 l k) (/.f64 (*.f64 (cos.f64 k) l) k)) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(*.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))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))))
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (*.f64 (/.f64 l k) #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 k t) k)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 k) l) l))) (neg.f64 (*.f64 (*.f64 (*.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 k t)) (*.f64 (*.f64 (cos.f64 k) l) l))) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (*.f64 (/.f64 l k) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (/.f64 #s(literal 2 binary64) k)) (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k t)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (/.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) t))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 k t) k))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 k t) k)))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (/.f64 #s(literal 2 binary64) k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k t)))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (/.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal -2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 k t) k))))
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#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) (/.f64 (fma.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 l l) #s(literal 4 binary64))) (*.f64 k k)))
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#s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k)))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 l l)) (*.f64 k k)))
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#s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (* (cos k) l) k) (/.f64 l k))
#s(approx (/ (* (cos k) l) k) (/.f64 (fma.f64 (*.f64 (*.f64 k k) l) #s(literal -1/2 binary64) l) k))
#s(approx (/ (* (cos k) l) k) (/.f64 (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) k))
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#s(approx (* (cos k) l) l)
#s(approx (* (cos k) l) (fma.f64 (*.f64 (*.f64 k k) l) #s(literal -1/2 binary64) l))
#s(approx (* (cos k) l) (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 (* (cos k) l) (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 (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 k k)
#s(approx (* (* (pow (sin k) 2) t) 2) (*.f64 (*.f64 (*.f64 k t) k) #s(literal 2 binary64)))
#s(approx (* (* (pow (sin k) 2) t) 2) (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 k t) k) (*.f64 t #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (* (* (pow (sin k) 2) t) 2) (*.f64 (fma.f64 (fma.f64 #s(literal 4/45 binary64) (*.f64 (*.f64 k t) k) (*.f64 #s(literal -2/3 binary64) t)) (*.f64 k k) (*.f64 t #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (* (* (pow (sin k) 2) t) 2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/315 binary64) (*.f64 (*.f64 k t) k) (*.f64 #s(literal 4/45 binary64) t)) (*.f64 k k) (*.f64 #s(literal -2/3 binary64) t)) (*.f64 k k) (*.f64 t #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 k t) k))
#s(approx (* (pow (sin k) 2) t) (*.f64 (fma.f64 (*.f64 (*.f64 k t) k) #s(literal -1/3 binary64) t) (*.f64 k k)))
#s(approx (* (pow (sin k) 2) t) (*.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 k t) k) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 k k) t) (*.f64 k k)))
#s(approx (* (pow (sin k) 2) t) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 (*.f64 k t) k) (*.f64 #s(literal 2/45 binary64) t)) (*.f64 k k) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 k k) t) (*.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 (* k k)) (* (/ (* l l) t) 7/120)) (* (/ (* l l) t) -1/3)) (* k k)) (* (/ (* l l) t) 2)) (pow k 4)) (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (*.f64 (/.f64 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)) (pow k 4)) (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) t) #s(literal -1/3 binary64) (*.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)) (pow k 4)) (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) t) #s(literal -7/60 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))))
#s(approx (pow k 4) (pow.f64 k #s(literal 4 binary64)))
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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 (/.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) t) #s(literal -1/3 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 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 (/.f64 (*.f64 l l) t) #s(literal 2 binary64) (*.f64 (*.f64 k k) (fma.f64 (*.f64 (*.f64 k k) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #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 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 (* (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (pow.f64 k #s(literal 4 binary64)) (/.f64 t (*.f64 l l))))
#s(approx (* (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 t (*.f64 l l))) #s(literal 1/6 binary64) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (fma.f64 (fma.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k t) k)) (*.f64 l l))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
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#s(approx (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (*.f64 (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)))
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#s(approx (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.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 (* (* (/ (* (* t t) t) (* l l)) (sin k)) (tan k)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) #s(literal 173/5040 binary64) (/.f64 (*.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) (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)))
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#s(approx (* (/ (* (* t t) t) (* l l)) (sin k)) (*.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) #s(literal -1/6 binary64) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) k))
#s(approx (* (/ (* (* t t) t) (* l l)) (sin k)) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) #s(literal 1/120 binary64) (/.f64 (*.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 (* (/ (* (* t t) t) (* l l)) (sin k)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) #s(literal -1/5040 binary64) (/.f64 (*.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) (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 (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) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (*.f64 (/.f64 l t) #s(literal 2 binary64))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) (*.f64 k k) (/.f64 (*.f64 l l) t))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t) (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64)))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t) (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64)))) #s(literal -1/3 binary64) (fma.f64 #s(literal -1/315 binary64) (/.f64 (*.f64 l l) t) (*.f64 #s(literal 2/45 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)))))) (*.f64 k k) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t) (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64)))))) (*.f64 k k) (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 l l)) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) #s(literal -1/3 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (*.f64 l l))))) (*.f64 k k) (*.f64 #s(literal 1/24 binary64) (*.f64 l l))) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (* (cos k) (* l l)) (*.f64 l l))
#s(approx (* (cos k) (* l l)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 l l)))
#s(approx (* (cos k) (* l l)) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 l l)))
#s(approx (* (cos k) (* l l)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 l l)))
#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 (/.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 t) k)) #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 t) k)) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 l t) (/.f64 l (pow.f64 k #s(literal 4 binary64)))) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)))))
#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))))

eval63.0ms (0.7%)

Memory
18.4MiB live, 109.9MiB allocated; 7ms collecting garbage
Compiler

Compiled 27 498 to 2 536 computations (90.8% saved)

prune96.0ms (1.1%)

Memory
10.3MiB live, 187.3MiB allocated; 29ms collecting garbage
Pruning

48 alts after pruning (45 fresh and 3 done)

PrunedKeptTotal
New54819567
Fresh42630
Picked235
Done000
Total55448602
Accuracy
98.3%
Counts
602 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.7%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l) (*.f64 (sin.f64 k) (tan.f64 k))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
21.7%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
25.8%
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
30.8%
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
87.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (*.f64 (cos.f64 k) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))))
86.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (fma.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 l (*.f64 k k)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
86.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (fma.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 k k)) (/.f64 l (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
87.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (fma.f64 (*.f64 (/.f64 l k) (/.f64 l (*.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
28.6%
#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))) (*.f64 (*.f64 k k) (*.f64 k k))))
28.6%
#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 l (/.f64 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))))
29.6%
#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))))
48.8%
#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))))
77.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 k k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
77.1%
#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)) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
81.4%
#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) k) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
80.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) #s(literal 2 binary64))))
74.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 k t) k)) #s(literal 2 binary64))))
88.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) l) #s(literal 4 binary64)) (*.f64 k (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))))
72.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
89.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) (/.f64 l k)) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
79.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) k))))
76.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))))
63.4%
#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)))
65.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
80.8%
#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 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
62.9%
#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))))
67.9%
#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)))
66.8%
#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 l (/.f64 l t))))
89.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))))
61.6%
#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)))
69.6%
#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)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
65.4%
#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 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
32.6%
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
35.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
70.0%
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
80.7%
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
73.3%
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
65.9%
#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 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
35.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
64.6%
#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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
61.3%
#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)))
87.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64)))
68.2%
#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)))
68.2%
#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)))
67.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (/.f64 l t)) #s(literal 2 binary64)))
20.8%
#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)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
20.8%
#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)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
19.4%
#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 4 579 to 2 965 computations (35.2% saved)

series122.0ms (1.4%)

Memory
-8.6MiB live, 139.3MiB allocated; 48ms collecting garbage
Counts
58 → 154
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) (/.f64 l k)) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) (/.f64 l k)) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (cos.f64 k) (/.f64 l k)) (/.f64 l k)) #s(literal 4 binary64))
(*.f64 (*.f64 (cos.f64 k) (/.f64 l k)) (/.f64 l k))
(*.f64 (cos.f64 k) (/.f64 l k))
(cos.f64 k)
k
(/.f64 l k)
l
#s(literal 4 binary64)
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
#s(literal 2 binary64)
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)))))
#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 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t))
(*.f64 (*.f64 k k) t)
(*.f64 k k)
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
(/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k))
(fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l))
(-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l)))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l))))
(*.f64 #s(literal 1/24 binary64) (*.f64 l l))
#s(literal 1/24 binary64)
(*.f64 l l)
(fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))
(*.f64 (*.f64 l l) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal -1/3 binary64)
(*.f64 #s(literal 2/45 binary64) (*.f64 l l))
#s(literal 2/45 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 l l))
#s(literal -1/2 binary64)
(*.f64 (*.f64 l l) #s(literal -1/3 binary64))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))
(*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k)))
(/.f64 (*.f64 l l) (*.f64 k k))
#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 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(*.f64 (*.f64 (cos.f64 k) l) l)
(*.f64 (cos.f64 k) l)
(*.f64 (*.f64 k t) k)
(*.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 (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* 2 (* t (pow (sin k) 2)))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* t (pow (sin k) 2))))
#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 (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (/ 2 (* (* k k) t)) #s(hole binary64 (/ 2 (* (pow k 2) t))))
#s(approx (* (* k k) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k t) k)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* k t) k) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* k t) #s(hole binary64 (* k 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 (* (* (* (cos k) (/ l k)) (/ l k)) 4) #s(hole binary64 (* 4 (/ (* (pow l 2) (cos k)) (pow k 2)))))
#s(approx (* (* (cos k) (/ l k)) (/ l k)) #s(hole binary64 (/ (* (pow l 2) (cos k)) (pow k 2))))
#s(approx (* (cos k) (/ l k)) #s(hole binary64 (/ (* l (cos k)) k)))
#s(approx (/ l k) #s(hole binary64 (/ l k)))
#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 (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (* (pow l 2) (cos k)) (pow (sin k) 2))))
#s(approx (/ (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (* k k)) #s(hole binary64 (/ (* (pow l 2) (+ 1 (* (pow k 2) (- (* -7/120 (pow k 2)) 1/6)))) (pow k 2))))
#s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) #s(hole binary64 (* (pow l 2) (+ 1 (* (pow k 2) (- (* -7/120 (pow k 2)) 1/6))))))
#s(approx (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) #s(hole binary64 (* (pow l 2) (- (* -7/120 (pow k 2)) 1/6))))
#s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) #s(hole binary64 (* (pow l 2) (- (* -7/120 (pow k 2)) 1/2))))
#s(approx (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) #s(hole binary64 (* -7/120 (pow l 2))))
#s(approx (* 1/24 (* l l)) #s(hole binary64 (* 1/24 (pow l 2))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l))) #s(hole binary64 (* 1/10 (pow l 2))))
#s(approx (* (* l l) -1/6) #s(hole binary64 (* -1/6 (pow l 2))))
#s(approx (* 2/45 (* l l)) #s(hole binary64 (* 2/45 (pow l 2))))
#s(approx (* -1/2 (* l l)) #s(hole binary64 (* -1/2 (pow l 2))))
#s(approx (* (* l l) -1/3) #s(hole binary64 (* -1/3 (pow l 2))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (* 4 (/ (* (pow l 2) (cos k)) (pow k 2)))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (* (pow l 2) (cos k)) (pow k 2))))
#s(approx (/ (* l l) (* k k)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (pow (sin k) 2)))))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) #s(hole binary64 (/ (* (pow l 2) (cos k)) (pow (sin k) 2))))
#s(approx (* (* (cos k) l) l) #s(hole binary64 (* (pow l 2) (cos k))))
#s(approx (* (cos k) l) #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 (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))))
#s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))))
#s(approx (* (* (* (cos k) (/ l k)) (/ l k)) 4) #s(hole binary64 (* 4 (/ (pow l 2) (pow k 2)))))
#s(approx (* (* (* (cos k) (/ l k)) (/ l k)) 4) #s(hole binary64 (/ (+ (* -2 (* (pow k 2) (pow l 2))) (* 4 (pow l 2))) (pow k 2))))
#s(approx (* (* (* (cos k) (/ l k)) (/ l k)) 4) #s(hole binary64 (/ (+ (* 4 (pow l 2)) (* (pow k 2) (+ (* -2 (pow l 2)) (* 1/6 (* (pow k 2) (pow l 2)))))) (pow k 2))))
#s(approx (* (* (* (cos k) (/ l k)) (/ l k)) 4) #s(hole binary64 (/ (+ (* 4 (pow l 2)) (* (pow k 2) (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* -1/180 (* (pow k 2) (pow l 2))) (* 1/6 (pow l 2))))))) (pow k 2))))
#s(approx (* (* (cos k) (/ l k)) (/ l k)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (* (* (cos k) (/ l k)) (/ l k)) #s(hole binary64 (/ (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2)) (pow k 2))))
#s(approx (* (* (cos k) (/ l k)) (/ l k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2)) (pow k 2))))
#s(approx (* (* (cos k) (/ l k)) (/ l k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2)) (pow k 2))))
#s(approx (* (cos k) (/ l k)) #s(hole binary64 (/ l k)))
#s(approx (* (cos k) (/ l k)) #s(hole binary64 (/ (+ l (* -1/2 (* (pow k 2) l))) k)))
#s(approx (* (cos k) (/ l k)) #s(hole binary64 (/ (+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l))))) k)))
#s(approx (* (cos k) (/ l k)) #s(hole binary64 (/ (+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l)))))) 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 k #s(hole binary64 k))
#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* 2 (* (pow k 2) t))))
#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* (pow k 2) (+ (* -2/3 (* (pow k 2) t)) (* 2 t)))))
#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* (pow k 2) (+ (* 2 t) (* (pow k 2) (+ (* -2/3 t) (* 4/45 (* (pow k 2) t))))))))
#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* (pow k 2) (+ (* 2 t) (* (pow k 2) (+ (* -2/3 t) (* (pow k 2) (+ (* -2/315 (* (pow k 2) t)) (* 4/45 t)))))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#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 (* 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) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))))
#s(approx (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (+ (* 1/24 (pow l 2)) (* (pow k 2) (- (* -1/720 (pow l 2)) (+ (* -1/3 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2))))) (+ (* -1/315 (pow l 2)) (* 2/45 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))))) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (* k k)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (* k k)) #s(hole binary64 (/ (+ (* (pow k 2) (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (* k k)) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) #s(hole binary64 (pow l 2)))
#s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) #s(hole binary64 (+ (* (pow k 2) (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (pow l 2))))
#s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) #s(hole binary64 (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2))))
#s(approx (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) #s(hole binary64 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))))
#s(approx (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) #s(hole binary64 (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2)))))) (* -1/3 (pow l 2)))))
#s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) #s(hole binary64 (* -1/2 (pow l 2))))
#s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) #s(hole binary64 (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2))))))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (* 4 (/ (pow l 2) (pow k 2)))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (/ (+ (* -2 (* (pow k 2) (pow l 2))) (* 4 (pow l 2))) (pow k 2))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (/ (+ (* 4 (pow l 2)) (* (pow k 2) (+ (* -2 (pow l 2)) (* 1/6 (* (pow k 2) (pow l 2)))))) (pow k 2))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (/ (+ (* 4 (pow l 2)) (* (pow k 2) (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* -1/180 (* (pow k 2) (pow l 2))) (* 1/6 (pow l 2))))))) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2)) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2)) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2)) (pow k 2))))
#s(approx (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k t) k)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k t) k)) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k t) k)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))))
#s(approx (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k t) k)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) #s(hole binary64 (* 2 (/ (pow l 2) (pow k 2)))))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))) (* 2 (pow l 2))) (pow k 2))))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* 2 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))) (pow k 2))))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* 2 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (pow l 2)) (+ (* -1/3 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2))))) (+ (* -1/315 (pow l 2)) (* 2/45 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))))) (* 2 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))))))) (pow k 2))))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (+ (* 1/24 (pow l 2)) (* (pow k 2) (- (* -1/720 (pow l 2)) (+ (* -1/3 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2))))) (+ (* -1/315 (pow l 2)) (* 2/45 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))))) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (* (* (cos k) l) l) #s(hole binary64 (pow l 2)))
#s(approx (* (* (cos k) l) l) #s(hole binary64 (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2))))
#s(approx (* (* (cos k) l) l) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2))))
#s(approx (* (* (cos k) l) l) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2))))
#s(approx (* (cos k) l) #s(hole binary64 l))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* -1/2 (* (pow k 2) l)))))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))))
#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 (/ (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (* k k)) #s(hole binary64 (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2)))))))
#s(approx (/ (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (* k k)) #s(hole binary64 (* (pow k 2) (- (+ (* -1/2 (/ (pow l 2) (pow k 2))) (* 1/24 (pow l 2))) (+ (* -1/3 (/ (pow l 2) (pow k 2))) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2))))))))
#s(approx (/ (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (* k k)) #s(hole binary64 (* (pow k 2) (- (+ (* -1/2 (/ (pow l 2) (pow k 2))) (+ (* 1/24 (pow l 2)) (/ (pow l 2) (pow k 4)))) (+ (* -1/3 (/ (pow l 2) (pow k 2))) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2))))))))
#s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) #s(hole binary64 (* (pow k 4) (- (* 1/24 (pow l 2)) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2)))))))
#s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) #s(hole binary64 (* (pow k 4) (- (+ (* -1/2 (/ (pow l 2) (pow k 2))) (* 1/24 (pow l 2))) (+ (* -1/3 (/ (pow l 2) (pow k 2))) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2))))))))
#s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) #s(hole binary64 (* (pow k 4) (- (+ (* -1/2 (/ (pow l 2) (pow k 2))) (+ (* 1/24 (pow l 2)) (/ (pow l 2) (pow k 4)))) (+ (* -1/3 (/ (pow l 2) (pow k 2))) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2))))))))
#s(approx (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) #s(hole binary64 (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2)))))))
#s(approx (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) #s(hole binary64 (* (pow k 2) (- (+ (* -1/2 (/ (pow l 2) (pow k 2))) (* 1/24 (pow l 2))) (+ (* -1/3 (/ (pow l 2) (pow k 2))) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2))))))))
#s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) #s(hole binary64 (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2)))))))
#s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) #s(hole binary64 (* (pow k 2) (- (+ (* -1/2 (/ (pow l 2) (pow k 2))) (* 1/24 (pow l 2))) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2)))))))
Calls

9 calls:

TimeVariablePointExpression
35.0ms
t
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (cos k) (/ l k)) (/ l k)) (* (cos k) (/ l k)) (cos k) k (/ l k) l 4 (* (* (pow (sin k) 2) t) 2) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) 2 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)) (* -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))) (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) (/ 2 (* (* k k) t)) (* (* k k) t) (* k k) (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/ (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (* k k)) (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* 1/24 (* l l)) 1/24 (* l l) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l))) (* (* l l) -1/6) -1/6 -1/3 (* 2/45 (* l l)) 2/45 (* -1/2 (* l l)) -1/2 (* (* l l) -1/3) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (/ (* (cos k) l) k) (/ l k)) (/ (* l l) (* k k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k t) k)) (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/ (* (* (cos k) l) l) (pow (sin k) 2)) (* (* (cos k) l) l) (* (cos k) l) (* (* k t) k) (* k t))
23.0ms
l
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (cos k) (/ l k)) (/ l k)) (* (cos k) (/ l k)) (cos k) k (/ l k) l 4 (* (* (pow (sin k) 2) t) 2) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) 2 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)) (* -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))) (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) (/ 2 (* (* k k) t)) (* (* k k) t) (* k k) (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/ (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (* k k)) (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* 1/24 (* l l)) 1/24 (* l l) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l))) (* (* l l) -1/6) -1/6 -1/3 (* 2/45 (* l l)) 2/45 (* -1/2 (* l l)) -1/2 (* (* l l) -1/3) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (/ (* (cos k) l) k) (/ l k)) (/ (* l l) (* k k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k t) k)) (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/ (* (* (cos k) l) l) (pow (sin k) 2)) (* (* (cos k) l) l) (* (cos k) l) (* (* k t) k) (* k t))
13.0ms
l
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (cos k) (/ l k)) (/ l k)) (* (cos k) (/ l k)) (cos k) k (/ l k) l 4 (* (* (pow (sin k) 2) t) 2) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) 2 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)) (* -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))) (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) (/ 2 (* (* k k) t)) (* (* k k) t) (* k k) (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/ (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (* k k)) (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* 1/24 (* l l)) 1/24 (* l l) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l))) (* (* l l) -1/6) -1/6 -1/3 (* 2/45 (* l l)) 2/45 (* -1/2 (* l l)) -1/2 (* (* l l) -1/3) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (/ (* (cos k) l) k) (/ l k)) (/ (* l l) (* k k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k t) k)) (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/ (* (* (cos k) l) l) (pow (sin k) 2)) (* (* (cos k) l) l) (* (cos k) l) (* (* k t) k) (* k t))
10.0ms
l
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (cos k) (/ l k)) (/ l k)) (* (cos k) (/ l k)) (cos k) k (/ l k) l 4 (* (* (pow (sin k) 2) t) 2) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) 2 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)) (* -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))) (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) (/ 2 (* (* k k) t)) (* (* k k) t) (* k k) (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/ (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (* k k)) (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* 1/24 (* l l)) 1/24 (* l l) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l))) (* (* l l) -1/6) -1/6 -1/3 (* 2/45 (* l l)) 2/45 (* -1/2 (* l l)) -1/2 (* (* l l) -1/3) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (/ (* (cos k) l) k) (/ l k)) (/ (* l l) (* k k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k t) k)) (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/ (* (* (cos k) l) l) (pow (sin k) 2)) (* (* (cos k) l) l) (* (cos k) l) (* (* k t) k) (* k t))
8.0ms
k
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (cos k) (/ l k)) (/ l k)) (* (cos k) (/ l k)) (cos k) k (/ l k) l 4 (* (* (pow (sin k) 2) t) 2) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) 2 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)) (* -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))) (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) (/ 2 (* (* k k) t)) (* (* k k) t) (* k k) (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/ (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (* k k)) (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* 1/24 (* l l)) 1/24 (* l l) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l))) (* (* l l) -1/6) -1/6 -1/3 (* 2/45 (* l l)) 2/45 (* -1/2 (* l l)) -1/2 (* (* l l) -1/3) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (/ (* (cos k) l) k) (/ l k)) (/ (* l l) (* k k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k t) k)) (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/ (* (* (cos k) l) l) (pow (sin k) 2)) (* (* (cos k) l) l) (* (cos k) l) (* (* k t) k) (* k t))

rewrite192.0ms (2.2%)

Memory
54.6MiB live, 229.8MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06417317
07306275
135726099
083235882
Stop Event
iter limit
node limit
iter limit
Counts
212 → 566
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) (/.f64 l k)) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) (/.f64 l k)) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (cos.f64 k) (/.f64 l k)) (/.f64 l k)) #s(literal 4 binary64))
(*.f64 (*.f64 (cos.f64 k) (/.f64 l k)) (/.f64 l k))
(*.f64 (cos.f64 k) (/.f64 l k))
(cos.f64 k)
k
(/.f64 l k)
l
#s(literal 4 binary64)
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
#s(literal 2 binary64)
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)))))
#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 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t))
(*.f64 (*.f64 k k) t)
(*.f64 k k)
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
(/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k))
(fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l))
(-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l)))
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l))))
(*.f64 #s(literal 1/24 binary64) (*.f64 l l))
#s(literal 1/24 binary64)
(*.f64 l l)
(fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))
(*.f64 (*.f64 l l) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal -1/3 binary64)
(*.f64 #s(literal 2/45 binary64) (*.f64 l l))
#s(literal 2/45 binary64)
(*.f64 #s(literal -1/2 binary64) (*.f64 l l))
#s(literal -1/2 binary64)
(*.f64 (*.f64 l l) #s(literal -1/3 binary64))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))
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#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 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
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(*.f64 (*.f64 (cos.f64 k) l) l)
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#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)))))))
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#s(approx (* (* (pow (sin k) 2) t) 2) #s(hole binary64 (* 2 (* t (pow (sin k) 2)))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* t (pow (sin k) 2))))
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#s(approx (* l (/ l t)) #s(hole binary64 (/ (pow l 2) t)))
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#s(approx (* (/ 2 (* (* k k) t)) (/ (* (cos k) (* l l)) (pow (sin k) 2))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (/ 2 (* (* k k) t)) #s(hole binary64 (/ 2 (* (pow k 2) t))))
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#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k t) k)) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* k t) k) #s(hole binary64 (* (pow k 2) t)))
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#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 (* (* (* (cos k) (/ l k)) (/ l k)) 4) #s(hole binary64 (* 4 (/ (* (pow l 2) (cos k)) (pow k 2)))))
#s(approx (* (* (cos k) (/ l k)) (/ l k)) #s(hole binary64 (/ (* (pow l 2) (cos k)) (pow k 2))))
#s(approx (* (cos k) (/ l k)) #s(hole binary64 (/ (* l (cos k)) k)))
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#s(approx (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) #s(hole binary64 (* (pow l 2) (- (* -7/120 (pow k 2)) 1/6))))
#s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) #s(hole binary64 (* (pow l 2) (- (* -7/120 (pow k 2)) 1/2))))
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#s(approx (pow (sin k) 2) #s(hole binary64 (pow k 2)))
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#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
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#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
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#s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) #s(hole binary64 (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2))))))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))))
#s(approx (/ (* (* (/ (* (cos k) l) k) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (* 4 (/ (pow l 2) (pow k 2)))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (/ (+ (* -2 (* (pow k 2) (pow l 2))) (* 4 (pow l 2))) (pow k 2))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (/ (+ (* 4 (pow l 2)) (* (pow k 2) (+ (* -2 (pow l 2)) (* 1/6 (* (pow k 2) (pow l 2)))))) (pow k 2))))
#s(approx (* (* (/ (* (cos k) l) k) (/ l k)) 4) #s(hole binary64 (/ (+ (* 4 (pow l 2)) (* (pow k 2) (+ (* -2 (pow l 2)) (* (pow k 2) (+ (* -1/180 (* (pow k 2) (pow l 2))) (* 1/6 (pow l 2))))))) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2)) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2)) (pow k 2))))
#s(approx (* (/ (* (cos k) l) k) (/ l k)) #s(hole binary64 (/ (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2)) (pow k 2))))
#s(approx (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k t) k)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k t) k)) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k t) k)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))))
#s(approx (/ (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (* (* k t) k)) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) #s(hole binary64 (* 2 (/ (pow l 2) (pow k 2)))))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))) (* 2 (pow l 2))) (pow k 2))))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* 2 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))) (pow k 2))))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) #s(hole binary64 (/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* 2 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (pow l 2)) (+ (* -1/3 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2))))) (+ (* -1/315 (pow l 2)) (* 2/45 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))))) (* 2 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))))))) (pow k 2))))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (/ (* (* (cos k) l) l) (pow (sin k) 2)) #s(hole binary64 (/ (+ (* (pow k 2) (- (+ (* -1/2 (pow l 2)) (* (pow k 2) (- (+ (* 1/24 (pow l 2)) (* (pow k 2) (- (* -1/720 (pow l 2)) (+ (* -1/3 (- (* 1/24 (pow l 2)) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2))))) (+ (* -1/315 (pow l 2)) (* 2/45 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2))))))))) (+ (* -1/3 (- (* -1/2 (pow l 2)) (* -1/3 (pow l 2)))) (* 2/45 (pow l 2)))))) (* -1/3 (pow l 2)))) (pow l 2)) (pow k 2))))
#s(approx (* (* (cos k) l) l) #s(hole binary64 (pow l 2)))
#s(approx (* (* (cos k) l) l) #s(hole binary64 (+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2))))
#s(approx (* (* (cos k) l) l) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2))))
#s(approx (* (* (cos k) l) l) #s(hole binary64 (+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2))))
#s(approx (* (cos k) l) #s(hole binary64 l))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* -1/2 (* (pow k 2) l)))))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))))
#s(approx (* (cos k) l) #s(hole binary64 (+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))))
#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 (/ (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (* k k)) #s(hole binary64 (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2)))))))
#s(approx (/ (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (* k k)) #s(hole binary64 (* (pow k 2) (- (+ (* -1/2 (/ (pow l 2) (pow k 2))) (* 1/24 (pow l 2))) (+ (* -1/3 (/ (pow l 2) (pow k 2))) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2))))))))
#s(approx (/ (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (* k k)) #s(hole binary64 (* (pow k 2) (- (+ (* -1/2 (/ (pow l 2) (pow k 2))) (+ (* 1/24 (pow l 2)) (/ (pow l 2) (pow k 4)))) (+ (* -1/3 (/ (pow l 2) (pow k 2))) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2))))))))
#s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) #s(hole binary64 (* (pow k 4) (- (* 1/24 (pow l 2)) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2)))))))
#s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) #s(hole binary64 (* (pow k 4) (- (+ (* -1/2 (/ (pow l 2) (pow k 2))) (* 1/24 (pow l 2))) (+ (* -1/3 (/ (pow l 2) (pow k 2))) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2))))))))
#s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) #s(hole binary64 (* (pow k 4) (- (+ (* -1/2 (/ (pow l 2) (pow k 2))) (+ (* 1/24 (pow l 2)) (/ (pow l 2) (pow k 4)))) (+ (* -1/3 (/ (pow l 2) (pow k 2))) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2))))))))
#s(approx (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) #s(hole binary64 (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2)))))))
#s(approx (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) #s(hole binary64 (* (pow k 2) (- (+ (* -1/2 (/ (pow l 2) (pow k 2))) (* 1/24 (pow l 2))) (+ (* -1/3 (/ (pow l 2) (pow k 2))) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2))))))))
#s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) #s(hole binary64 (* (pow k 2) (- (* 1/24 (pow l 2)) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2)))))))
#s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) #s(hole binary64 (* (pow k 2) (- (+ (* -1/2 (/ (pow l 2) (pow k 2))) (* 1/24 (pow l 2))) (+ (* 2/45 (pow l 2)) (* 1/18 (pow l 2)))))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (cos.f64 k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) k))
(*.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (cos.f64 k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) #s(literal 2 binary64))
(*.f64 (*.f64 (cos.f64 k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k k) t)))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k t))) (neg.f64 k))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (*.f64 (*.f64 (cos.f64 k) l) l))) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (*.f64 k k) t))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 k) l) l))) (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) (/.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) t))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) #s(literal -2 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 k k) t))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (/.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal -2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 k k) t))))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 t (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (neg.f64 (*.f64 (*.f64 k k) t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l))) (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 k (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) l) #s(literal 4 binary64)) (*.f64 k (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 k) l) l)) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64)))
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(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 4 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64))))) (*.f64 (*.f64 (*.f64 k k) t) #s(literal 2 binary64)))
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#s(approx (pow (sin k) 2) (*.f64 k k))
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#s(approx (sin k) k)
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#s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)))
#s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/6 binary64))) (*.f64 k k) (*.f64 l l)))
#s(approx (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (*.f64 (*.f64 l l) #s(literal -1/6 binary64)))
#s(approx (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/6 binary64))))
#s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (*.f64 (*.f64 l l) #s(literal -1/2 binary64)))
#s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/2 binary64))))
#s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal 1/24 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 2/45 binary64)))) (*.f64 k k) (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)))) (*.f64 k k) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (/.f64 l t) l)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal 1/24 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 2/45 binary64)))) #s(literal -1/3 binary64) (fma.f64 #s(literal -1/315 binary64) (*.f64 (/.f64 l t) l) (*.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) #s(literal 2/45 binary64))))) (*.f64 k k) (-.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal 1/24 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 2/45 binary64)))))) (*.f64 k k) (*.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 k k) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (cos k) (/ l k)) (/ l k)) 4) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 4 binary64)))
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#s(approx (* (* (* (cos k) (/ l k)) (/ l k)) 4) (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal -2 binary64))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal 4 binary64))) (*.f64 k k)))
#s(approx (* (* (* (cos k) (/ l k)) (/ l k)) 4) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/180 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -2 binary64))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal 4 binary64))) (*.f64 k k)))
#s(approx (* (* (cos k) (/ l k)) (/ l k)) (pow.f64 (/.f64 l k) #s(literal 2 binary64)))
#s(approx (* (* (cos k) (/ l k)) (/ l k)) (/.f64 (fma.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 l l)) (*.f64 k k)))
#s(approx (* (* (cos k) (/ l k)) (/ l k)) (/.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) #s(literal 1/24 binary64) (*.f64 (*.f64 l l) #s(literal -1/2 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (* (* (cos k) (/ l k)) (/ l k)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) l) l (*.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 1/24 binary64))) (*.f64 k k))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
#s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal 1/24 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 2/45 binary64)))) (*.f64 k k) (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)))) (*.f64 k k) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (/.f64 l t) l)) (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal 1/24 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 2/45 binary64)))) #s(literal -1/3 binary64) (fma.f64 #s(literal -1/315 binary64) (*.f64 (/.f64 l t) l) (*.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) #s(literal 2/45 binary64))))) (*.f64 k k) (-.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal 1/24 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 2/45 binary64)))))) (*.f64 k k) (*.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 k k) (*.f64 (*.f64 (/.f64 l t) l) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k)))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/6 binary64)))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 l l)) (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) #s(literal -1/3 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (*.f64 l l))))) (*.f64 k k) (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))))) (*.f64 k k) (*.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (pow.f64 (/.f64 l k) #s(literal 2 binary64)))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/6 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 l l)) (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) #s(literal -1/3 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (*.f64 l l))))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/2 binary64))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))
#s(approx (* (* (cos k) l) l) (*.f64 l l))
#s(approx (* (* (cos k) l) l) (fma.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 l l)))
#s(approx (* (* (cos k) l) l) (fma.f64 (fma.f64 (pow.f64 (*.f64 l k) #s(literal 2 binary64)) #s(literal 1/24 binary64) (*.f64 (*.f64 l l) #s(literal -1/2 binary64))) (*.f64 k k) (*.f64 l l)))
#s(approx (* (* (cos k) l) l) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) l) l (*.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 (*.f64 l k) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 1/24 binary64))) (*.f64 k k))) (*.f64 k k) (*.f64 l l)))
#s(approx (* (cos k) l) l)
#s(approx (* (cos k) l) (fma.f64 (*.f64 (*.f64 k k) l) #s(literal -1/2 binary64) l))
#s(approx (* (cos k) l) (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 (* (cos k) l) (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 (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 (*.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 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) t) #s(literal -1/3 binary64) (*.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 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) t) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -7/60 binary64) l) (/.f64 l t) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))))
#s(approx (/ (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (* k k)) (*.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k)))
#s(approx (/ (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (* k k)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) l) l (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/10 binary64) (*.f64 l l)))) (*.f64 k k)))
#s(approx (/ (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (* k k)) (*.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) l) l (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))))) (fma.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/10 binary64) (*.f64 l l)))) (*.f64 k k)))
#s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) l) l (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/10 binary64) (*.f64 l l)))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) l) l (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))))) (fma.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/10 binary64) (*.f64 l l)))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (*.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k)))
#s(approx (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) l) l (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/10 binary64) (*.f64 l l)))) (*.f64 k k)))
#s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (*.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k)))
#s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (*.f64 (fma.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l)))) (*.f64 k k)))

eval107.0ms (1.2%)

Memory
-25.7MiB live, 165.7MiB allocated; 33ms collecting garbage
Compiler

Compiled 60 359 to 4 326 computations (92.8% saved)

prune99.0ms (1.1%)

Memory
-3.7MiB live, 192.6MiB allocated; 8ms collecting garbage
Pruning

54 alts after pruning (48 fresh and 6 done)

PrunedKeptTotal
New80018818
Fresh103040
Picked235
Done033
Total81254866
Accuracy
98.4%
Counts
866 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.7%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l) (*.f64 (sin.f64 k) (tan.f64 k))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
21.7%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
30.8%
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
87.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (*.f64 (cos.f64 k) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))))
86.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (fma.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 l (*.f64 k k)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
86.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (fma.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 k k)) (/.f64 l (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
87.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (fma.f64 (*.f64 (/.f64 l k) (/.f64 l (*.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
48.8%
#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))))
77.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 k k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
77.1%
#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)) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
81.4%
#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) k) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
80.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) #s(literal 2 binary64))))
88.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) l) #s(literal 4 binary64)) (*.f64 k (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))))
72.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
80.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) (/.f64 l k)) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) #s(literal 2 binary64))))
79.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) k))))
76.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))))
65.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (/.f64 (*.f64 l l) k) k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
65.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
58.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) #s(literal 2 binary64))))
64.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) #s(literal 2 binary64))))
72.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (*.f64 l (/.f64 l (*.f64 k k)))) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
80.8%
#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 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
73.3%
#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 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))) (*.f64 (*.f64 k t) k)))
65.9%
#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 #s(approx (* (cos k) l) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
35.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k t) k)))
71.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) k)))
62.9%
#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))))
67.9%
#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)))
66.8%
#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 l (/.f64 l t))))
89.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))))
61.6%
#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)))
69.6%
#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)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
35.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 #s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (*.f64 (*.f64 l l) #s(literal -1/2 binary64))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
35.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
32.6%
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/6 binary64))) (*.f64 k k) (*.f64 l l)) k) k))))
43.9%
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -7/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 l l))) (*.f64 k k)))))
64.6%
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 l l)) (*.f64 k k)))))
70.0%
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
82.5%
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
80.7%
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
73.3%
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
65.9%
#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 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
35.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
86.9%
#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 k t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) k)))
87.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64)))
68.2%
#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)))
68.2%
#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)))
89.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (cos.f64 k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))))
20.8%
#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)) (/.f64 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
19.4%
#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))))
20.8%
#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)) (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 l l) t))))
19.4%
#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)))))
35.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) l))) (pow.f64 k #s(literal 4 binary64)))))
Compiler

Compiled 7 350 to 2 393 computations (67.4% saved)

regimes190.0ms (2.2%)

Memory
-19.0MiB live, 194.9MiB allocated; 110ms collecting garbage
Counts
91 → 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)))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) l) #s(literal 4 binary64)) (*.f64 k (*.f64 (*.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 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 k k)) (*.f64 (*.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) k) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #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))) (*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #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 #s(literal 2 binary64) (*.f64 k t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) k)))
#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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (*.f64 (cos.f64 k) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) (/.f64 l k)) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.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 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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)) #s(approx (tan k) k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (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 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) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
(/.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))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l) (*.f64 (sin.f64 k) (tan.f64 k))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (cos.f64 k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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)) (pow.f64 (/.f64 k t) #s(literal 2 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 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.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 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) (*.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))))
(/.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))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (fma.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 k k)) (/.f64 l (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (fma.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 l (*.f64 k k)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (fma.f64 (*.f64 (/.f64 l k) (/.f64 l (*.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (*.f64 (cos.f64 k) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (cos.f64 k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))))
Calls

6 calls:

83.0ms
t
23.0ms
k
22.0ms
l
20.0ms
(*.f64 l l)
20.0ms
(/.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
95.6%3(*.f64 l l)
89.7%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)))
89.7%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))))
92.5%2t
95.6%3l
94.0%2k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes43.0ms (0.5%)

Memory
18.4MiB live, 64.4MiB allocated; 2ms collecting garbage
Counts
81 → 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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 l l)) (*.f64 k k)))))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) 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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l 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))))
#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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k t) k)))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -7/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 l l))) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 #s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (*.f64 (*.f64 l l) #s(literal -1/2 binary64))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/6 binary64))) (*.f64 k k) (*.f64 l l)) k) k))))
#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))) (*.f64 (*.f64 k k) (*.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 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 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.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 (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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) 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 k #s(literal 4 binary64)) l) (/.f64 t 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 (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 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) 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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 k t) k)) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) 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 #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 (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 l (/.f64 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 (/ 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 (/.f64 l (exp.f64 (*.f64 (log.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) (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 #s(approx (* (cos k) l) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (*.f64 l (/.f64 l (*.f64 k k)))) #s(literal 4 binary64)) (*.f64 (*.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(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.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(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (/.f64 (*.f64 l l) k) k)) #s(literal 4 binary64)) (*.f64 (*.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 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.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))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 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(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)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#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 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))) (*.f64 (*.f64 k t) 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) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #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 (cos.f64 k) (/.f64 l k)) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) 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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))) #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 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) k))))
(/.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 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #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)))))
#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 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
#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) k) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #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 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) l) #s(literal 4 binary64)) (*.f64 k (*.f64 (*.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 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 k k)) (*.f64 (*.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) k) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #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))) (*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #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 #s(literal 2 binary64) (*.f64 k t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) k)))
#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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (*.f64 (cos.f64 k) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) (/.f64 l k)) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.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 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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)) #s(approx (tan k) k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (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 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) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
(/.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))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l) (*.f64 (sin.f64 k) (tan.f64 k))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (*.f64 (cos.f64 k) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
Calls

2 calls:

21.0ms
l
17.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
95.6%3(*.f64 l l)
95.6%3l
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes41.0ms (0.5%)

Memory
4.7MiB live, 53.6MiB allocated; 5ms collecting garbage
Counts
75 → 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)))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 k k)) (*.f64 (*.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) k) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #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))) (*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #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 #s(literal 2 binary64) (*.f64 k t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) k)))
#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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (*.f64 (cos.f64 k) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) (/.f64 l k)) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (*.f64 (cos.f64 k) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
#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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))))
Calls

2 calls:

20.0ms
l
16.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
95.6%3(*.f64 l l)
95.6%3l
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes67.0ms (0.8%)

Memory
-20.3MiB live, 70.7MiB allocated; 7ms collecting garbage
Counts
72 → 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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 l l)) (*.f64 k k)))))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) 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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l 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))))
#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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k t) k)))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -7/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 l l))) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 #s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (*.f64 (*.f64 l l) #s(literal -1/2 binary64))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/6 binary64))) (*.f64 k k) (*.f64 l l)) k) k))))
#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))) (*.f64 (*.f64 k k) (*.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 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 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.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 (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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) 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 k #s(literal 4 binary64)) l) (/.f64 t 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 (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 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) 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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 k t) k)) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) 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 #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 (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 l (/.f64 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 (/ 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 (/.f64 l (exp.f64 (*.f64 (log.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) (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 #s(approx (* (cos k) l) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (*.f64 l (/.f64 l (*.f64 k k)))) #s(literal 4 binary64)) (*.f64 (*.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(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.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(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (/.f64 (*.f64 l l) k) k)) #s(literal 4 binary64)) (*.f64 (*.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 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.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))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 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(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)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#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 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))) (*.f64 (*.f64 k t) 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) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #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 (cos.f64 k) (/.f64 l k)) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) 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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))) #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 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) k))))
(/.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 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #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)))))
#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 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
#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) k) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #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 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) l) #s(literal 4 binary64)) (*.f64 k (*.f64 (*.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 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 k k)) (*.f64 (*.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) k) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #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))) (*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #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 #s(literal 2 binary64) (*.f64 k t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) k)))
#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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #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 (*.f64 (cos.f64 k) l) k) l) #s(literal 4 binary64)) (*.f64 k (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))))
Calls

3 calls:

29.0ms
k
19.0ms
l
16.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
94.0%2k
95.6%3(*.f64 l l)
95.6%3l
Compiler

Compiled 5 to 10 computations (-100% saved)

regimes57.0ms (0.7%)

Memory
27.3MiB live, 75.2MiB allocated; 6ms collecting garbage
Counts
66 → 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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 l l)) (*.f64 k k)))))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) 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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l 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))))
#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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k t) k)))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -7/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 l l))) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 #s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (*.f64 (*.f64 l l) #s(literal -1/2 binary64))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/6 binary64))) (*.f64 k k) (*.f64 l l)) k) k))))
#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))) (*.f64 (*.f64 k k) (*.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 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 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.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 (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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) 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 k #s(literal 4 binary64)) l) (/.f64 t 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 (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 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) 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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 k t) k)) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) 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 #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 (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 l (/.f64 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 (/ 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 (/.f64 l (exp.f64 (*.f64 (log.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) (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 #s(approx (* (cos k) l) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (*.f64 l (/.f64 l (*.f64 k k)))) #s(literal 4 binary64)) (*.f64 (*.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(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.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(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (/.f64 (*.f64 l l) k) k)) #s(literal 4 binary64)) (*.f64 (*.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 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.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))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 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(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)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#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 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))) (*.f64 (*.f64 k t) 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) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #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 (cos.f64 k) (/.f64 l k)) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) 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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))) #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 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) k))))
(/.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 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #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)))))
#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 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
#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) k) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #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 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #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 #s(literal 2 binary64) k) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) #s(literal 2 binary64))))
Calls

3 calls:

20.0ms
(*.f64 l l)
16.0ms
l
16.0ms
k
Results
AccuracySegmentsBranch
95.5%3l
95.5%3(*.f64 l l)
93.7%2k
Compiler

Compiled 5 to 10 computations (-100% saved)

regimes63.0ms (0.7%)

Memory
-1.2MiB live, 92.5MiB allocated; 20ms collecting garbage
Counts
64 → 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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 l l)) (*.f64 k k)))))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) 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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l 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))))
#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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k t) k)))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -7/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 l l))) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 #s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (*.f64 (*.f64 l l) #s(literal -1/2 binary64))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/6 binary64))) (*.f64 k k) (*.f64 l l)) k) k))))
#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))) (*.f64 (*.f64 k k) (*.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 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 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.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 (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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) 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 k #s(literal 4 binary64)) l) (/.f64 t 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 (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 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) 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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 k t) k)) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) 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 #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 (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 l (/.f64 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 (/ 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 (/.f64 l (exp.f64 (*.f64 (log.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) (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 #s(approx (* (cos k) l) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (*.f64 l (/.f64 l (*.f64 k k)))) #s(literal 4 binary64)) (*.f64 (*.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(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.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(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (/.f64 (*.f64 l l) k) k)) #s(literal 4 binary64)) (*.f64 (*.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 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.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))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 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(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)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#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 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))) (*.f64 (*.f64 k t) 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) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #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 (cos.f64 k) (/.f64 l k)) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) 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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))) #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 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) k))))
(/.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 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (sin.f64 k) #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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (*.f64 (cos.f64 k) l) (/.f64 l (pow.f64 (sin.f64 k) #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)))))
#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 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) #s(literal 2 binary64))))
Calls

3 calls:

23.0ms
(*.f64 l l)
20.0ms
k
16.0ms
l
Results
AccuracySegmentsBranch
93.7%2k
95.2%3l
95.2%3(*.f64 l l)
Compiler

Compiled 5 to 10 computations (-100% saved)

regimes69.0ms (0.8%)

Memory
10.2MiB live, 100.0MiB allocated; 12ms collecting garbage
Counts
59 → 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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 l l)) (*.f64 k k)))))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) 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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l 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))))
#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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k t) k)))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -7/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 l l))) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 #s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (*.f64 (*.f64 l l) #s(literal -1/2 binary64))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/6 binary64))) (*.f64 k k) (*.f64 l l)) k) k))))
#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))) (*.f64 (*.f64 k k) (*.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 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 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.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 (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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) 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 k #s(literal 4 binary64)) l) (/.f64 t 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 (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 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) 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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 k t) k)) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) 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 #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 (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 l (/.f64 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 (/ 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 (/.f64 l (exp.f64 (*.f64 (log.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) (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 #s(approx (* (cos k) l) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (*.f64 l (/.f64 l (*.f64 k k)))) #s(literal 4 binary64)) (*.f64 (*.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(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.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(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (/.f64 (*.f64 l l) k) k)) #s(literal 4 binary64)) (*.f64 (*.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 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.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))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 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(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)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#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 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))) (*.f64 (*.f64 k t) 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) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #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 (cos.f64 k) (/.f64 l k)) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) 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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
(/.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) (/.f64 (*.f64 k k) (*.f64 t t))) #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 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) l) l) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) k))))
(/.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))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) 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 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 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) #s(literal 2 binary64))))
Calls

4 calls:

18.0ms
k
17.0ms
(*.f64 l l)
15.0ms
l
14.0ms
t
Results
AccuracySegmentsBranch
86.5%3t
92.7%3(*.f64 l l)
92.7%3l
92.9%3k
Compiler

Compiled 6 to 13 computations (-116.7% saved)

regimes22.0ms (0.3%)

Memory
-30.7MiB live, 25.2MiB allocated; 11ms 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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 l l)) (*.f64 k k)))))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) 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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l 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))))
#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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k t) k)))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -7/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 l l))) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 #s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (*.f64 (*.f64 l l) #s(literal -1/2 binary64))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/6 binary64))) (*.f64 k k) (*.f64 l l)) k) k))))
#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))) (*.f64 (*.f64 k k) (*.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 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 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.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 (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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) 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 k #s(literal 4 binary64)) l) (/.f64 t 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 (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 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) 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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 k t) k)) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) 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 #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 (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 l (/.f64 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 (/ 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 (/.f64 l (exp.f64 (*.f64 (log.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) (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 #s(approx (* (cos k) l) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (*.f64 l (/.f64 l (*.f64 k k)))) #s(literal 4 binary64)) (*.f64 (*.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(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.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(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (/.f64 (*.f64 l l) k) k)) #s(literal 4 binary64)) (*.f64 (*.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 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.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))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 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(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)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#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 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))) (*.f64 (*.f64 k t) 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) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #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 (cos.f64 k) (/.f64 l k)) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) #s(literal 2 binary64))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) 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 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 (*.f64 (cos.f64 k) (/.f64 l k)) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) #s(literal 2 binary64))))
Calls

1 calls:

19.0ms
k
Results
AccuracySegmentsBranch
92.9%3k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes72.0ms (0.8%)

Memory
24.3MiB live, 112.3MiB allocated; 22ms 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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 l l)) (*.f64 k k)))))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) 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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l 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))))
#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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k t) k)))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -7/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 l l))) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 #s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (*.f64 (*.f64 l l) #s(literal -1/2 binary64))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/6 binary64))) (*.f64 k k) (*.f64 l l)) k) k))))
#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))) (*.f64 (*.f64 k k) (*.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 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 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.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 (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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) 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 k #s(literal 4 binary64)) l) (/.f64 t 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 (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 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) 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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 k t) k)) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) 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 #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 (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 l (/.f64 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 (/ 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 (/.f64 l (exp.f64 (*.f64 (log.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) (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 #s(approx (* (cos k) l) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (*.f64 l (/.f64 l (*.f64 k k)))) #s(literal 4 binary64)) (*.f64 (*.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(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.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(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (/.f64 (*.f64 l l) k) k)) #s(literal 4 binary64)) (*.f64 (*.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 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.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))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 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(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)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
#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 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))) (*.f64 (*.f64 k t) 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) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) #s(approx (tan k) k)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) 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 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 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))) (*.f64 (*.f64 k t) k)))
Calls

5 calls:

21.0ms
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
k
11.0ms
(*.f64 l l)
10.0ms
(*.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
81.9%2(*.f64 l l)
81.9%2l
74.3%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)))
76.2%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))))
89.7%3k
Compiler

Compiled 53 to 47 computations (11.3% saved)

regimes81.0ms (0.9%)

Memory
-20.2MiB live, 23.9MiB allocated; 24ms collecting garbage
Counts
48 → 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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 l l)) (*.f64 k k)))))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) 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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l 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))))
#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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k t) k)))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -7/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 l l))) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 #s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (*.f64 (*.f64 l l) #s(literal -1/2 binary64))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/6 binary64))) (*.f64 k k) (*.f64 l l)) k) k))))
#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))) (*.f64 (*.f64 k k) (*.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 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 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.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 (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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) 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 k #s(literal 4 binary64)) l) (/.f64 t 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 (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 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) 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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 k t) k)) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) 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 #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 (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 l (/.f64 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 (/ 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 (/.f64 l (exp.f64 (*.f64 (log.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) (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 #s(approx (* (cos k) l) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (*.f64 l (/.f64 l (*.f64 k k)))) #s(literal 4 binary64)) (*.f64 (*.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(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.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(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (/.f64 (*.f64 l l) k) k)) #s(literal 4 binary64)) (*.f64 (*.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 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.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))))
#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 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 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(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)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) 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 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 k) (*.f64 l l)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))))
Calls

1 calls:

78.0ms
k
Results
AccuracySegmentsBranch
89.6%3k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes100.0ms (1.1%)

Memory
2.1MiB live, 105.8MiB allocated; 63ms collecting garbage
Counts
46 → 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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 l l)) (*.f64 k k)))))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) 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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l 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))))
#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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k t) k)))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -7/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 l l))) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 #s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (*.f64 (*.f64 l l) #s(literal -1/2 binary64))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/6 binary64))) (*.f64 k k) (*.f64 l l)) k) k))))
#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))) (*.f64 (*.f64 k k) (*.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 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 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.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 (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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) 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 k #s(literal 4 binary64)) l) (/.f64 t 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 (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 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) 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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 k t) k)) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (* (* (* (cos k) (/ l k)) (/ l k)) 4) (* (* (pow (sin k) 2) t) 2)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 l t) l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 (/.f64 l t) 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 #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 (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 l (/.f64 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 (/ 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 (/.f64 l (exp.f64 (*.f64 (log.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) (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 #s(approx (* (cos k) (* l l)) (*.f64 l l)) (pow.f64 (sin.f64 k) #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 #s(approx (* (cos k) l) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k)))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (*.f64 l (/.f64 l (*.f64 k k)))) #s(literal 4 binary64)) (*.f64 (*.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(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.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(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (/.f64 (*.f64 l l) k) k)) #s(literal 4 binary64)) (*.f64 (*.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 (*.f64 (/.f64 #s(approx (* (cos k) l) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))
(/.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))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 k t) k)) #s(literal 2 binary64))))
Calls

5 calls:

44.0ms
l
19.0ms
(/.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))))
11.0ms
k
11.0ms
t
10.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
74.3%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))))
74.3%1(*.f64 l l)
74.3%1l
74.3%1t
74.3%1k
Compiler

Compiled 31 to 32 computations (-3.2% saved)

regimes48.0ms (0.5%)

Memory
12.1MiB live, 103.4MiB allocated; 6ms collecting garbage
Counts
28 → 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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 l l)) (*.f64 k k)))))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) 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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l 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))))
#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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k t) k)))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -7/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 l l))) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 #s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (*.f64 (*.f64 l l) #s(literal -1/2 binary64))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/6 binary64))) (*.f64 k k) (*.f64 l l)) k) k))))
#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))) (*.f64 (*.f64 k k) (*.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 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 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.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 (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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) 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 k #s(literal 4 binary64)) l) (/.f64 t 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 (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 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) #s(literal 2 binary64))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) k)))
#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))))
Calls

6 calls:

10.0ms
k
8.0ms
(/.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))))
8.0ms
l
7.0ms
t
7.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
71.4%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)))
71.4%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))))
73.5%2t
73.1%2(*.f64 l l)
73.7%2k
73.1%2l
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes41.0ms (0.5%)

Memory
-23.5MiB live, 83.0MiB allocated; 5ms collecting garbage
Counts
24 → 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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 l l)) (*.f64 k k)))))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) 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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l 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))))
#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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k t) k)))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -7/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 l l))) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 #s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (*.f64 (*.f64 l l) #s(literal -1/2 binary64))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/6 binary64))) (*.f64 k k) (*.f64 l l)) k) k))))
#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))) (*.f64 (*.f64 k k) (*.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 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 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.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 (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)))
Outputs
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
#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))))
Calls

6 calls:

8.0ms
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)))
7.0ms
l
7.0ms
k
6.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
70.0%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)))
70.0%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))))
71.7%2(*.f64 l l)
71.7%2l
72.1%2t
72.4%2k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes7.0ms (0.1%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Counts
21 → 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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 l l)) (*.f64 k k)))))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) 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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l 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))))
#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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k t) k)))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -7/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 l l))) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 #s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (*.f64 (*.f64 l l) #s(literal -1/2 binary64))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/6 binary64))) (*.f64 k k) (*.f64 l l)) k) k))))
#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))) (*.f64 (*.f64 k k) (*.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 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 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.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 (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)) #s(literal 2 binary64)))
Outputs
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k)))))
#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)))
Calls

1 calls:

6.0ms
k
Results
AccuracySegmentsBranch
72.2%2k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Counts
20 → 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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 l l)) (*.f64 k k)))))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) 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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l 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))))
#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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) (*.f64 k k) (*.f64 l l))) (*.f64 k k))) (*.f64 (*.f64 k t) k)))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -7/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) (*.f64 l l))) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 #s(approx (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (*.f64 (*.f64 l l) #s(literal -1/2 binary64))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 l l) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/10 binary64) (*.f64 l l))) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal -1/6 binary64))) (*.f64 k k) (*.f64 l l)) k) k))))
#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))) (*.f64 (*.f64 k k) (*.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 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 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 l l)) (fma.f64 (*.f64 (*.f64 l l) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal -1/2 binary64) (*.f64 l l))) (*.f64 (*.f64 l l) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 l l)) (*.f64 k k)))))
Outputs
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l 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)))
Calls

1 calls:

6.0ms
k
Results
AccuracySegmentsBranch
72.1%2k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes20.0ms (0.2%)

Memory
-3.6MiB live, 43.1MiB allocated; 2ms collecting garbage
Counts
9 → 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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 l l)) (*.f64 k k)))))
#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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) #s(literal 2 binary64))))
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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) #s(literal 2 binary64))))
Calls

6 calls:

5.0ms
k
3.0ms
t
3.0ms
l
3.0ms
(*.f64 l l)
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)))
Results
AccuracySegmentsBranch
68.2%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)))
68.2%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))))
70.3%2(*.f64 l l)
70.3%2l
68.2%1t
68.2%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes4.0ms (0%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms 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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 l l)) (*.f64 k k)))))
#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)))
#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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 l l)) (*.f64 k k)))))
Calls

1 calls:

3.0ms
l
Results
AccuracySegmentsBranch
70.3%2l
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
-34.4MiB live, 12.7MiB allocated; 1ms collecting garbage
Counts
6 → 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 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.f64 k k)))))
Calls

2 calls:

2.0ms
l
2.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
70.3%2(*.f64 l l)
70.3%2l
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes4.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Counts
5 → 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)))
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:

2.0ms
l
2.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
68.2%1(*.f64 l l)
68.2%1l
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes11.0ms (0.1%)

Memory
22.3MiB live, 22.3MiB 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 (*.f64 #s(literal -7/60 binary64) (*.f64 l l)) t)))
Calls

6 calls:

2.0ms
l
2.0ms
t
2.0ms
k
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))))
2.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
20.8%1k
20.8%1(*.f64 l l)
20.8%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)))
20.8%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))))
20.8%1t
20.8%1l
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes56.0ms (0.6%)

Memory
-29.5MiB live, 20.0MiB allocated; 5ms collecting garbage
Counts
3 → 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))))
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:

48.0ms
k
2.0ms
t
2.0ms
l
1.0ms
(*.f64 l l)
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))))
Results
AccuracySegmentsBranch
20.8%1(*.f64 l l)
20.8%1l
20.8%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)))
20.8%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))))
20.8%1t
20.8%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes7.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated; 0ms 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:

1.0ms
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
19.4%1(*.f64 l l)
19.4%1l
19.4%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)))
19.4%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))))
19.4%1t
19.4%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

bsearch94.0ms (1.1%)

Memory
-1.5MiB live, 45.3MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
81.0ms
9.286112660109537e+78
6.722625989660547e+79
9.0ms
2.600950467077089e-141
2.6786944931940952e-138
Samples
64.0ms69×0valid
11.0ms31×3valid
6.0ms20×2valid
2.0ms1valid
Compiler

Compiled 748 to 541 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-pow2: 55.0ms (70% of total)
adjust: 6.0ms (7.6% of total)
ival-div: 4.0ms (5.1% of total)
ival-mult: 4.0ms (5.1% of total)
ival-sin: 3.0ms (3.8% of total)
ival-tan: 2.0ms (2.5% of total)
ival-pow: 2.0ms (2.5% of total)
ival-sub: 1.0ms (1.3% of total)
ival-add: 1.0ms (1.3% 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
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
1.0ms
9.286112660109537e+78
6.722625989660547e+79
0.0ms
2.600950467077089e-141
2.6786944931940952e-138
Compiler

Compiled 760 to 547 computations (28% saved)

bsearch2.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
1.0ms
9.286112660109537e+78
6.722625989660547e+79
0.0ms
2.600950467077089e-141
2.6786944931940952e-138
Compiler

Compiled 748 to 535 computations (28.5% saved)

bsearch16.0ms (0.2%)

Memory
-17.6MiB live, 27.2MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
2.5379208256161545e+105
3.249568625637302e+105
Samples
6.0ms36×0valid
5.0ms2valid
1.0ms1valid
Compiler

Compiled 304 to 223 computations (26.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-tan: 4.0ms (37.4% of total)
ival-sin: 2.0ms (18.7% of total)
ival-div: 1.0ms (9.3% of total)
adjust: 1.0ms (9.3% of total)
ival-pow2: 1.0ms (9.3% of total)
ival-pow: 1.0ms (9.3% of total)
ival-mult: 1.0ms (9.3% 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)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.5210119929442003e+214
4.566925440787072e+216
0.0ms
3.9183357155599216e-159
3.550642352413664e-143
Compiler

Compiled 28 to 25 computations (10.7% saved)

bsearch48.0ms (0.5%)

Memory
-0.9MiB live, 44.1MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
45.0ms
1.7798208245227948e+87
9.587684166914598e+88
Samples
13.0ms76×0valid
6.0ms21×1valid
5.0ms15×2valid
Compiler

Compiled 700 to 508 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sin: 4.0ms (20% of total)
ival-div: 3.0ms (15% of total)
ival-tan: 3.0ms (15% of total)
ival-mult: 3.0ms (15% of total)
adjust: 2.0ms (10% of total)
ival-pow2: 2.0ms (10% of total)
ival-sub: 1.0ms (5% of total)
ival-pow: 1.0ms (5% of total)
ival-add: 1.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch105.0ms (1.2%)

Memory
-3.7MiB live, 45.6MiB allocated; 10ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
58.0ms
6.578862565488975e-7
0.0026937770815811035
40.0ms
1.251463625879056e-84
5.30876277958587e-77
Samples
41.0ms118×0valid
22.0ms74×2valid
12.0ms34×3valid
10.0ms46×1valid
Compiler

Compiled 1 508 to 1 095 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 34.0ms (46% of total)
adjust: 14.0ms (18.9% of total)
ival-div: 8.0ms (10.8% of total)
ival-pow2: 5.0ms (6.8% of total)
ival-sub: 3.0ms (4.1% of total)
ival-add: 3.0ms (4.1% of total)
ival-pow: 3.0ms (4.1% of total)
ival-tan: 2.0ms (2.7% of total)
ival-sin: 2.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.578862565488975e-7
0.0026937770815811035
1.0ms
1.251463625879056e-84
5.30876277958587e-77
Compiler

Compiled 1 508 to 1 087 computations (27.9% saved)

bsearch4.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
6.578862565488975e-7
0.0026937770815811035
1.0ms
1.251463625879056e-84
5.30876277958587e-77
Compiler

Compiled 1 492 to 1 079 computations (27.7% saved)

bsearch3.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.578862565488975e-7
0.0026937770815811035
1.0ms
1.251463625879056e-84
5.30876277958587e-77
Compiler

Compiled 1 492 to 1 079 computations (27.7% saved)

bsearch36.0ms (0.4%)

Memory
18.1MiB live, 61.1MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
33.0ms
5.609065483893136e-31
3.2317017805350183e-29
Samples
15.0ms39×2valid
6.0ms50×0valid
3.0ms3valid
3.0ms14×1valid
Compiler

Compiled 658 to 466 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 7.0ms (30.2% of total)
adjust: 5.0ms (21.6% of total)
ival-mult: 3.0ms (12.9% of total)
ival-pow2: 2.0ms (8.6% of total)
ival-sub: 1.0ms (4.3% of total)
ival-tan: 1.0ms (4.3% of total)
ival-add: 1.0ms (4.3% of total)
ival-pow: 1.0ms (4.3% of total)
ival-sin: 1.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
5.609065483893136e-31
3.2317017805350183e-29
Compiler

Compiled 658 to 452 computations (31.3% saved)

bsearch2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.251463625879056e-84
5.30876277958587e-77
Compiler

Compiled 838 to 574 computations (31.5% saved)

bsearch29.0ms (0.3%)

Memory
-39.7MiB live, 2.4MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
1.251463625879056e-84
5.30876277958587e-77
Compiler

Compiled 874 to 574 computations (34.3% saved)

bsearch41.0ms (0.5%)

Memory
41.4MiB live, 84.5MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
38.0ms
5.407428667745426e-174
1.9600906887145627e-169
Samples
12.0ms77×0valid
10.0ms21×2valid
7.0ms20×3valid
2.0ms10×1valid
Compiler

Compiled 828 to 553 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
adjust: 8.0ms (29.7% of total)
ival-mult: 4.0ms (14.9% of total)
ival-div: 3.0ms (11.2% of total)
ival-sin: 3.0ms (11.2% of total)
ival-pow2: 2.0ms (7.4% of total)
ival-tan: 2.0ms (7.4% of total)
ival-pow: 2.0ms (7.4% of total)
ival-sub: 1.0ms (3.7% of total)
ival-add: 1.0ms (3.7% 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
4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
5.407428667745426e-174
1.9600906887145627e-169
Compiler

Compiled 1 132 to 673 computations (40.5% saved)

bsearch2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
5.407428667745426e-174
1.9600906887145627e-169
Compiler

Compiled 780 to 521 computations (33.2% saved)

simplify79.0ms (0.9%)

Memory
-49.1MiB live, 109.0MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02492389
13982381
211052265
357252265
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 l #s(literal 5363123171977039/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (*.f64 (cos.f64 k) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l)))) (if (<=.f64 l #s(literal 9500000000000000594909577782929066446842133832860258658107449486170277902548992 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 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (cos.f64 k) (pow.f64 (/.f64 l k) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64)))))))
(if (<=.f64 l #s(literal 5363123171977039/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (*.f64 (cos.f64 k) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l)))) (if (<=.f64 l #s(literal 9500000000000000594909577782929066446842133832860258658107449486170277902548992 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 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))))
(if (<=.f64 l #s(literal 5363123171977039/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (/ (* k k) (* t t))) 1)) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) (*.f64 (cos.f64 k) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l)))) (if (<=.f64 l #s(literal 9500000000000000594909577782929066446842133832860258658107449486170277902548992 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 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 k t) k))) #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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k))))))
(if (<=.f64 k #s(literal 3000000000000000069404399517656696404536793144588643566316797845858645804991355310208124052928813038829568 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #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 (*.f64 (cos.f64 k) l) k) l) #s(literal 4 binary64)) (*.f64 k (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 2 binary64))))))
(if (<=.f64 (*.f64 l l) #s(literal 4946608029462091/989321605892418136242010084078588760140525396404847359656252224371588900426127468681265604244972179958390685704064557357405460137227004839870184620407572671666427088594796544 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #s(literal 2 binary64))) (if (<=.f64 (*.f64 l l) #s(literal 49999999999999995330198468225524703826394548194701053159345084507115413708757670091743622190149053413759025518007707131393881439813902082824467117111608474326452996960273452498565412845895376957912768386801736876032 binary64)) #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) k) (*.f64 (*.f64 (cos.f64 k) l) l)) (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) #s(literal 2 binary64))))))
(if (<=.f64 k #s(literal 15000000000000000274674399234447605764028691716186029508788033584910037905067417029050368 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 k k) t)) (/.f64 l (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #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 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) #s(literal 2 binary64)))))
(if (<=.f64 k #s(literal 439999770888249/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) k))) (if (<=.f64 k #s(literal 8762203435012037/9223372036854775808 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 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) #s(literal 2 binary64))))))
(if (<=.f64 k #s(literal 439999770888249/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) k))) (if (<=.f64 k #s(literal 8762203435012037/9223372036854775808 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 (*.f64 (cos.f64 k) (/.f64 l k)) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) #s(literal 2 binary64))))))
(if (<=.f64 k #s(literal 439999770888249/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) k))) (if (<=.f64 k #s(literal 8762203435012037/9223372036854775808 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 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))))) (*.f64 (*.f64 k t) k)))))
(if (<=.f64 k #s(literal 439999770888249/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) k))) (if (<=.f64 k #s(literal 8762203435012037/9223372036854775808 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) (/.f64 (*.f64 (cos.f64 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(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) l) k) (/.f64 l k)) #s(literal 4 binary64)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 k t) k)) #s(literal 2 binary64))))
(if (<=.f64 k #s(literal 6279889847906223/1427247692705959881058285969449495136382746624 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (/ (* (* (cos k) l) l) (pow (sin k) 2))) (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k t) k))) #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)))))
(if (<=.f64 k #s(literal 6279889847906223/1427247692705959881058285969449495136382746624 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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k))))) #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)))))
(if (<=.f64 k #s(literal 439999770888249/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l k))))) #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))))
(if (<=.f64 k #s(literal 439999770888249/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 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)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (*.f64 (/.f64 l k) (/.f64 l 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))))
(if (<=.f64 l #s(literal 403664874540743/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512 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 #s(approx (* (/ (* (cos k) l) k) (/ l k)) (/.f64 (*.f64 l l) (*.f64 k k))) #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) #s(literal 2 binary64)))))
(if (<=.f64 l #s(literal 403664874540743/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512 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 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 #s(approx (+ (* (- (+ (* (- (* 1/24 (* l l)) (+ (* (* (* l l) -1/6) -1/3) (* 2/45 (* l l)))) (* k k)) (* -1/2 (* l l))) (* (* l l) -1/3)) (* k k)) (* l l)) (*.f64 l l)) (*.f64 k k))))))
(if (<=.f64 l #s(literal 403664874540743/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t))) #s(approx (/ (* (cos k) (* l l)) (pow (sin k) 2)) (/.f64 (*.f64 l l) (*.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 (*.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))) #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
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#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 (*.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))) #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)))))

derivations872.0ms (10%)

Memory
26.4MiB live, 819.6MiB allocated; 104ms collecting garbage
Stop Event
fuel
Compiler

Compiled 2 389 to 246 computations (89.7% saved)

preprocess123.0ms (1.4%)

Memory
5.1MiB live, 294.0MiB allocated; 44ms collecting garbage
Remove

(negabs t)

(abs k)

Compiler

Compiled 5 956 to 954 computations (84% saved)

end0.0ms (0%)

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

Profiling

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