Toniolo and Linder, Equation (10-)

Time bar (total: 12.4s)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze883.0ms (7.1%)

Memory
3.0MiB live, 1 289.2MiB allocated; 334ms 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)

sample3.5s (28.2%)

Memory
18.9MiB live, 4 097.4MiB allocated; 1.4s collecting garbage
Samples
974.0ms4 255×0valid
943.0ms1 333×3valid
671.0ms1 549×2valid
384.0ms1 115×1valid
2.0ms4valid
Precisions
Click to see histograms. Total time spent on operations: 2.6s
ival-div: 729.0ms (28.2% of total)
adjust: 455.0ms (17.6% of total)
ival-mult: 290.0ms (11.2% of total)
ival-sin: 246.0ms (9.5% of total)
ival-pow: 239.0ms (9.2% of total)
ival-tan: 231.0ms (8.9% of total)
ival-pow2: 213.0ms (8.2% of total)
ival-add: 80.0ms (3.1% of total)
ival-sub: 77.0ms (3% of total)
exact: 13.0ms (0.5% of total)
ival-true: 6.0ms (0.2% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain552.0ms (4.4%)

Memory
-5.4MiB live, 857.9MiB allocated; 275ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
860-0-(*.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)))
700-0-(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
611(3.084229015648603e-154 -7.039444766093e-70 1.0023333503418461e-150)1(2.6711122167405228e-104 -2.825624342668036e-9 -2.676532089657916e+199)(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
100-0-(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
50-0-(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
40-0-(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
00-0-k
00-0-(/.f64 k t)
00-0-t
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(tan.f64 k)
00-0-(pow.f64 (/.f64 k t) #s(literal 2 binary64))
00-0-(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
00-0-(*.f64 l l)
00-0-(sin.f64 k)
00-0-(pow.f64 t #s(literal 3 binary64))
00-0-#s(literal 2 binary64)
00-0-l
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))cancellation700
*.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*o410
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))underflow79
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))underflow101
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))underflow87
(pow.f64 t #s(literal 3 binary64))underflow88
(*.f64 l l)underflow56
(/.f64 k t)overflow28
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow67
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow67
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow67
*.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*u310
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow79
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))overflow64
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow74
(pow.f64 t #s(literal 3 binary64))overflow88
(*.f64 l l)overflow54
(/.f64 k t)underflow32
(-.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))o/o230
(pow.f64 t #s(literal 3 binary64))overflow88
(*.f64 l l)overflow54
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/u180
(pow.f64 t #s(literal 3 binary64))underflow88
(*.f64 l l)underflow56
*.f64(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))n*o100
*.f64(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))n*o90
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/n70
(pow.f64 t #s(literal 3 binary64))underflow88
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/o60
(*.f64 l l)overflow54
*.f64(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))n*o50
*.f64(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))n*u50
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/u40
(*.f64 l l)underflow56
/.f64(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))n/o40
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))overflow64
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow74
(*.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)))overflow63
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow67
(/.f64 k t)overflow28
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow79
(pow.f64 t #s(literal 3 binary64))overflow88
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow67
(*.f64 l l)overflow54
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow67
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/n30
(pow.f64 t #s(literal 3 binary64))overflow88
Confusion
Predicted +Predicted -
+1680
-3157
Precision
0.8442211055276382
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+16800
-31057
Precision?
0.8442211055276382
Recall?
1.0
Freqs
test
numberfreq
057
1163
235
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
78.0ms90×2valid
67.0ms236×0valid
53.0ms88×3valid
34.0ms98×1valid
Compiler

Compiled 265 to 61 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 180.0ms
adjust: 69.0ms (38.2% of total)
ival-pow: 34.0ms (18.8% of total)
ival-mult: 19.0ms (10.5% of total)
ival-div: 17.0ms (9.4% of total)
ival-pow2: 10.0ms (5.5% of total)
ival-tan: 10.0ms (5.5% of total)
ival-sin: 10.0ms (5.5% of total)
ival-sub: 5.0ms (2.8% of total)
ival-add: 5.0ms (2.8% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess153.0ms (1.2%)

Memory
-10.3MiB live, 222.0MiB allocated; 46ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082231
1242207
21121189
37207189
01925
03225
16223
219721
3129321
0821221
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 k)

(abs l)

(negabs t)

Compiler

Compiled 25 to 19 computations (24% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.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)

simplify0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series70.0ms (0.6%)

Memory
-18.2MiB live, 128.4MiB allocated; 15ms collecting garbage
Counts
19 → 40
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
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (pow t 3) (pow l 2))
(pow t 3)
t
(/ (pow k 2) (pow t 2))
(/ (+ (pow k 2) (pow t 2)) (pow t 2))
(/ k t)
1
(+ 1 (/ (pow k 2) (pow t 2)))
(pow l 2)
l
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))
(/ (+ (* 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))
(/ (+ (* 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))
(/ (* (pow k 4) t) (pow l 2))
(* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))
(* (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))))
(* (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))))
(/ (* (pow k 2) (pow t 3)) (pow l 2))
(* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(* (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))))
(* (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))))
(/ (* k (pow t 3)) (pow l 2))
(* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(* 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))))
(* 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))))
k
(* k (+ 1 (* -1/6 (pow k 2))))
(* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))
(* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))
(* k (+ 1 (* 1/3 (pow k 2))))
(* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))
(* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))
(sin k)
(/ (sin k) (cos k))
(* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))
Calls

9 calls:

TimeVariablePointExpression
21.0ms
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))
10.0ms
t
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (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))
6.0ms
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))
6.0ms
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))

simplify173.0ms (1.4%)

Memory
32.1MiB live, 261.1MiB allocated; 30ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0172704
1663656
23032584
08200547
Stop Event
iter limit
node limit
Counts
40 → 37
Calls
Call 1
Inputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (pow t 3) (pow l 2))
(pow t 3)
t
(/ (pow k 2) (pow t 2))
(/ (+ (pow k 2) (pow t 2)) (pow t 2))
(/ k t)
1
(+ 1 (/ (pow k 2) (pow t 2)))
(pow l 2)
l
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))
(/ (+ (* 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))
(/ (+ (* 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))
(/ (* (pow k 4) t) (pow l 2))
(* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))
(* (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))))
(* (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))))
(/ (* (pow k 2) (pow t 3)) (pow l 2))
(* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(* (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))))
(* (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))))
(/ (* k (pow t 3)) (pow l 2))
(* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(* 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))))
(* 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))))
k
(* k (+ 1 (* -1/6 (pow k 2))))
(* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))
(* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))
(* k (+ 1 (* 1/3 (pow k 2))))
(* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))
(* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))
(sin k)
(/ (sin k) (cos k))
(* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))
Outputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (/.f64 (*.f64 l l) k))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 (cos.f64 k) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(/ (pow t 3) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(pow t 3)
(pow.f64 t #s(literal 3 binary64))
t
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 k t) (/.f64 k t))
(/ (+ (pow k 2) (pow t 2)) (pow t 2))
(fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64))
(/ k t)
(/.f64 k t)
1
#s(literal 1 binary64)
(+ 1 (/ (pow k 2) (pow t 2)))
(fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64))
(pow l 2)
(*.f64 l l)
l
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(*.f64 (/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #s(literal 2 binary64) l))
(/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))
(/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #s(literal 2 binary64))) (pow.f64 k #s(literal 4 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))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)) k) k) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #s(literal 2 binary64)))) (pow.f64 k #s(literal 4 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))
(/.f64 (fma.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 31/3024 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))) (pow.f64 k #s(literal 4 binary64)))) (pow.f64 k #s(literal 4 binary64)))
(/ (* (pow k 4) t) (pow l 2))
(*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))
(* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) k) k #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 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))))
(*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 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))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) k) k #s(literal 1 binary64)) (/.f64 t (*.f64 l l)) (*.f64 (*.f64 (/.f64 t (*.f64 l l)) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (pow.f64 k #s(literal 4 binary64)))) (pow.f64 k #s(literal 4 binary64)))
(/ (* (pow k 2) (pow t 3)) (pow l 2))
(*.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) k) l) (/.f64 k l))
(* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) k) k #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) k) l) (/.f64 k l)))
(* (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))))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) (*.f64 k k))
(* (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))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) k) k #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l) (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64))) (pow.f64 k #s(literal 4 binary64)))) (*.f64 k k))
(/ (* k (pow t 3)) (pow l 2))
(*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) k)
(* 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))))
(fma.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l) (fma.f64 (*.f64 #s(literal 1/120 binary64) k) k #s(literal -1/6 binary64))) (*.f64 (/.f64 k l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)))
(* 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))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l) (*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l) (fma.f64 #s(literal -1/5040 binary64) (*.f64 k k) #s(literal 1/120 binary64))) (pow.f64 k #s(literal 4 binary64)))) k)
k
(* k (+ 1 (* -1/6 (pow k 2))))
(fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal -1/6 binary64) k)
(* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))
(fma.f64 (pow.f64 k #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) k)
(* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))
(fma.f64 (pow.f64 k #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 k #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 k k))) #s(literal 1/6 binary64)) k)
(* k (+ 1 (* 1/3 (pow k 2))))
(fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal 1/3 binary64) k)
(* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))
(fma.f64 (pow.f64 k #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 k k) #s(literal 1/3 binary64)) k)
(* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))
(fma.f64 (pow.f64 k #s(literal 3 binary64)) (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)) k)
(sin k)
(sin.f64 k)
(/ (sin k) (cos k))
(/.f64 (sin.f64 k) (cos.f64 k))
(* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))
(fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64))

rewrite318.0ms (2.6%)

Memory
-38.0MiB live, 291.4MiB allocated; 91ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019118
032114
1111110
2708106
08181106
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 176
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
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (*.f64 (tan.f64 k) (sin.f64 k)))) l)
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))) (tan.f64 k))) (*.f64 (neg.f64 l) l))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))) (tan.f64 k))) (*.f64 l l))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)))) (cos.f64 k))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (*.f64 (cos.f64 k) l) l))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)) (/.f64 (sin.f64 k) l)) (*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (sin.f64 k))) (cos.f64 k))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)) (/.f64 (sin.f64 k) l)) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 k))) (*.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 2 binary64)) (cos.f64 k)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 (pow.f64 t #s(literal 3 binary64)) l)) (/.f64 (sin.f64 k) l)) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 3 binary64))) (sin.f64 k))) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (cos.f64 k)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (tan.f64 k)) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (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 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (tan.f64 k)) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))))) (*.f64 l l))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))))) (*.f64 l l))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (tan.f64 k)) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (tan.f64 k)) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (tan.f64 k)) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (tan.f64 k)) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (/.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))))) #s(literal 1 binary64))
(*.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (tan.f64 k)) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (tan.f64 k)) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))) (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 3 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (tan.f64 k) (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)))) (sin.f64 k))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (tan.f64 k) (sin.f64 k))) (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (tan.f64 k)) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))) (tan.f64 k))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (sin.f64 k)) (*.f64 (tan.f64 k) (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64))))
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eval483.0ms (3.9%)

Memory
-13.8MiB live, 169.7MiB allocated; 25ms collecting garbage
Compiler

Compiled 38 223 to 4 143 computations (89.2% saved)

prune55.0ms (0.4%)

Memory
14.1MiB live, 61.5MiB allocated; 1ms collecting garbage
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New1 074221 096
Fresh000
Picked101
Done000
Total1 075221 097
Accuracy
95.3%
Counts
1 097 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.2%
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64))) (*.f64 (tan.f64 k) (sin.f64 k)))
46.6%
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))) (tan.f64 k))
59.3%
(/.f64 (/.f64 #s(literal 2 binary64) (tan.f64 k)) (*.f64 (*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64))) (sin.f64 k)))
34.9%
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))) (/.f64 (tan.f64 k) (*.f64 l l)) (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64))))))))
32.6%
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (tan.f64 k) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64))))) (+.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
46.5%
(/.f64 #s(literal 2 binary64) (*.f64 (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))))))
60.1%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))))))
60.9%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))))))
49.2%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (sin.f64 k)) (/.f64 (*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (tan.f64 k)) l)))
43.4%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (/.f64 (/.f64 (*.f64 (neg.f64 k) k) t) (neg.f64 t))))
27.7%
(/.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 k k) (*.f64 t t))))
26.2%
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
60.8%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))))))
37.9%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) k) l) (/.f64 k l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
58.8%
(/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (/.f64 (*.f64 t (/.f64 t l)) l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))))))
66.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
88.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
59.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) k) k #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
43.1%
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (*.f64 (cos.f64 k) l) l))
46.0%
#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) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
73.9%
#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) (cos.f64 k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (/.f64 (*.f64 l l) k)))
68.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #s(literal 2 binary64) l)))
Compiler

Compiled 1 316 to 932 computations (29.2% saved)

simplify0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series151.0ms (1.2%)

Memory
-12.3MiB live, 131.3MiB allocated; 16ms collecting garbage
Counts
49 → 114
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k)))))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
k
t
l
(/.f64 k (*.f64 l (cos.f64 k)))
(*.f64 l (cos.f64 k))
(cos.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #s(literal 2 binary64) l)))
(*.f64 (/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #s(literal 2 binary64) l))
(/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t))
(*.f64 (pow.f64 k #s(literal 4 binary64)) t)
(pow.f64 k #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 2 binary64) l)
(/.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)
(*.f64 l l)
(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 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))))))
(*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))))
(/.f64 t l)
(*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))))
(*.f64 t (/.f64 t l))
(*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(*.f64 (tan.f64 k) (sin.f64 k))
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (*.f64 (cos.f64 k) l) l))
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (pow.f64 t #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (pow.f64 t #s(literal 3 binary64)))
(*.f64 (*.f64 (cos.f64 k) l) l)
(*.f64 (cos.f64 k) l)
Outputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k (* t (pow (sin k) 2))) l)
(* k (* t (pow (sin k) 2)))
(* t (pow (sin k) 2))
t
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ l (* (pow k 4) t))
(* (pow k 4) t)
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (pow t 3) (pow l 2))
(pow t 3)
(/ (pow k 2) (pow t 2))
(/ (+ (pow k 2) (pow t 2)) (pow t 2))
(/ t l)
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (pow t 2) l)
(/ (* (pow k 2) (pow (sin k) 2)) (* (pow t 2) (cos k)))
(/ k t)
(/ 2 (* (pow k 2) (* t (pow (sin k) 2))))
(* 2 (/ (pow t 2) (pow k 2)))
(* (pow t 3) (pow (sin k) 2))
1
(+ 1 (/ (pow k 2) (pow t 2)))
l
(/ k (* l (cos k)))
(* l (cos k))
(* 2 l)
(pow l 2)
(* (pow l 2) (cos k))
(/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))
(/ (+ (* 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))
(/ (+ (* 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))
(/ (* (pow k 4) t) (pow l 2))
(* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))
(* (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))))
(* (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))))
(* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(/ (* (pow k 3) t) l)
(* (pow k 3) (+ (* -1/3 (/ (* (pow k 2) t) l)) (/ t l)))
(* (pow k 3) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* 2/45 (/ (* (pow k 2) t) l)))) (/ t l)))
(* (pow k 3) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) l)) (* 2/45 (/ t l)))))) (/ t l)))
(* (pow k 3) t)
(* (pow k 3) (+ t (* -1/3 (* (pow k 2) t))))
(* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))
(* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))
(* (pow k 2) t)
(* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))
(* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))
(* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))
(pow k 2)
(* (pow k 2) (+ 1 (* -1/3 (pow k 2))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))
k
(* k (+ 1 (* -1/6 (pow k 2))))
(* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))
(* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))
(/ k l)
(* k (+ (* 1/2 (/ (pow k 2) l)) (/ 1 l)))
(* k (+ (* (pow k 2) (+ (* 5/24 (/ (pow k 2) l)) (* 1/2 (/ 1 l)))) (/ 1 l)))
(* k (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 61/720 (/ (pow k 2) l)) (* 5/24 (/ 1 l)))) (* 1/2 (/ 1 l)))) (/ 1 l)))
(+ l (* -1/2 (* (pow k 2) l)))
(+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))
(+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))
(+ 1 (* -1/2 (pow k 2)))
(+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))
(+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))
(pow k 4)
(/ (* (pow k 2) (pow t 3)) (pow l 2))
(* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(* (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))))
(* (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))))
(/ (* k (pow t 3)) (pow l 2))
(* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(* 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))))
(* 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))))
(* k (+ 1 (* 1/3 (pow k 2))))
(* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))
(* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))
(/ (pow k 4) l)
(* (pow k 4) (+ (* 1/6 (/ (pow k 2) l)) (/ 1 l)))
(* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (pow k 2) l)) (* 1/6 (/ 1 l)))) (/ 1 l)))
(* (pow k 4) (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 173/5040 (/ (pow k 2) l)) (* 31/360 (/ 1 l)))) (* 1/6 (/ 1 l)))) (/ 1 l)))
(/ (pow k 4) (pow t 2))
(* (pow k 4) (+ (* 1/6 (/ (pow k 2) (pow t 2))) (/ 1 (pow t 2))))
(* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (pow k 2) (pow t 2))) (* 1/6 (/ 1 (pow t 2))))) (/ 1 (pow t 2))))
(* (pow k 4) (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 173/5040 (/ (pow k 2) (pow t 2))) (* 31/360 (/ 1 (pow t 2))))) (* 1/6 (/ 1 (pow t 2))))) (/ 1 (pow t 2))))
(* (pow k 2) (+ 1 (* 1/6 (pow k 2))))
(* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* 31/360 (pow k 2))))))
(* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* (pow k 2) (+ 31/360 (* 173/5040 (pow k 2))))))))
(/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))
(/ (+ (* 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))
(/ (+ (* 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))
(/ 2 (* (pow k 4) t))
(/ (+ (* 2/3 (/ (pow k 2) t)) (* 2 (/ 1 t))) (pow k 4))
(/ (+ (* (pow k 2) (+ (* 2/15 (/ (pow k 2) t)) (* 2/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 4))
(/ (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 4/189 (/ (pow k 2) t)) (* 2/15 (/ 1 t)))) (* 2/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 4))
(* (pow k 2) (pow t 3))
(* (pow k 2) (+ (* -1/3 (* (pow k 2) (pow t 3))) (pow t 3)))
(* (pow k 2) (+ (* (pow k 2) (+ (* -1/3 (pow t 3)) (* 2/45 (* (pow k 2) (pow t 3))))) (pow t 3)))
(* (pow k 2) (+ (* (pow k 2) (+ (* -1/3 (pow t 3)) (* (pow k 2) (+ (* -1/315 (* (pow k 2) (pow t 3))) (* 2/45 (pow t 3)))))) (pow t 3)))
(+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2))
(+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2))
(+ (* (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 (sin k) 2)
(sin k)
(cos k)
(/ (sin k) (cos k))
(* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))
(/ (pow (sin k) 2) (cos k))
Calls

9 calls:

TimeVariablePointExpression
32.0ms
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 (sin k) 2) t) k) l) (/ k (* l (cos k)))) (/ (* (* (pow (sin k) 2) t) k) l) (* (* (pow (sin k) 2) t) k) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) k t l (/ k (* l (cos k))) (* l (cos k)) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (pow k 4) t)) (* 2 l)) (/ l (* (pow k 4) t)) (* (pow k 4) t) (pow k 4) 4 (* 2 l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (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 (* l l) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2))))) (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2)))) (/ t l) (* (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2))) (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2)) (* (tan k) (sin k)) (pow (/ k t) 2) (/ k t) (* (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (* (* (cos k) l) l)) (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3)) (* (* (cos k) l) l) (* (cos k) l))
25.0ms
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 (sin k) 2) t) k) l) (/ k (* l (cos k)))) (/ (* (* (pow (sin k) 2) t) k) l) (* (* (pow (sin k) 2) t) k) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) k t l (/ k (* l (cos k))) (* l (cos k)) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (pow k 4) t)) (* 2 l)) (/ l (* (pow k 4) t)) (* (pow k 4) t) (pow k 4) 4 (* 2 l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (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 (* l l) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2))))) (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2)))) (/ t l) (* (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2))) (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2)) (* (tan k) (sin k)) (pow (/ k t) 2) (/ k t) (* (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (* (* (cos k) l) l)) (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3)) (* (* (cos k) l) l) (* (cos k) l))
24.0ms
l
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* (pow (sin k) 2) t) k) l) (/ k (* l (cos k)))) (/ (* (* (pow (sin k) 2) t) k) l) (* (* (pow (sin k) 2) t) k) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) k t l (/ k (* l (cos k))) (* l (cos k)) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (pow k 4) t)) (* 2 l)) (/ l (* (pow k 4) t)) (* (pow k 4) t) (pow k 4) 4 (* 2 l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (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 (* l l) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2))))) (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2)))) (/ t l) (* (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2))) (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2)) (* (tan k) (sin k)) (pow (/ k t) 2) (/ k t) (* (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (* (* (cos k) l) l)) (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3)) (* (* (cos k) l) l) (* (cos k) l))
18.0ms
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 (sin k) 2) t) k) l) (/ k (* l (cos k)))) (/ (* (* (pow (sin k) 2) t) k) l) (* (* (pow (sin k) 2) t) k) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) k t l (/ k (* l (cos k))) (* l (cos k)) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (pow k 4) t)) (* 2 l)) (/ l (* (pow k 4) t)) (* (pow k 4) t) (pow k 4) 4 (* 2 l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (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 (* l l) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2))))) (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2)))) (/ t l) (* (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2))) (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2)) (* (tan k) (sin k)) (pow (/ k t) 2) (/ k t) (* (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (* (* (cos k) l) l)) (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3)) (* (* (cos k) l) l) (* (cos k) l))
11.0ms
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 (sin k) 2) t) k) l) (/ k (* l (cos k)))) (/ (* (* (pow (sin k) 2) t) k) l) (* (* (pow (sin k) 2) t) k) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) k t l (/ k (* l (cos k))) (* l (cos k)) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (pow k 4) t)) (* 2 l)) (/ l (* (pow k 4) t)) (* (pow k 4) t) (pow k 4) 4 (* 2 l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (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 (* l l) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (/ 2 (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2))))) (* (/ t l) (* (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2)))) (/ t l) (* (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2))) (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2)) (* (tan k) (sin k)) (pow (/ k t) 2) (/ k t) (* (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (* (* (cos k) l) l)) (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3)) (* (* (cos k) l) l) (* (cos k) l))

simplify181.0ms (1.5%)

Memory
31.2MiB live, 116.2MiB allocated; 14ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04712116
118231940
080281806
Stop Event
iter limit
node limit
Counts
114 → 111
Calls
Call 1
Inputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k (* t (pow (sin k) 2))) l)
(* k (* t (pow (sin k) 2)))
(* t (pow (sin k) 2))
t
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ l (* (pow k 4) t))
(* (pow k 4) t)
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (pow t 3) (pow l 2))
(pow t 3)
(/ (pow k 2) (pow t 2))
(/ (+ (pow k 2) (pow t 2)) (pow t 2))
(/ t l)
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (pow t 2) l)
(/ (* (pow k 2) (pow (sin k) 2)) (* (pow t 2) (cos k)))
(/ k t)
(/ 2 (* (pow k 2) (* t (pow (sin k) 2))))
(* 2 (/ (pow t 2) (pow k 2)))
(* (pow t 3) (pow (sin k) 2))
1
(+ 1 (/ (pow k 2) (pow t 2)))
l
(/ k (* l (cos k)))
(* l (cos k))
(* 2 l)
(pow l 2)
(* (pow l 2) (cos k))
(/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))
(/ (+ (* 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))
(/ (+ (* 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))
(/ (* (pow k 4) t) (pow l 2))
(* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))
(* (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))))
(* (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))))
(* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(/ (* (pow k 3) t) l)
(* (pow k 3) (+ (* -1/3 (/ (* (pow k 2) t) l)) (/ t l)))
(* (pow k 3) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* 2/45 (/ (* (pow k 2) t) l)))) (/ t l)))
(* (pow k 3) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) l)) (* 2/45 (/ t l)))))) (/ t l)))
(* (pow k 3) t)
(* (pow k 3) (+ t (* -1/3 (* (pow k 2) t))))
(* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))
(* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))
(* (pow k 2) t)
(* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))
(* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))
(* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))
(pow k 2)
(* (pow k 2) (+ 1 (* -1/3 (pow k 2))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))
k
(* k (+ 1 (* -1/6 (pow k 2))))
(* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))
(* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))
(/ k l)
(* k (+ (* 1/2 (/ (pow k 2) l)) (/ 1 l)))
(* k (+ (* (pow k 2) (+ (* 5/24 (/ (pow k 2) l)) (* 1/2 (/ 1 l)))) (/ 1 l)))
(* k (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 61/720 (/ (pow k 2) l)) (* 5/24 (/ 1 l)))) (* 1/2 (/ 1 l)))) (/ 1 l)))
(+ l (* -1/2 (* (pow k 2) l)))
(+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))
(+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))
(+ 1 (* -1/2 (pow k 2)))
(+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))
(+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))
(pow k 4)
(/ (* (pow k 2) (pow t 3)) (pow l 2))
(* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(* (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))))
(* (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))))
(/ (* k (pow t 3)) (pow l 2))
(* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(* 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))))
(* 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))))
(* k (+ 1 (* 1/3 (pow k 2))))
(* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))
(* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))
(/ (pow k 4) l)
(* (pow k 4) (+ (* 1/6 (/ (pow k 2) l)) (/ 1 l)))
(* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (pow k 2) l)) (* 1/6 (/ 1 l)))) (/ 1 l)))
(* (pow k 4) (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 173/5040 (/ (pow k 2) l)) (* 31/360 (/ 1 l)))) (* 1/6 (/ 1 l)))) (/ 1 l)))
(/ (pow k 4) (pow t 2))
(* (pow k 4) (+ (* 1/6 (/ (pow k 2) (pow t 2))) (/ 1 (pow t 2))))
(* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (pow k 2) (pow t 2))) (* 1/6 (/ 1 (pow t 2))))) (/ 1 (pow t 2))))
(* (pow k 4) (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 173/5040 (/ (pow k 2) (pow t 2))) (* 31/360 (/ 1 (pow t 2))))) (* 1/6 (/ 1 (pow t 2))))) (/ 1 (pow t 2))))
(* (pow k 2) (+ 1 (* 1/6 (pow k 2))))
(* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* 31/360 (pow k 2))))))
(* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* (pow k 2) (+ 31/360 (* 173/5040 (pow k 2))))))))
(/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))
(/ (+ (* 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))
(/ (+ (* 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))
(/ 2 (* (pow k 4) t))
(/ (+ (* 2/3 (/ (pow k 2) t)) (* 2 (/ 1 t))) (pow k 4))
(/ (+ (* (pow k 2) (+ (* 2/15 (/ (pow k 2) t)) (* 2/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 4))
(/ (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 4/189 (/ (pow k 2) t)) (* 2/15 (/ 1 t)))) (* 2/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 4))
(* (pow k 2) (pow t 3))
(* (pow k 2) (+ (* -1/3 (* (pow k 2) (pow t 3))) (pow t 3)))
(* (pow k 2) (+ (* (pow k 2) (+ (* -1/3 (pow t 3)) (* 2/45 (* (pow k 2) (pow t 3))))) (pow t 3)))
(* (pow k 2) (+ (* (pow k 2) (+ (* -1/3 (pow t 3)) (* (pow k 2) (+ (* -1/315 (* (pow k 2) (pow t 3))) (* 2/45 (pow t 3)))))) (pow t 3)))
(+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2))
(+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2))
(+ (* (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 (sin k) 2)
(sin k)
(cos k)
(/ (sin k) (cos k))
(* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))
(/ (pow (sin k) 2) (cos k))
Outputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 (*.f64 k k) t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(* k (* t (pow (sin k) 2)))
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)
(* t (pow (sin k) 2))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
t
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t))
(* (pow k 4) t)
(*.f64 (pow.f64 k #s(literal 4 binary64)) t)
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* (pow t 3) (sin k)) (pow l 2))
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(/ (pow t 3) (pow l 2))
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(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64)) (*.f64 k k) #s(literal 1/6 binary64)) (*.f64 k k) #s(literal 1 binary64)) k) k)
(/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 k #s(literal 4 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))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 k k) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 l l) t) (*.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t)))) (*.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)))
(/ (+ (* 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))
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 k k) #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 1/18 binary64) (/.f64 (*.f64 l l) t) (*.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t)))) #s(literal -1/3 binary64) (fma.f64 #s(literal -1/315 binary64) (/.f64 (*.f64 l l) t) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/135 binary64))))) (*.f64 k k) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 l l) t) (*.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t))))) (*.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)))
(/ 2 (* (pow k 4) t))
(/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal 4 binary64)) t))
(/ (+ (* 2/3 (/ (pow k 2) t)) (* 2 (/ 1 t))) (pow k 4))
(/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (pow.f64 k #s(literal 4 binary64)))
(/ (+ (* (pow k 2) (+ (* 2/15 (/ (pow k 2) t)) (* 2/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 4))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 k k) #s(literal 2/3 binary64)) t) (*.f64 k k) (/.f64 #s(literal 2 binary64) t)) (pow.f64 k #s(literal 4 binary64)))
(/ (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 4/189 (/ (pow k 2) t)) (* 2/15 (/ 1 t)))) (* 2/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 4))
(/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 4/189 binary64) (*.f64 k k) #s(literal 2/15 binary64)) t) (*.f64 k k) (/.f64 #s(literal 2/3 binary64) t)) (*.f64 k k) (/.f64 #s(literal 2 binary64) t)) (pow.f64 k #s(literal 4 binary64)))
(* (pow k 2) (pow t 3))
(*.f64 (*.f64 k (pow.f64 t #s(literal 3 binary64))) k)
(* (pow k 2) (+ (* -1/3 (* (pow k 2) (pow t 3))) (pow t 3)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) (pow.f64 t #s(literal 3 binary64))) (*.f64 k k))
(* (pow k 2) (+ (* (pow k 2) (+ (* -1/3 (pow t 3)) (* 2/45 (* (pow k 2) (pow t 3))))) (pow t 3)))
(*.f64 (fma.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 k k) #s(literal -1/3 binary64))) (*.f64 k k) (pow.f64 t #s(literal 3 binary64))) (*.f64 k k))
(* (pow k 2) (+ (* (pow k 2) (+ (* -1/3 (pow t 3)) (* (pow k 2) (+ (* -1/315 (* (pow k 2) (pow t 3))) (* 2/45 (pow t 3)))))) (pow t 3)))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64))) (*.f64 k k) (*.f64 #s(literal -1/3 binary64) (pow.f64 t #s(literal 3 binary64)))) (*.f64 k k) (pow.f64 t #s(literal 3 binary64))) (*.f64 k k))
(+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 l l))
(+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2))
(fma.f64 (*.f64 (*.f64 l l) (fma.f64 #s(literal 1/24 binary64) (*.f64 k k) #s(literal -1/2 binary64))) (*.f64 k k) (*.f64 l l))
(+ (* (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))
(fma.f64 (fma.f64 (*.f64 (*.f64 l l) (fma.f64 #s(literal -1/720 binary64) (*.f64 k k) #s(literal 1/24 binary64))) (*.f64 k k) (*.f64 (*.f64 #s(literal -1/2 binary64) l) l)) (*.f64 k k) (*.f64 l l))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin k)
(sin.f64 k)
(cos k)
(cos.f64 k)
(/ (sin k) (cos k))
(/.f64 (sin.f64 k) (cos.f64 k))
(* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))
(fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64))
(/ (pow (sin k) 2) (cos k))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))

rewrite221.0ms (1.8%)

Memory
17.8MiB live, 208.0MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062483
0100483
1285473
21554463
08316463
Stop Event
iter limit
node limit
iter limit
Counts
49 → 1 035
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k)))))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
k
t
l
(/.f64 k (*.f64 l (cos.f64 k)))
(*.f64 l (cos.f64 k))
(cos.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #s(literal 2 binary64) l)))
(*.f64 (/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #s(literal 2 binary64) l))
(/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t))
(*.f64 (pow.f64 k #s(literal 4 binary64)) t)
(pow.f64 k #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 2 binary64) l)
(/.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)
(*.f64 l l)
(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 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))))))
(*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))))
(/.f64 t l)
(*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))))
(*.f64 t (/.f64 t l))
(*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(*.f64 (tan.f64 k) (sin.f64 k))
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (*.f64 (cos.f64 k) l) l))
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (pow.f64 t #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (pow.f64 t #s(literal 3 binary64)))
(*.f64 (*.f64 (cos.f64 k) l) l)
(*.f64 (cos.f64 k) l)
Outputs
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k))) (/.f64 k l)))))))
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k))) (/.f64 k l)))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k))) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k))) (/.f64 k l))))
(neg.f64 (/.f64 #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 t) l) (*.f64 (tan.f64 k) (sin.f64 k))) (/.f64 k l)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k))) (/.f64 k l)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (neg.f64 (cos.f64 k))) (/.f64 (neg.f64 k) l))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (neg.f64 l)) (/.f64 (neg.f64 k) (cos.f64 k)))
(*.f64 (/.f64 (neg.f64 k) (*.f64 l l)) (/.f64 (*.f64 (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 t)) (cos.f64 k)))
(*.f64 (/.f64 (neg.f64 k) (cos.f64 k)) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (neg.f64 l)))
(*.f64 (/.f64 (neg.f64 k) (cos.f64 k)) (/.f64 (*.f64 (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 t)) (*.f64 l l)))
(*.f64 (/.f64 (neg.f64 k) l) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (neg.f64 (cos.f64 k))))
(*.f64 (/.f64 (neg.f64 k) l) (/.f64 (*.f64 (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 t)) (*.f64 (cos.f64 k) l)))
(*.f64 (/.f64 (/.f64 k l) (neg.f64 l)) (/.f64 (*.f64 (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 t)) (cos.f64 k)))
(*.f64 (/.f64 (*.f64 (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 t)) (cos.f64 k)) (/.f64 (/.f64 k l) (neg.f64 l)))
(*.f64 (/.f64 (/.f64 k l) (neg.f64 (cos.f64 k))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) (neg.f64 l)))
(*.f64 (/.f64 (/.f64 k l) l) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) (cos.f64 k)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) (*.f64 (neg.f64 l) (cos.f64 k))) (/.f64 k (neg.f64 l)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (neg.f64 l) (cos.f64 k))) (/.f64 (*.f64 k k) (neg.f64 l)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 l l)) (/.f64 (*.f64 k k) (cos.f64 k)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (cos.f64 k) l)) (/.f64 (*.f64 k k) l))
(*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (neg.f64 l) (cos.f64 k))) (/.f64 (*.f64 (*.f64 k t) k) (neg.f64 l)))
(*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)) (/.f64 (*.f64 (*.f64 k t) k) (cos.f64 k)))
(*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (cos.f64 k) l)) (/.f64 (*.f64 (*.f64 k t) k) l))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) (*.f64 l l)) (/.f64 k (cos.f64 k)))
(*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (/.f64 (*.f64 (*.f64 k t) k) (*.f64 (cos.f64 k) l)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (/.f64 (*.f64 (/.f64 k l) k) l))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)) (/.f64 (*.f64 k k) (*.f64 l l)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (/.f64 (*.f64 (/.f64 k l) k) (cos.f64 k)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (/.f64 (*.f64 k k) (*.f64 (cos.f64 k) l)))
(*.f64 (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 k l))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) (neg.f64 l)) (/.f64 (/.f64 k l) (neg.f64 (cos.f64 k))))
(*.f64 (/.f64 (neg.f64 k) (*.f64 (cos.f64 k) l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) (neg.f64 l)))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (cos.f64 k)) (/.f64 k l))
(*.f64 (/.f64 k (cos.f64 k)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) (*.f64 l l)))
(*.f64 (/.f64 k (cos.f64 k)) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) l))
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) l) (/.f64 k (cos.f64 k)))
(*.f64 (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k))) (/.f64 k l))
(*.f64 (/.f64 k (*.f64 l l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) (cos.f64 k)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) (cos.f64 k)) (/.f64 (/.f64 k l) l))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) (cos.f64 k)) (/.f64 k (*.f64 l l)))
(*.f64 (/.f64 k l) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (cos.f64 k)))
(*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k))))
(*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) (*.f64 l l)))
(*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (/.f64 k (*.f64 (cos.f64 k) l)))
(*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) (/.f64 (/.f64 k (*.f64 (cos.f64 k) l)) l))
(*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) (/.f64 k (*.f64 (*.f64 (cos.f64 k) l) l)))
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k l) (/.f64 k (*.f64 (cos.f64 k) l))))
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(*.f64 (*.f64 l l) (cos.f64 k))
(*.f64 (*.f64 (cos.f64 k) l) l)
(*.f64 (cos.f64 k) (*.f64 l l))
(*.f64 l (*.f64 (cos.f64 k) l))
(neg.f64 (*.f64 (neg.f64 (cos.f64 k)) (*.f64 l l)))
(*.f64 (cos.f64 k) l)
(*.f64 l (cos.f64 k))

eval220.0ms (1.8%)

Memory
12.9MiB live, 380.7MiB allocated; 44ms collecting garbage
Compiler

Compiled 54 895 to 6 605 computations (88% saved)

prune70.0ms (0.6%)

Memory
-32.6MiB live, 164.3MiB allocated; 16ms collecting garbage
Pruning

40 alts after pruning (40 fresh and 0 done)

PrunedKeptTotal
New1 561371 598
Fresh14317
Picked505
Done000
Total1 580401 620
Accuracy
97.5%
Counts
1 620 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.1%
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 t l)) (*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (*.f64 (tan.f64 k) (sin.f64 k)))) (*.f64 (/.f64 t l) t))
68.6%
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 t)) l) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (*.f64 (tan.f64 k) (sin.f64 k))) (/.f64 t l)) (neg.f64 t)))
34.9%
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))) (/.f64 (tan.f64 k) (*.f64 l l)) (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64))))))))
68.4%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (*.f64 (tan.f64 k) (sin.f64 k))) (/.f64 t l)) t)))
70.0%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t)) (/.f64 k t)) (/.f64 k t))))
38.7%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k k) (*.f64 t t))))))
60.9%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 k t) (/.f64 k t))))))
51.9%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 #s(approx (* (tan k) (sin k)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) k) k)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))))))
78.7%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) #s(approx (* (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) k) (*.f64 (cos.f64 k) l)))))
33.6%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 t l) (*.f64 (/.f64 t l) t)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
29.0%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 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))))
28.0%
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (/.f64 (*.f64 k k) l))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
74.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 t)) (neg.f64 k)) (*.f64 (*.f64 (cos.f64 k) l) l))))
86.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) l)) l)))
72.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) #s(approx (/ k (* l (cos k))) (/.f64 k l)))))
81.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
71.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
70.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 k k) t) #s(literal -1/3 binary64) t) k) k)) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
72.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (neg.f64 k) (*.f64 l l)) (/.f64 (*.f64 (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 t)) (cos.f64 k)))))
91.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k))))))
96.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
94.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 k l))))
76.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) (*.f64 l l)))))
66.8%
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t)) (/.f64 k t))) (/.f64 l (/.f64 k t)))
55.9%
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t))) (/.f64 l (pow.f64 (/.f64 k t) #s(literal 2 binary64))))
72.1%
(*.f64 #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 k) l) l))
35.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 k #s(literal 4 binary64))))
46.0%
#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) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
69.9%
#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 #s(literal 2 binary64))) t))
25.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (pow.f64 (neg.f64 l) #s(literal 1 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #s(literal 2 binary64) l)))
60.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) t)))
63.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k))) (/.f64 #s(literal 2 binary64) (*.f64 k k))))
63.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t))))
66.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
72.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
73.9%
#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) (cos.f64 k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (/.f64 (*.f64 l l) k)))
68.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)) (*.f64 #s(literal 2 binary64) l)))
70.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l)))
68.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) t)) (*.f64 #s(literal 2 binary64) l)))
73.2%
#s(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 (*.f64 (cos.f64 k) l) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
Compiler

Compiled 3 008 to 2 068 computations (31.3% saved)

simplify0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

series123.0ms (1%)

Memory
5.3MiB live, 153.6MiB allocated; 27ms collecting garbage
Counts
50 → 102
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k)))))
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
k
(*.f64 t (/.f64 k l))
t
(/.f64 k l)
l
(/.f64 k (*.f64 l (cos.f64 k)))
(*.f64 l (cos.f64 k))
(cos.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l)))
(*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l))
(/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k)))
(*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))
(*.f64 t (*.f64 k k))
(*.f64 k k)
(*.f64 #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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 k #s(literal 4 binary64))))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 k #s(literal 4 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t)
(fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))
(*.f64 #s(literal -1/3 binary64) (*.f64 l l))
#s(literal -1/3 binary64)
(*.f64 l l)
(pow.f64 k #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 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) (/.f64 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 t t) (/.f64 t (*.f64 l l))) (sin.f64 k)) (tan.f64 k))
(*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (sin.f64 k))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(*.f64 t t)
(/.f64 t (*.f64 l l))
(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(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 k) l) l))
#s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t)
(/.f64 #s(literal 2 binary64) (*.f64 k k))
(*.f64 (*.f64 (cos.f64 k) l) l)
(*.f64 (cos.f64 k) l)
Outputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k t) l)
t
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ l (* (pow k 4) t))
(* (pow k 4) t)
(* (pow k 2) t)
(/ (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) (* (pow k 4) t))
(/ (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) t)
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (pow t 3) (pow l 2))
(pow t 2)
(/ t (pow l 2))
(/ (pow k 2) (pow t 2))
(/ (+ (pow k 2) (pow t 2)) (pow t 2))
(/ 2 (* (pow k 2) (* t (pow (sin k) 2))))
(/ 2 (* (pow k 2) t))
1
(+ 1 (/ (pow k 2) (pow t 2)))
(/ k l)
l
(/ k (* l (cos k)))
(* l (cos k))
(* 2 l)
(/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) (* (pow k 4) t))
(/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) t)
(* (pow l 2) (+ 2 (* -1/3 (pow k 2))))
(* -1/3 (* (pow k 2) (pow l 2)))
(* -1/3 (pow l 2))
(pow l 2)
(* (pow l 2) (cos k))
(/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))
(/ (+ (* 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))
(/ (+ (* 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))
(/ (* (pow k 4) t) (pow l 2))
(* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))
(* (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))))
(* (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))))
(* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(/ (* (pow k 3) t) l)
(* (pow k 3) (+ (* -1/3 (/ (* (pow k 2) t) l)) (/ t l)))
(* (pow k 3) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* 2/45 (/ (* (pow k 2) t) l)))) (/ t l)))
(* (pow k 3) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) l)) (* 2/45 (/ t l)))))) (/ t l)))
(pow k 2)
(* (pow k 2) (+ 1 (* -1/3 (pow k 2))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))
k
(* k (+ 1 (* -1/6 (pow k 2))))
(* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))
(* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))
(* k (+ (* 1/2 (/ (pow k 2) l)) (/ 1 l)))
(* k (+ (* (pow k 2) (+ (* 5/24 (/ (pow k 2) l)) (* 1/2 (/ 1 l)))) (/ 1 l)))
(* k (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 61/720 (/ (pow k 2) l)) (* 5/24 (/ 1 l)))) (* 1/2 (/ 1 l)))) (/ 1 l)))
(+ l (* -1/2 (* (pow k 2) l)))
(+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))
(+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))
(+ 1 (* -1/2 (pow k 2)))
(+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))
(+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))
(* 2 (/ (pow l 2) t))
(+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t)))
(* 2 (pow l 2))
(+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2)))
(pow k 4)
(/ (* (pow k 2) (pow t 3)) (pow l 2))
(* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(* (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))))
(* (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))))
(/ (* k (pow t 3)) (pow l 2))
(* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(* 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))))
(* 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))))
(* k (+ 1 (* 1/3 (pow k 2))))
(* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))
(* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))
(/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))
(/ (+ (* 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))
(/ (+ (* 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))
(/ 2 (* (pow k 4) t))
(/ (+ (* 2/3 (/ (pow k 2) t)) (* 2 (/ 1 t))) (pow k 4))
(/ (+ (* (pow k 2) (+ (* 2/15 (/ (pow k 2) t)) (* 2/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 4))
(/ (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 4/189 (/ (pow k 2) t)) (* 2/15 (/ 1 t)))) (* 2/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 4))
(/ 2 (pow k 2))
(+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2))
(+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2))
(+ (* (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 (sin k) 2)
(sin k)
(cos k)
(* -1/3 (/ (pow l 2) (* (pow k 2) t)))
(/ (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))) (pow k 2))
(* -1/3 (/ (* (pow k 2) (pow l 2)) t))
(* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))))
(* (pow k 2) (+ (* -1/3 (pow l 2)) (* 2 (/ (pow l 2) (pow k 2)))))
(/ (sin k) (cos k))
(* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))
Calls

9 calls:

TimeVariablePointExpression
27.0ms
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 (sin k) 2) (* t (/ k l))) (/ k (* l (cos k)))) (* (pow (sin k) 2) (* t (/ k l))) (pow (sin k) 2) (sin k) k (* t (/ k l)) t (/ k l) l (/ k (* l (cos k))) (* l (cos k)) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (* t (* k k)) (* k k))) (* 2 l)) (/ l (* (* t (* k k)) (* k k))) (* (* t (* k k)) (* k k)) (* t (* k k)) (* k k) (* 2 l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) (* (* -1/3 (* l l)) (* k k)) (* -1/3 (* l l)) -1/3 (* l l) (pow k 4) 4 (/ 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 (* l l)) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (* (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (* (* (cos k) l) l)) (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/ (/ (/ 2 (* k k)) t) (pow (sin k) 2)) (/ (/ 2 (* k k)) t) (/ 2 (* k k)) (* (* (cos k) l) l) (* (cos k) l))
23.0ms
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 (sin k) 2) (* t (/ k l))) (/ k (* l (cos k)))) (* (pow (sin k) 2) (* t (/ k l))) (pow (sin k) 2) (sin k) k (* t (/ k l)) t (/ k l) l (/ k (* l (cos k))) (* l (cos k)) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (* t (* k k)) (* k k))) (* 2 l)) (/ l (* (* t (* k k)) (* k k))) (* (* t (* k k)) (* k k)) (* t (* k k)) (* k k) (* 2 l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) (* (* -1/3 (* l l)) (* k k)) (* -1/3 (* l l)) -1/3 (* l l) (pow k 4) 4 (/ 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 (* l l)) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (* (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (* (* (cos k) l) l)) (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/ (/ (/ 2 (* k k)) t) (pow (sin k) 2)) (/ (/ 2 (* k k)) t) (/ 2 (* k k)) (* (* (cos k) l) l) (* (cos k) l))
19.0ms
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 (sin k) 2) (* t (/ k l))) (/ k (* l (cos k)))) (* (pow (sin k) 2) (* t (/ k l))) (pow (sin k) 2) (sin k) k (* t (/ k l)) t (/ k l) l (/ k (* l (cos k))) (* l (cos k)) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (* t (* k k)) (* k k))) (* 2 l)) (/ l (* (* t (* k k)) (* k k))) (* (* t (* k k)) (* k k)) (* t (* k k)) (* k k) (* 2 l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) (* (* -1/3 (* l l)) (* k k)) (* -1/3 (* l l)) -1/3 (* l l) (pow k 4) 4 (/ 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 (* l l)) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (* (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (* (* (cos k) l) l)) (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/ (/ (/ 2 (* k k)) t) (pow (sin k) 2)) (/ (/ 2 (* k k)) t) (/ 2 (* k k)) (* (* (cos k) l) l) (* (cos k) l))
9.0ms
k
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (pow (sin k) 2) (* t (/ k l))) (/ k (* l (cos k)))) (* (pow (sin k) 2) (* t (/ k l))) (pow (sin k) 2) (sin k) k (* t (/ k l)) t (/ k l) l (/ k (* l (cos k))) (* l (cos k)) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (* t (* k k)) (* k k))) (* 2 l)) (/ l (* (* t (* k k)) (* k k))) (* (* t (* k k)) (* k k)) (* t (* k k)) (* k k) (* 2 l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) (* (* -1/3 (* l l)) (* k k)) (* -1/3 (* l l)) -1/3 (* l l) (pow k 4) 4 (/ 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 (* l l)) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (* (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (* (* (cos k) l) l)) (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/ (/ (/ 2 (* k k)) t) (pow (sin k) 2)) (/ (/ 2 (* k k)) t) (/ 2 (* k k)) (* (* (cos k) l) l) (* (cos k) l))
9.0ms
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 (sin k) 2) (* t (/ k l))) (/ k (* l (cos k)))) (* (pow (sin k) 2) (* t (/ k l))) (pow (sin k) 2) (sin k) k (* t (/ k l)) t (/ k l) l (/ k (* l (cos k))) (* l (cos k)) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (* t (* k k)) (* k k))) (* 2 l)) (/ l (* (* t (* k k)) (* k k))) (* (* t (* k k)) (* k k)) (* t (* k k)) (* k k) (* 2 l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) (* (* -1/3 (* l l)) (* k k)) (* -1/3 (* l l)) -1/3 (* l l) (pow k 4) 4 (/ 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 (* l l)) (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (* (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (* (* (cos k) l) l)) (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/ (/ (/ 2 (* k k)) t) (pow (sin k) 2)) (/ (/ 2 (* k k)) t) (/ 2 (* k k)) (* (* (cos k) l) l) (* (cos k) l))

simplify182.0ms (1.5%)

Memory
26.1MiB live, 252.4MiB allocated; 24ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03981819
114881679
264551633
090991529
Stop Event
iter limit
node limit
Counts
102 → 99
Calls
Call 1
Inputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k t) l)
t
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ l (* (pow k 4) t))
(* (pow k 4) t)
(* (pow k 2) t)
(/ (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) (* (pow k 4) t))
(/ (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) t)
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (pow t 3) (pow l 2))
(pow t 2)
(/ t (pow l 2))
(/ (pow k 2) (pow t 2))
(/ (+ (pow k 2) (pow t 2)) (pow t 2))
(/ 2 (* (pow k 2) (* t (pow (sin k) 2))))
(/ 2 (* (pow k 2) t))
1
(+ 1 (/ (pow k 2) (pow t 2)))
(/ k l)
l
(/ k (* l (cos k)))
(* l (cos k))
(* 2 l)
(/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) (* (pow k 4) t))
(/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) t)
(* (pow l 2) (+ 2 (* -1/3 (pow k 2))))
(* -1/3 (* (pow k 2) (pow l 2)))
(* -1/3 (pow l 2))
(pow l 2)
(* (pow l 2) (cos k))
(/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))
(/ (+ (* 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))
(/ (+ (* 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))
(/ (* (pow k 4) t) (pow l 2))
(* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))
(* (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))))
(* (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))))
(* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(/ (* (pow k 3) t) l)
(* (pow k 3) (+ (* -1/3 (/ (* (pow k 2) t) l)) (/ t l)))
(* (pow k 3) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* 2/45 (/ (* (pow k 2) t) l)))) (/ t l)))
(* (pow k 3) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) l)) (* 2/45 (/ t l)))))) (/ t l)))
(pow k 2)
(* (pow k 2) (+ 1 (* -1/3 (pow k 2))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))
k
(* k (+ 1 (* -1/6 (pow k 2))))
(* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))
(* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))
(* k (+ (* 1/2 (/ (pow k 2) l)) (/ 1 l)))
(* k (+ (* (pow k 2) (+ (* 5/24 (/ (pow k 2) l)) (* 1/2 (/ 1 l)))) (/ 1 l)))
(* k (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 61/720 (/ (pow k 2) l)) (* 5/24 (/ 1 l)))) (* 1/2 (/ 1 l)))) (/ 1 l)))
(+ l (* -1/2 (* (pow k 2) l)))
(+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))
(+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))
(+ 1 (* -1/2 (pow k 2)))
(+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))
(+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))
(* 2 (/ (pow l 2) t))
(+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t)))
(* 2 (pow l 2))
(+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2)))
(pow k 4)
(/ (* (pow k 2) (pow t 3)) (pow l 2))
(* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(* (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))))
(* (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))))
(/ (* k (pow t 3)) (pow l 2))
(* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(* 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))))
(* 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))))
(* k (+ 1 (* 1/3 (pow k 2))))
(* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))
(* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))
(/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))
(/ (+ (* 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))
(/ (+ (* 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))
(/ 2 (* (pow k 4) t))
(/ (+ (* 2/3 (/ (pow k 2) t)) (* 2 (/ 1 t))) (pow k 4))
(/ (+ (* (pow k 2) (+ (* 2/15 (/ (pow k 2) t)) (* 2/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 4))
(/ (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 4/189 (/ (pow k 2) t)) (* 2/15 (/ 1 t)))) (* 2/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 4))
(/ 2 (pow k 2))
(+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2))
(+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2))
(+ (* (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 (sin k) 2)
(sin k)
(cos k)
(* -1/3 (/ (pow l 2) (* (pow k 2) t)))
(/ (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))) (pow k 2))
(* -1/3 (/ (* (pow k 2) (pow l 2)) t))
(* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))))
(* (pow k 2) (+ (* -1/3 (pow l 2)) (* 2 (/ (pow l 2) (pow k 2)))))
(/ (sin k) (cos k))
(* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))
Outputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (cos.f64 k) k) (/.f64 (*.f64 l l) k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 (*.f64 k t) k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(/ (* k t) l)
(/.f64 (*.f64 k t) l)
t
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t))
(* (pow k 4) t)
(*.f64 (pow.f64 k #s(literal 4 binary64)) t)
(* (pow k 2) t)
(*.f64 (*.f64 k t) k)
(/ (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) (* (pow k 4) t))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) (*.f64 (/.f64 l t) (/.f64 l (pow.f64 k #s(literal 4 binary64)))))
(/ (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) t)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 l l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)) (/.f64 (pow.f64 t #s(literal 3 binary64)) (cos.f64 k)))
(/ (* (pow t 3) (sin k)) (pow l 2))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(/ (pow t 3) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(pow t 2)
(*.f64 t t)
(/ t (pow l 2))
(/.f64 t (*.f64 l l))
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 k t) (/.f64 k t))
(/ (+ (pow k 2) (pow t 2)) (pow t 2))
(fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64))
(/ 2 (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 k k))
(/ 2 (* (pow k 2) t))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k t) k))
1
#s(literal 1 binary64)
(+ 1 (/ (pow k 2) (pow t 2)))
(fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64))
(/ k l)
(/.f64 k l)
l
(/ k (* l (cos k)))
(/.f64 k (*.f64 (cos.f64 k) l))
(* l (cos k))
(*.f64 (cos.f64 k) l)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) (* (pow k 4) t))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) (*.f64 (/.f64 l t) (/.f64 l (pow.f64 k #s(literal 4 binary64)))))
(/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) t)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 l l))
(* (pow l 2) (+ 2 (* -1/3 (pow k 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) l) l)
(* -1/3 (* (pow k 2) (pow l 2)))
(*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) k) k)
(* -1/3 (pow l 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 l l))
(pow l 2)
(*.f64 l l)
(* (pow l 2) (cos k))
(*.f64 (*.f64 (cos.f64 k) l) l)
(/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) (*.f64 (/.f64 l t) (/.f64 l (pow.f64 k #s(literal 4 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))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)) k) k) (*.f64 k k) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 l l))) (pow.f64 k #s(literal 4 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))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 l l) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 151/7560 binary64) (/.f64 (*.f64 l l) t) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/720 binary64)))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))) (pow.f64 k #s(literal 4 binary64)))) (pow.f64 k #s(literal 4 binary64)))
(/ (* (pow k 4) t) (pow l 2))
(*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))
(* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))
(*.f64 (/.f64 (fma.f64 (*.f64 k k) (*.f64 #s(literal 1/6 binary64) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 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))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.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)))
(* (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))))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 k k) (*.f64 #s(literal 1/6 binary64) t) t) (*.f64 l l)) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k t) k))) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))) (pow.f64 k #s(literal 4 binary64)))
(* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(*.f64 (/.f64 (fma.f64 (*.f64 k k) (*.f64 #s(literal 1/6 binary64) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))
(* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (/.f64 (fma.f64 #s(literal 1/24 binary64) t (*.f64 (*.f64 #s(literal 1/6 binary64) t) #s(literal -1/2 binary64))) (*.f64 l l))) (*.f64 k k) (*.f64 #s(literal 1/6 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))
(* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/315 binary64) (/.f64 t (*.f64 l l))) (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (/.f64 (fma.f64 #s(literal 1/24 binary64) t (*.f64 (*.f64 #s(literal 1/6 binary64) t) #s(literal -1/2 binary64))) (*.f64 l l))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) t)) (*.f64 l l)))) (*.f64 k k) (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 t (*.f64 l l))) (/.f64 (fma.f64 #s(literal 1/24 binary64) t (*.f64 (*.f64 #s(literal 1/6 binary64) t) #s(literal -1/2 binary64))) (*.f64 l l)))) (*.f64 k k) (*.f64 #s(literal 1/6 binary64) (/.f64 t (*.f64 l l)))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))
(/ (* (pow k 3) t) l)
(/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)
(* (pow k 3) (+ (* -1/3 (/ (* (pow k 2) t) l)) (/ t l)))
(*.f64 (/.f64 (fma.f64 (*.f64 k k) (*.f64 #s(literal -1/3 binary64) t) t) l) (pow.f64 k #s(literal 3 binary64)))
(* (pow k 3) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* 2/45 (/ (* (pow k 2) t) l)))) (/ t l)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) t (*.f64 #s(literal -1/3 binary64) t)) l) (*.f64 k k) (/.f64 t l)) (pow.f64 k #s(literal 3 binary64)))
(* (pow k 3) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) l)) (* 2/45 (/ t l)))))) (/ t l)))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 k k) (*.f64 #s(literal -1/3 binary64) t) t) l) (*.f64 (/.f64 (fma.f64 #s(literal 2/45 binary64) t (*.f64 (*.f64 #s(literal -1/315 binary64) (*.f64 k k)) t)) l) (pow.f64 k #s(literal 4 binary64)))) (pow.f64 k #s(literal 3 binary64)))
(pow k 2)
(*.f64 k k)
(* (pow k 2) (+ 1 (* -1/3 (pow k 2))))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 k #s(literal 4 binary64)) (*.f64 k k))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))
(fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 k k)) #s(literal 1/3 binary64)) (pow.f64 k #s(literal 4 binary64)) (*.f64 k k))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/315 binary64) (pow.f64 k #s(literal 4 binary64)) (*.f64 #s(literal 2/45 binary64) (*.f64 k k))) #s(literal 1/3 binary64)) (pow.f64 k #s(literal 4 binary64)) (*.f64 k k))
k
(* k (+ 1 (* -1/6 (pow k 2))))
(fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal -1/6 binary64) k)
(* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (pow.f64 k #s(literal 3 binary64)) k)
(* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 k #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 k k))) #s(literal 1/6 binary64)) (pow.f64 k #s(literal 3 binary64)) k)
(* k (+ (* 1/2 (/ (pow k 2) l)) (/ 1 l)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 k k) #s(literal 1 binary64)) l) k)
(* k (+ (* (pow k 2) (+ (* 5/24 (/ (pow k 2) l)) (* 1/2 (/ 1 l)))) (/ 1 l)))
(fma.f64 (/.f64 (fma.f64 #s(literal 5/24 binary64) (*.f64 k k) #s(literal 1/2 binary64)) l) (pow.f64 k #s(literal 3 binary64)) (/.f64 k l))
(* k (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 61/720 (/ (pow k 2) l)) (* 5/24 (/ 1 l)))) (* 1/2 (/ 1 l)))) (/ 1 l)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 61/720 binary64) (*.f64 k k) #s(literal 5/24 binary64)) l) (*.f64 k k) (/.f64 #s(literal 1/2 binary64) l)) (pow.f64 k #s(literal 3 binary64)) (/.f64 k l))
(+ l (* -1/2 (* (pow k 2) l)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)) l)
(+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/24 binary64) (*.f64 k k) #s(literal -1/2 binary64))) (*.f64 k k) l)
(+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 k #s(literal 4 binary64))) l (*.f64 l (fma.f64 #s(literal 1/24 binary64) (*.f64 k k) #s(literal -1/2 binary64)))) (*.f64 k k) l)
(+ 1 (* -1/2 (pow k 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))
(+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64))
(+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 k #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 k k))) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64))
(* 2 (/ (pow l 2) t))
(*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))
(+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 l l))
(* 2 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 2 binary64))
(+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) l) l)
(pow k 4)
(pow.f64 k #s(literal 4 binary64))
(/ (* (pow k 2) (pow t 3)) (pow l 2))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (/.f64 (*.f64 k k) l))
(* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 t #s(literal 3 binary64))) (*.f64 k k) (pow.f64 t #s(literal 3 binary64))) (*.f64 l l)) (*.f64 k k))
(* (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))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 31/360 binary64) (*.f64 k k)) (pow.f64 t #s(literal 3 binary64))) (*.f64 k k) (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 t #s(literal 3 binary64))) (*.f64 k k) (pow.f64 t #s(literal 3 binary64)))) (*.f64 l l)) (*.f64 k k))
(* (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))))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 t #s(literal 3 binary64))) (*.f64 k k) (pow.f64 t #s(literal 3 binary64))) (*.f64 l l)) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) (pow.f64 t #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 173/5040 binary64) (pow.f64 t #s(literal 3 binary64))) (*.f64 k k))) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))) (*.f64 k k))
(/ (* k (pow t 3)) (pow l 2))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (/.f64 k l))
(* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 t #s(literal 3 binary64))) (*.f64 k k) (pow.f64 t #s(literal 3 binary64))) (*.f64 l l)) k)
(* 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))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 k k) (*.f64 #s(literal 1/120 binary64) (pow.f64 t #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 t #s(literal 3 binary64)))) (*.f64 l l)) (*.f64 k k) (/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)) k)
(* 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))))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 t #s(literal 3 binary64))) (*.f64 k k) (pow.f64 t #s(literal 3 binary64))) (*.f64 l l)) (*.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 t #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 t #s(literal 3 binary64))) (*.f64 k k))) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))) k)
(* k (+ 1 (* 1/3 (pow k 2))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 k #s(literal 3 binary64)) k)
(* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 k k) #s(literal 1/3 binary64)) (pow.f64 k #s(literal 3 binary64)) k)
(* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))
(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)) (pow.f64 k #s(literal 3 binary64)) k)
(/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) (*.f64 (/.f64 l t) (/.f64 l (pow.f64 k #s(literal 4 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))
(/.f64 (fma.f64 (*.f64 (*.f64 k k) (*.f64 (*.f64 k k) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t) (*.f64 #s(literal -2/45 binary64) (/.f64 (*.f64 l l) t))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 l l) t))) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 l l))) (pow.f64 k #s(literal 4 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))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 l l) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t) (*.f64 #s(literal -2/45 binary64) (/.f64 (*.f64 l l) t))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 l l) t))) #s(literal -1/3 binary64) (fma.f64 #s(literal -1/315 binary64) (/.f64 (*.f64 l l) t) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/135 binary64))))) (*.f64 k k) (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t) (*.f64 #s(literal -2/45 binary64) (/.f64 (*.f64 l l) t))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 l l) t)))) #s(literal 2 binary64)) (pow.f64 k #s(literal 4 binary64)))) (pow.f64 k #s(literal 4 binary64)))
(/ 2 (* (pow k 4) t))
(/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal 4 binary64)) t))
(/ (+ (* 2/3 (/ (pow k 2) t)) (* 2 (/ 1 t))) (pow k 4))
(/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (pow.f64 k #s(literal 4 binary64)))
(/ (+ (* (pow k 2) (+ (* 2/15 (/ (pow k 2) t)) (* 2/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 4))
(/.f64 (/.f64 (fma.f64 #s(literal 2/15 binary64) (pow.f64 k #s(literal 4 binary64)) (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64))) t) (pow.f64 k #s(literal 4 binary64)))
(/ (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 4/189 (/ (pow k 2) t)) (* 2/15 (/ 1 t)))) (* 2/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 4))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 4/189 binary64) (*.f64 k k) #s(literal 2/15 binary64)) t) (pow.f64 k #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t)) (pow.f64 k #s(literal 4 binary64)))
(/ 2 (pow k 2))
(/.f64 #s(literal 2 binary64) (*.f64 k k))
(+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 l l))
(+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2))
(fma.f64 (*.f64 (*.f64 l l) (fma.f64 #s(literal 1/24 binary64) (*.f64 k k) #s(literal -1/2 binary64))) (*.f64 k k) (*.f64 l l))
(+ (* (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))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 l l) (*.f64 (*.f64 (*.f64 l l) (fma.f64 #s(literal -1/720 binary64) (*.f64 k k) #s(literal 1/24 binary64))) (pow.f64 k #s(literal 4 binary64))))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin k)
(sin.f64 k)
(cos k)
(cos.f64 k)
(* -1/3 (/ (pow l 2) (* (pow k 2) t)))
(*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.f64 (/.f64 l k) (/.f64 l k)))
(/ (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))) (pow k 2))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) k))) t) (*.f64 k k))
(* -1/3 (/ (* (pow k 2) (pow l 2)) t))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64)) k) k)
(* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) k))) t) (*.f64 k k))
(* (pow k 2) (+ (* -1/3 (pow l 2)) (* 2 (/ (pow l 2) (pow k 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) k))) (*.f64 k k))
(/ (sin k) (cos k))
(/.f64 (sin.f64 k) (cos.f64 k))
(* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))
(fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 1 binary64))

rewrite206.0ms (1.7%)

Memory
10.2MiB live, 304.8MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068568
0108542
1340524
22004520
08397520
Stop Event
iter limit
node limit
iter limit
Counts
50 → 864
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k)))))
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
k
(*.f64 t (/.f64 k l))
t
(/.f64 k l)
l
(/.f64 k (*.f64 l (cos.f64 k)))
(*.f64 l (cos.f64 k))
(cos.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l)))
(*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l))
(/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k)))
(*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))
(*.f64 t (*.f64 k k))
(*.f64 k k)
(*.f64 #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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 k #s(literal 4 binary64))))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 k #s(literal 4 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t)
(fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))
(*.f64 #s(literal -1/3 binary64) (*.f64 l l))
#s(literal -1/3 binary64)
(*.f64 l l)
(pow.f64 k #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 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) (/.f64 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 t t) (/.f64 t (*.f64 l l))) (sin.f64 k)) (tan.f64 k))
(*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (sin.f64 k))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(*.f64 t t)
(/.f64 t (*.f64 l l))
(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(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 k) l) l))
#s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t)
(/.f64 #s(literal 2 binary64) (*.f64 k k))
(*.f64 (*.f64 (cos.f64 k) l) l)
(*.f64 (cos.f64 k) l)
Outputs
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 k l)))))))
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 k l)))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 k l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 k l))))
(neg.f64 (/.f64 #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 (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 k l)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 k l)))
(*.f64 (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 k l))
(*.f64 (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 (/.f64 k l) t))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)) (cos.f64 k)) (/.f64 k l))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)) l) (/.f64 k (cos.f64 k)))
(*.f64 (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (/.f64 k l) t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k l) (/.f64 (/.f64 k (cos.f64 k)) l)))
(*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)))
(*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)) (/.f64 (/.f64 k (cos.f64 k)) l))
(*.f64 (*.f64 (/.f64 k l) t) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 (/.f64 k (cos.f64 k)) l)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (/.f64 k l) t)))
(*.f64 (sin.f64 k) (*.f64 (sin.f64 k) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (/.f64 k l) t))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k l) k)) (cos.f64 k))) (neg.f64 l))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k l) k)) l)) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (*.f64 (neg.f64 k) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)))) (neg.f64 (*.f64 (neg.f64 l) (cos.f64 k))))
(/.f64 (neg.f64 (*.f64 (/.f64 k l) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)))) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)) (neg.f64 k))) (neg.f64 (*.f64 (neg.f64 l) (cos.f64 k))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)) (/.f64 k l))) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k l) k)))) (neg.f64 (*.f64 (neg.f64 l) (cos.f64 k))))
(/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k l) k)) (cos.f64 k)) l)
(/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k l) k)) l) (cos.f64 k))
(/.f64 (*.f64 (neg.f64 k) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l))) (*.f64 (neg.f64 l) (cos.f64 k)))
(/.f64 (*.f64 (/.f64 k l) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l))) (cos.f64 k))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)) (neg.f64 k)) (*.f64 (neg.f64 l) (cos.f64 k)))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)) (/.f64 k l)) (cos.f64 k))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k l) k))) (*.f64 (neg.f64 l) (cos.f64 k)))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k l) k)) (*.f64 (cos.f64 k) l))
(*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k))
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 k l)) t)
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l))
(*.f64 (*.f64 (/.f64 k l) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(*.f64 (/.f64 k l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) t))
(*.f64 (sin.f64 k) (*.f64 (sin.f64 k) (*.f64 (/.f64 k l) t)))
(*.f64 t (*.f64 (/.f64 k l) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (neg.f64 k))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k t))) (neg.f64 l))
(/.f64 (*.f64 (*.f64 k t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (neg.f64 k)) (neg.f64 l))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k t)) l)
(*.f64 (neg.f64 (neg.f64 (sin.f64 k))) (neg.f64 (neg.f64 (sin.f64 k))))
(*.f64 (pow.f64 (neg.f64 (sin.f64 k)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sin.f64 k)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sin.f64 k)) (neg.f64 (sin.f64 k)))
(*.f64 (sin.f64 k) (sin.f64 k))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 k)))
(pow.f64 (neg.f64 (sin.f64 k)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
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(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 k k) t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) t)) (*.f64 (neg.f64 k) k))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k t)) k)
(/.f64 (/.f64 #s(literal 2 binary64) t) (*.f64 k k))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) k)) (neg.f64 (*.f64 k t)))
(/.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 k t))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 k k)) (neg.f64 (neg.f64 (neg.f64 t))))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 k k)) (neg.f64 t))
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (neg.f64 k) k) t))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 k k) t)))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (neg.f64 (neg.f64 t)))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t)
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (*.f64 (neg.f64 k) k) t)))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 k k) t))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 k k) t)))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (neg.f64 k))) (neg.f64 (neg.f64 k)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) k))) (neg.f64 (neg.f64 k)))
(/.f64 (/.f64 #s(literal 2 binary64) (neg.f64 k)) (neg.f64 k))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) k)) (neg.f64 k))
(/.f64 (/.f64 #s(literal 2 binary64) k) k)
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 k) k))
(/.f64 #s(literal 2 binary64) (*.f64 k k))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 k k)))
(*.f64 (*.f64 (neg.f64 l) (cos.f64 k)) (neg.f64 l))
(*.f64 (*.f64 (cos.f64 k) l) l)
(*.f64 (*.f64 l l) (cos.f64 k))
(*.f64 (cos.f64 k) (*.f64 l l))
(*.f64 l (*.f64 (cos.f64 k) l))
(*.f64 (cos.f64 k) l)
(*.f64 l (cos.f64 k))

eval313.0ms (2.5%)

Memory
27.2MiB live, 607.9MiB allocated; 218ms collecting garbage
Compiler

Compiled 75 902 to 7 342 computations (90.3% saved)

prune149.0ms (1.2%)

Memory
-69.3MiB live, 361.3MiB allocated; 94ms collecting garbage
Pruning

54 alts after pruning (53 fresh and 1 done)

PrunedKeptTotal
New1 591321 623
Fresh142135
Picked415
Done000
Total1 609541 663
Accuracy
99.6%
Counts
1 663 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.1%
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 t l)) (*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (*.f64 (tan.f64 k) (sin.f64 k)))) (*.f64 (/.f64 t l) t))
68.4%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (*.f64 (tan.f64 k) (sin.f64 k))) (/.f64 t l)) t)))
70.0%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t)) (/.f64 k t)) (/.f64 k t))))
38.7%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k k) (*.f64 t t))))))
60.9%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 k t) (/.f64 k t))))))
29.0%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 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))))
94.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 k l) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l))) (cos.f64 k))))
86.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) l)) l)))
72.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) #s(approx (/ k (* l (cos k))) (/.f64 k l)))))
71.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
70.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 k k) t) #s(literal -1/3 binary64) t) k) k)) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
91.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k))))))
94.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 k l))))
85.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
98.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))))
76.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) (*.f64 l l)))))
74.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
98.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (sin.f64 k) (*.f64 (sin.f64 k) (*.f64 (/.f64 (/.f64 k (cos.f64 k)) l) (*.f64 (/.f64 k l) t))))))
66.8%
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t)) (/.f64 k t))) (/.f64 l (/.f64 k t)))
55.9%
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t))) (/.f64 l (pow.f64 (/.f64 k t) #s(literal 2 binary64))))
85.3%
(*.f64 (*.f64 (*.f64 (cos.f64 k) l) #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 k (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))))) l)
65.7%
(*.f64 #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (*.f64 (*.f64 (cos.f64 k) l) l))
72.1%
(*.f64 #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) (*.f64 (*.f64 (cos.f64 k) l) l))
71.9%
(*.f64 #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))) (*.f64 (*.f64 (cos.f64 k) l) l))
52.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 l l) #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
35.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
35.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
42.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) l) (*.f64 l (*.f64 k k)))) t) (pow.f64 k #s(literal 4 binary64))))
46.0%
#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) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
69.9%
#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 #s(literal 2 binary64))) t))
72.5%
#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) t)) (*.f64 l #s(literal 2 binary64))) (*.f64 k k)))
51.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) (*.f64 (/.f64 l t) (/.f64 l (pow.f64 k #s(literal 4 binary64))))))
71.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (*.f64 #s(literal 2 binary64) l)))
71.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)))
63.2%
#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)) t) (/.f64 (*.f64 l l) (*.f64 k k))))
70.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (sqrt.f64 l) (sqrt.f64 l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l)))
60.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) t)))
63.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t))))
72.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (/.f64 l (*.f64 k k))))
73.9%
#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) (cos.f64 k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (/.f64 (*.f64 l l) k)))
70.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 k)) (neg.f64 k))) (*.f64 #s(literal 2 binary64) l)))
70.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l)))
70.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l)))
68.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)) (*.f64 #s(literal 2 binary64) l)))
58.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (sqrt.f64 (*.f64 t t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l)))
69.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (exp.f64 (log.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l)))
70.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l)))
70.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
69.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 l) #s(literal 1 binary64))))))
69.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) l)))
68.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) t)) (*.f64 #s(literal 2 binary64) l)))
73.5%
#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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (cos.f64 k) k) (/.f64 (*.f64 l l) k))))
64.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) k))) t) (*.f64 k k))))
26.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.f64 (/.f64 l k) (/.f64 l k)))))
Compiler

Compiled 4 405 to 2 968 computations (32.6% saved)

simplify0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

series100.0ms (0.8%)

Memory
4.4MiB live, 241.0MiB allocated; 11ms collecting garbage
Counts
52 → 106
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k)))))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))
(*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k))
(*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k))
(*.f64 (/.f64 k l) t)
(/.f64 k l)
k
l
t
(sin.f64 k)
(/.f64 k (*.f64 l (cos.f64 k)))
(*.f64 l (cos.f64 k))
(cos.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
(*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l))
(/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k)))
(*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))
(*.f64 t (*.f64 k k))
(*.f64 k k)
(+.f64 l l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l)))
(*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l))
(/.f64 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 k k)) (*.f64 k k)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 k k)) (*.f64 k k))
(*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 k k))
(*.f64 (sqrt.f64 t) (sqrt.f64 t))
(sqrt.f64 t)
(*.f64 #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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t)
(fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))
(*.f64 #s(literal -1/3 binary64) (*.f64 l l))
#s(literal -1/3 binary64)
(*.f64 l l)
(pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))
(*.f64 (sqrt.f64 k) (sqrt.f64 k))
(sqrt.f64 k)
#s(literal 4 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t)) (/.f64 k t)) (/.f64 k t))))
(*.f64 (/.f64 t l) (*.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t)) (/.f64 k t)) (/.f64 k t)))
(/.f64 t l)
(*.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t)) (/.f64 k t)) (/.f64 k t))
(*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t)) (/.f64 k t))
(*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t))
(*.f64 (tan.f64 k) (sin.f64 k))
(tan.f64 k)
(*.f64 (/.f64 t l) t)
(/.f64 k t)
Outputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (sin k))) l)
(/ (* k t) l)
t
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ l (* (pow k 4) t))
(* (pow k 4) t)
(* (pow k 2) t)
(sqrt t)
(/ (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) (* (pow k 4) t))
(/ (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) t)
(/ t l)
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* k (* t (pow (sin k) 2))) (* l (cos k)))
(/ (* (pow t 2) (pow (sin k) 2)) (* l (cos k)))
(/ (pow t 2) l)
(/ k t)
(* -2 (/ (pow l 2) (* (pow k 4) (* t (pow (sqrt -1) 2)))))
(* -1 (/ l (* (pow k 4) (* t (pow (sqrt -1) 2)))))
(* -1 (* (pow k 4) (* t (pow (sqrt -1) 2))))
(* -1 (* (pow k 2) (* t (pow (sqrt -1) 2))))
(* -1 (* t (pow (sqrt -1) 2)))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(/ k l)
l
(/ k (* l (cos k)))
(* l (cos k))
(* 2 l)
(/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) (* (pow k 4) t))
(/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) t)
(* (pow l 2) (+ 2 (* -1/3 (pow k 2))))
(* -1/3 (* (pow k 2) (pow l 2)))
(* -1/3 (pow l 2))
(pow l 2)
(/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))
(/ (+ (* 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))
(/ (+ (* 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))
(/ (* (pow k 4) t) (pow l 2))
(* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))
(* (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))))
(* (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))))
(* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(/ (* (pow k 3) t) l)
(* (pow k 3) (+ (* -1/3 (/ (* (pow k 2) t) l)) (/ t l)))
(* (pow k 3) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* 2/45 (/ (* (pow k 2) t) l)))) (/ t l)))
(* (pow k 3) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) l)) (* 2/45 (/ t l)))))) (/ t l)))
(/ (* (pow k 2) t) l)
(* (pow k 2) (+ (* -1/6 (/ (* (pow k 2) t) l)) (/ t l)))
(* (pow k 2) (+ (* (pow k 2) (+ (* -1/6 (/ t l)) (* 1/120 (/ (* (pow k 2) t) l)))) (/ t l)))
(* (pow k 2) (+ (* (pow k 2) (+ (* -1/6 (/ t l)) (* (pow k 2) (+ (* -1/5040 (/ (* (pow k 2) t) l)) (* 1/120 (/ t l)))))) (/ t l)))
k
(* k (+ 1 (* -1/6 (pow k 2))))
(* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))
(* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))
(* k (+ (* 1/2 (/ (pow k 2) l)) (/ 1 l)))
(* k (+ (* (pow k 2) (+ (* 5/24 (/ (pow k 2) l)) (* 1/2 (/ 1 l)))) (/ 1 l)))
(* k (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 61/720 (/ (pow k 2) l)) (* 5/24 (/ 1 l)))) (* 1/2 (/ 1 l)))) (/ 1 l)))
(+ l (* -1/2 (* (pow k 2) l)))
(+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))
(+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))
1
(+ 1 (* -1/2 (pow k 2)))
(+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))
(+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))
(pow k 2)
(* 2 (/ (pow l 2) t))
(+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t)))
(* 2 (pow l 2))
(+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2)))
(pow k 4)
(sqrt k)
(/ (pow k 4) l)
(* (pow k 4) (+ (* 1/6 (/ (pow k 2) l)) (/ 1 l)))
(* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (pow k 2) l)) (* 1/6 (/ 1 l)))) (/ 1 l)))
(* (pow k 4) (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 173/5040 (/ (pow k 2) l)) (* 31/360 (/ 1 l)))) (* 1/6 (/ 1 l)))) (/ 1 l)))
(* (pow k 3) (+ (* 1/6 (/ (* (pow k 2) t) l)) (/ t l)))
(* (pow k 3) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) l)) (* 1/6 (/ t l)))) (/ t l)))
(* (pow k 3) (+ (* (pow k 2) (+ (* 1/6 (/ t l)) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) l)) (* 31/360 (/ t l)))))) (/ t l)))
(/ (* (pow k 2) (pow t 2)) l)
(* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 2)) l)) (/ (pow t 2) l)))
(* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) (pow t 2)) l)) (* 1/6 (/ (pow t 2) l)))) (/ (pow t 2) l)))
(* (pow k 2) (+ (* (pow k 2) (+ (* 1/6 (/ (pow t 2) l)) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) (pow t 2)) l)) (* 31/360 (/ (pow t 2) l)))))) (/ (pow t 2) l)))
(* (pow k 2) (+ 1 (* 1/6 (pow k 2))))
(* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* 31/360 (pow k 2))))))
(* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* (pow k 2) (+ 31/360 (* 173/5040 (pow k 2))))))))
(* k (+ 1 (* 1/3 (pow k 2))))
(* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))
(* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))
(sin k)
(cos k)
(* -1/3 (/ (pow l 2) (* (pow k 2) t)))
(/ (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))) (pow k 2))
(* -1/3 (/ (* (pow k 2) (pow l 2)) t))
(* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))))
(* (pow k 2) (+ (* -1/3 (pow l 2)) (* 2 (/ (pow l 2) (pow k 2)))))
(/ (pow (sin k) 2) (cos k))
(/ (sin k) (cos k))
(* -1/3 (/ (pow l 2) (* (pow k 2) (* t (pow (sqrt -1) 8)))))
(/ (+ (* -1/3 (/ (pow l 2) (* t (pow (sqrt -1) 8)))) (* 2 (/ (pow l 2) (* (pow k 2) (* t (pow (sqrt -1) 8)))))) (pow k 2))
(* (pow k 4) (pow (sqrt -1) 8))
(* -1 (* k (pow (sqrt -1) 2)))
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
Calls

9 calls:

TimeVariablePointExpression
14.0ms
t
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (* (/ k l) t) (sin k)) (sin k)) (/ k (* l (cos k)))) (* (* (* (/ k l) t) (sin k)) (sin k)) (* (* (/ k l) t) (sin k)) (* (/ k l) t) (/ k l) k l t (sin k) (/ k (* l (cos k))) (* l (cos k)) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (* t (* k k)) (* k k))) (+ l l)) (/ l (* (* t (* k k)) (* k k))) (* (* t (* k k)) (* k k)) (* t (* k k)) (* k k) (+ l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (* (* (sqrt t) (sqrt t)) (* k k)) (* k k))) (* 2 l)) (/ l (* (* (* (sqrt t) (sqrt t)) (* k k)) (* k k))) (* (* (* (sqrt t) (sqrt t)) (* k k)) (* k k)) (* (* (sqrt t) (sqrt t)) (* k k)) (* (sqrt t) (sqrt t)) (sqrt t) (* 2 l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) (* (* -1/3 (* l l)) (* k k)) (* -1/3 (* l l)) -1/3 (* l l) (pow (* (sqrt k) (sqrt k)) 4) (* (sqrt k) (sqrt k)) (sqrt k) 4 (/ 2 (* (/ t l) (* (* (* (* (tan k) (sin k)) (* (/ t l) t)) (/ k t)) (/ k t)))) (* (/ t l) (* (* (* (* (tan k) (sin k)) (* (/ t l) t)) (/ k t)) (/ k t))) (/ t l) (* (* (* (* (tan k) (sin k)) (* (/ t l) t)) (/ k t)) (/ k t)) (* (* (* (tan k) (sin k)) (* (/ t l) t)) (/ k t)) (* (* (tan k) (sin k)) (* (/ t l) t)) (* (tan k) (sin k)) (tan k) (* (/ t l) t) (/ k t))
13.0ms
k
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (* (/ k l) t) (sin k)) (sin k)) (/ k (* l (cos k)))) (* (* (* (/ k l) t) (sin k)) (sin k)) (* (* (/ k l) t) (sin k)) (* (/ k l) t) (/ k l) k l t (sin k) (/ k (* l (cos k))) (* l (cos k)) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (* t (* k k)) (* k k))) (+ l l)) (/ l (* (* t (* k k)) (* k k))) (* (* t (* k k)) (* k k)) (* t (* k k)) (* k k) (+ l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (* (* (sqrt t) (sqrt t)) (* k k)) (* k k))) (* 2 l)) (/ l (* (* (* (sqrt t) (sqrt t)) (* k k)) (* k k))) (* (* (* (sqrt t) (sqrt t)) (* k k)) (* k k)) (* (* (sqrt t) (sqrt t)) (* k k)) (* (sqrt t) (sqrt t)) (sqrt t) (* 2 l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) (* (* -1/3 (* l l)) (* k k)) (* -1/3 (* l l)) -1/3 (* l l) (pow (* (sqrt k) (sqrt k)) 4) (* (sqrt k) (sqrt k)) (sqrt k) 4 (/ 2 (* (/ t l) (* (* (* (* (tan k) (sin k)) (* (/ t l) t)) (/ k t)) (/ k t)))) (* (/ t l) (* (* (* (* (tan k) (sin k)) (* (/ t l) t)) (/ k t)) (/ k t))) (/ t l) (* (* (* (* (tan k) (sin k)) (* (/ t l) t)) (/ k t)) (/ k t)) (* (* (* (tan k) (sin k)) (* (/ t l) t)) (/ k t)) (* (* (tan k) (sin k)) (* (/ t l) t)) (* (tan k) (sin k)) (tan k) (* (/ t l) t) (/ k t))
12.0ms
l
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (* (/ k l) t) (sin k)) (sin k)) (/ k (* l (cos k)))) (* (* (* (/ k l) t) (sin k)) (sin k)) (* (* (/ k l) t) (sin k)) (* (/ k l) t) (/ k l) k l t (sin k) (/ k (* l (cos k))) (* l (cos k)) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (* t (* k k)) (* k k))) (+ l l)) (/ l (* (* t (* k k)) (* k k))) (* (* t (* k k)) (* k k)) (* t (* k k)) (* k k) (+ l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (* (* (sqrt t) (sqrt t)) (* k k)) (* k k))) (* 2 l)) (/ l (* (* (* (sqrt t) (sqrt t)) (* k k)) (* k k))) (* (* (* (sqrt t) (sqrt t)) (* k k)) (* k k)) (* (* (sqrt t) (sqrt t)) (* k k)) (* (sqrt t) (sqrt t)) (sqrt t) (* 2 l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) (* (* -1/3 (* l l)) (* k k)) (* -1/3 (* l l)) -1/3 (* l l) (pow (* (sqrt k) (sqrt k)) 4) (* (sqrt k) (sqrt k)) (sqrt k) 4 (/ 2 (* (/ t l) (* (* (* (* (tan k) (sin k)) (* (/ t l) t)) (/ k t)) (/ k t)))) (* (/ t l) (* (* (* (* (tan k) (sin k)) (* (/ t l) t)) (/ k t)) (/ k t))) (/ t l) (* (* (* (* (tan k) (sin k)) (* (/ t l) t)) (/ k t)) (/ k t)) (* (* (* (tan k) (sin k)) (* (/ t l) t)) (/ k t)) (* (* (tan k) (sin k)) (* (/ t l) t)) (* (tan k) (sin k)) (tan k) (* (/ t l) t) (/ k t))
11.0ms
l
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (* (/ k l) t) (sin k)) (sin k)) (/ k (* l (cos k)))) (* (* (* (/ k l) t) (sin k)) (sin k)) (* (* (/ k l) t) (sin k)) (* (/ k l) t) (/ k l) k l t (sin k) (/ k (* l (cos k))) (* l (cos k)) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (* t (* k k)) (* k k))) (+ l l)) (/ l (* (* t (* k k)) (* k k))) (* (* t (* k k)) (* k k)) (* t (* k k)) (* k k) (+ l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (* (* (sqrt t) (sqrt t)) (* k k)) (* k k))) (* 2 l)) (/ l (* (* (* (sqrt t) (sqrt t)) (* k k)) (* k k))) (* (* (* (sqrt t) (sqrt t)) (* k k)) (* k k)) (* (* (sqrt t) (sqrt t)) (* k k)) (* (sqrt t) (sqrt t)) (sqrt t) (* 2 l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) (* (* -1/3 (* l l)) (* k k)) (* -1/3 (* l l)) -1/3 (* l l) (pow (* (sqrt k) (sqrt k)) 4) (* (sqrt k) (sqrt k)) (sqrt k) 4 (/ 2 (* (/ t l) (* (* (* (* (tan k) (sin k)) (* (/ t l) t)) (/ k t)) (/ k t)))) (* (/ t l) (* (* (* (* (tan k) (sin k)) (* (/ t l) t)) (/ k t)) (/ k t))) (/ t l) (* (* (* (* (tan k) (sin k)) (* (/ t l) t)) (/ k t)) (/ k t)) (* (* (* (tan k) (sin k)) (* (/ t l) t)) (/ k t)) (* (* (tan k) (sin k)) (* (/ t l) t)) (* (tan k) (sin k)) (tan k) (* (/ t l) t) (/ k t))
10.0ms
l
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (* (/ k l) t) (sin k)) (sin k)) (/ k (* l (cos k)))) (* (* (* (/ k l) t) (sin k)) (sin k)) (* (* (/ k l) t) (sin k)) (* (/ k l) t) (/ k l) k l t (sin k) (/ k (* l (cos k))) (* l (cos k)) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (* t (* k k)) (* k k))) (+ l l)) (/ l (* (* t (* k k)) (* k k))) (* (* t (* k k)) (* k k)) (* t (* k k)) (* k k) (+ l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (* (* (sqrt t) (sqrt t)) (* k k)) (* k k))) (* 2 l)) (/ l (* (* (* (sqrt t) (sqrt t)) (* k k)) (* k k))) (* (* (* (sqrt t) (sqrt t)) (* k k)) (* k k)) (* (* (sqrt t) (sqrt t)) (* k k)) (* (sqrt t) (sqrt t)) (sqrt t) (* 2 l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) (* (* -1/3 (* l l)) (* k k)) (* -1/3 (* l l)) -1/3 (* l l) (pow (* (sqrt k) (sqrt k)) 4) (* (sqrt k) (sqrt k)) (sqrt k) 4 (/ 2 (* (/ t l) (* (* (* (* (tan k) (sin k)) (* (/ t l) t)) (/ k t)) (/ k t)))) (* (/ t l) (* (* (* (* (tan k) (sin k)) (* (/ t l) t)) (/ k t)) (/ k t))) (/ t l) (* (* (* (* (tan k) (sin k)) (* (/ t l) t)) (/ k t)) (/ k t)) (* (* (* (tan k) (sin k)) (* (/ t l) t)) (/ k t)) (* (* (tan k) (sin k)) (* (/ t l) t)) (* (tan k) (sin k)) (tan k) (* (/ t l) t) (/ k t))

simplify222.0ms (1.8%)

Memory
16.0MiB live, 233.2MiB allocated; 52ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03881677
114631545
263071500
085351408
Stop Event
iter limit
node limit
Counts
106 → 103
Calls
Call 1
Inputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k (* t (pow (sin k) 2))) l)
(/ (* k (* t (sin k))) l)
(/ (* k t) l)
t
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ l (* (pow k 4) t))
(* (pow k 4) t)
(* (pow k 2) t)
(sqrt t)
(/ (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) (* (pow k 4) t))
(/ (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) t)
(/ t l)
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/ (* k (* t (pow (sin k) 2))) (* l (cos k)))
(/ (* (pow t 2) (pow (sin k) 2)) (* l (cos k)))
(/ (pow t 2) l)
(/ k t)
(* -2 (/ (pow l 2) (* (pow k 4) (* t (pow (sqrt -1) 2)))))
(* -1 (/ l (* (pow k 4) (* t (pow (sqrt -1) 2)))))
(* -1 (* (pow k 4) (* t (pow (sqrt -1) 2))))
(* -1 (* (pow k 2) (* t (pow (sqrt -1) 2))))
(* -1 (* t (pow (sqrt -1) 2)))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(/ k l)
l
(/ k (* l (cos k)))
(* l (cos k))
(* 2 l)
(/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) (* (pow k 4) t))
(/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) t)
(* (pow l 2) (+ 2 (* -1/3 (pow k 2))))
(* -1/3 (* (pow k 2) (pow l 2)))
(* -1/3 (pow l 2))
(pow l 2)
(/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))
(/ (+ (* 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))
(/ (+ (* 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))
(/ (* (pow k 4) t) (pow l 2))
(* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))
(* (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))))
(* (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))))
(* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(/ (* (pow k 3) t) l)
(* (pow k 3) (+ (* -1/3 (/ (* (pow k 2) t) l)) (/ t l)))
(* (pow k 3) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* 2/45 (/ (* (pow k 2) t) l)))) (/ t l)))
(* (pow k 3) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) l)) (* 2/45 (/ t l)))))) (/ t l)))
(/ (* (pow k 2) t) l)
(* (pow k 2) (+ (* -1/6 (/ (* (pow k 2) t) l)) (/ t l)))
(* (pow k 2) (+ (* (pow k 2) (+ (* -1/6 (/ t l)) (* 1/120 (/ (* (pow k 2) t) l)))) (/ t l)))
(* (pow k 2) (+ (* (pow k 2) (+ (* -1/6 (/ t l)) (* (pow k 2) (+ (* -1/5040 (/ (* (pow k 2) t) l)) (* 1/120 (/ t l)))))) (/ t l)))
k
(* k (+ 1 (* -1/6 (pow k 2))))
(* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))
(* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))
(* k (+ (* 1/2 (/ (pow k 2) l)) (/ 1 l)))
(* k (+ (* (pow k 2) (+ (* 5/24 (/ (pow k 2) l)) (* 1/2 (/ 1 l)))) (/ 1 l)))
(* k (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 61/720 (/ (pow k 2) l)) (* 5/24 (/ 1 l)))) (* 1/2 (/ 1 l)))) (/ 1 l)))
(+ l (* -1/2 (* (pow k 2) l)))
(+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))
(+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))
1
(+ 1 (* -1/2 (pow k 2)))
(+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))
(+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))
(pow k 2)
(* 2 (/ (pow l 2) t))
(+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t)))
(* 2 (pow l 2))
(+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2)))
(pow k 4)
(sqrt k)
(/ (pow k 4) l)
(* (pow k 4) (+ (* 1/6 (/ (pow k 2) l)) (/ 1 l)))
(* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (pow k 2) l)) (* 1/6 (/ 1 l)))) (/ 1 l)))
(* (pow k 4) (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 173/5040 (/ (pow k 2) l)) (* 31/360 (/ 1 l)))) (* 1/6 (/ 1 l)))) (/ 1 l)))
(* (pow k 3) (+ (* 1/6 (/ (* (pow k 2) t) l)) (/ t l)))
(* (pow k 3) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) l)) (* 1/6 (/ t l)))) (/ t l)))
(* (pow k 3) (+ (* (pow k 2) (+ (* 1/6 (/ t l)) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) l)) (* 31/360 (/ t l)))))) (/ t l)))
(/ (* (pow k 2) (pow t 2)) l)
(* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 2)) l)) (/ (pow t 2) l)))
(* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) (pow t 2)) l)) (* 1/6 (/ (pow t 2) l)))) (/ (pow t 2) l)))
(* (pow k 2) (+ (* (pow k 2) (+ (* 1/6 (/ (pow t 2) l)) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) (pow t 2)) l)) (* 31/360 (/ (pow t 2) l)))))) (/ (pow t 2) l)))
(* (pow k 2) (+ 1 (* 1/6 (pow k 2))))
(* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* 31/360 (pow k 2))))))
(* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* (pow k 2) (+ 31/360 (* 173/5040 (pow k 2))))))))
(* k (+ 1 (* 1/3 (pow k 2))))
(* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))
(* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))
(sin k)
(cos k)
(* -1/3 (/ (pow l 2) (* (pow k 2) t)))
(/ (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))) (pow k 2))
(* -1/3 (/ (* (pow k 2) (pow l 2)) t))
(* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))))
(* (pow k 2) (+ (* -1/3 (pow l 2)) (* 2 (/ (pow l 2) (pow k 2)))))
(/ (pow (sin k) 2) (cos k))
(/ (sin k) (cos k))
(* -1/3 (/ (pow l 2) (* (pow k 2) (* t (pow (sqrt -1) 8)))))
(/ (+ (* -1/3 (/ (pow l 2) (* t (pow (sqrt -1) 8)))) (* 2 (/ (pow l 2) (* (pow k 2) (* t (pow (sqrt -1) 8)))))) (pow k 2))
(* (pow k 4) (pow (sqrt -1) 8))
(* -1 (* k (pow (sqrt -1) 2)))
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
Outputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (cos.f64 k) k) (/.f64 (*.f64 l l) k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 (*.f64 k t) k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 l l)))
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(/ (* k (* t (sin k))) l)
(/.f64 (*.f64 (*.f64 (sin.f64 k) t) k) l)
(/ (* k t) l)
(/.f64 (*.f64 k t) l)
t
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t))
(* (pow k 4) t)
(*.f64 (pow.f64 k #s(literal 4 binary64)) t)
(* (pow k 2) t)
(*.f64 (*.f64 k t) k)
(sqrt t)
(sqrt.f64 t)
(/ (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) (* (pow k 4) t))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t))
(/ (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) t)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 l l))
(/ t l)
(/.f64 t l)
(/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) k) (*.f64 (cos.f64 k) l))
(/ (* k (* t (pow (sin k) 2))) (* l (cos k)))
(*.f64 (/.f64 (*.f64 k t) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(/ (* (pow t 2) (pow (sin k) 2)) (* l (cos k)))
(/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) t) l) (cos.f64 k))
(/ (pow t 2) l)
(*.f64 t (/.f64 t l))
(/ k t)
(/.f64 k t)
(* -2 (/ (pow l 2) (* (pow k 4) (* t (pow (sqrt -1) 2)))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 l l)) (*.f64 (neg.f64 t) (pow.f64 k #s(literal 4 binary64))))
(* -1 (/ l (* (pow k 4) (* t (pow (sqrt -1) 2)))))
(/.f64 (neg.f64 l) (*.f64 (neg.f64 t) (pow.f64 k #s(literal 4 binary64))))
(* -1 (* (pow k 4) (* t (pow (sqrt -1) 2))))
(*.f64 (*.f64 (pow.f64 k #s(literal 4 binary64)) t) #s(literal 1 binary64))
(* -1 (* (pow k 2) (* t (pow (sqrt -1) 2))))
(*.f64 (*.f64 (*.f64 k t) k) #s(literal 1 binary64))
(* -1 (* t (pow (sqrt -1) 2)))
(*.f64 #s(literal 1 binary64) t)
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 t) #s(literal 1 binary64))
(/ k l)
(/.f64 k l)
l
(/ k (* l (cos k)))
(/.f64 k (*.f64 (cos.f64 k) l))
(* l (cos k))
(*.f64 (cos.f64 k) l)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) (* (pow k 4) t))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t))
(/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) t)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 l l))
(* (pow l 2) (+ 2 (* -1/3 (pow k 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) l) l)
(* -1/3 (* (pow k 2) (pow l 2)))
(*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) k) k)
(* -1/3 (pow l 2))
(*.f64 #s(literal -1/3 binary64) (*.f64 l l))
(pow l 2)
(*.f64 l l)
(/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t))
(/ (+ (* 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))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)) k) k) (*.f64 k k) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 l l))) (pow.f64 k #s(literal 4 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))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 l l) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 151/7560 binary64) (/.f64 (*.f64 l l) t) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/720 binary64)))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))) (pow.f64 k #s(literal 4 binary64)))) (pow.f64 k #s(literal 4 binary64)))
(/ (* (pow k 4) t) (pow l 2))
(*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))
(* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))
(*.f64 (/.f64 (fma.f64 (*.f64 k k) (*.f64 #s(literal 1/6 binary64) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 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))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 (*.f64 #s(literal 31/360 binary64) (*.f64 k k)) t)) (*.f64 l l)) (*.f64 k k) (/.f64 (/.f64 t l) l)) (pow.f64 k #s(literal 4 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))))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 k k) (*.f64 #s(literal 1/6 binary64) t) t) (*.f64 l l)) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 (*.f64 #s(literal 173/5040 binary64) (*.f64 k k)) t)) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))) (pow.f64 k #s(literal 4 binary64)))
(* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(*.f64 (/.f64 (fma.f64 (*.f64 k k) (*.f64 #s(literal 1/6 binary64) t) t) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))
(* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 (/.f64 t l) l)) (/.f64 (fma.f64 #s(literal 1/24 binary64) t (*.f64 (*.f64 #s(literal 1/6 binary64) t) #s(literal -1/2 binary64))) (*.f64 l l))) (*.f64 k k) (*.f64 (/.f64 (/.f64 t l) l) #s(literal 1/6 binary64))) (*.f64 k k) (/.f64 (/.f64 t l) l)) (pow.f64 k #s(literal 4 binary64)))
(* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/315 binary64) (/.f64 (/.f64 t l) l)) (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 (/.f64 t l) l)) (/.f64 (fma.f64 #s(literal 1/24 binary64) t (*.f64 (*.f64 #s(literal 1/6 binary64) t) #s(literal -1/2 binary64))) (*.f64 l l))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) t)) (*.f64 l l)))) (*.f64 k k) (-.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 (/.f64 t l) l)) (/.f64 (fma.f64 #s(literal 1/24 binary64) t (*.f64 (*.f64 #s(literal 1/6 binary64) t) #s(literal -1/2 binary64))) (*.f64 l l)))) (*.f64 k k) (*.f64 (/.f64 (/.f64 t l) l) #s(literal 1/6 binary64))) (*.f64 k k) (/.f64 (/.f64 t l) l)) (pow.f64 k #s(literal 4 binary64)))
(/ (* (pow k 3) t) l)
(/.f64 (*.f64 (pow.f64 k #s(literal 3 binary64)) t) l)
(* (pow k 3) (+ (* -1/3 (/ (* (pow k 2) t) l)) (/ t l)))
(*.f64 (/.f64 (fma.f64 (*.f64 k k) (*.f64 #s(literal -1/3 binary64) t) t) l) (pow.f64 k #s(literal 3 binary64)))
(* (pow k 3) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* 2/45 (/ (* (pow k 2) t) l)))) (/ t l)))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 k t) k) (*.f64 #s(literal -1/3 binary64) t)) l) (*.f64 k k) (/.f64 t l)) (pow.f64 k #s(literal 3 binary64)))
(* (pow k 3) (+ (* (pow k 2) (+ (* -1/3 (/ t l)) (* (pow k 2) (+ (* -1/315 (/ (* (pow k 2) t) l)) (* 2/45 (/ t l)))))) (/ t l)))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 k k) (*.f64 #s(literal -1/3 binary64) t) t) l) (*.f64 (/.f64 (fma.f64 #s(literal 2/45 binary64) t (*.f64 #s(literal -1/315 binary64) (*.f64 (*.f64 k t) k))) l) (pow.f64 k #s(literal 4 binary64)))) (pow.f64 k #s(literal 3 binary64)))
(/ (* (pow k 2) t) l)
(*.f64 (/.f64 (*.f64 k t) l) k)
(* (pow k 2) (+ (* -1/6 (/ (* (pow k 2) t) l)) (/ t l)))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) t) (*.f64 k k) t) l) k) k)
(* (pow k 2) (+ (* (pow k 2) (+ (* -1/6 (/ t l)) (* 1/120 (/ (* (pow k 2) t) l)))) (/ t l)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 k k)) t (*.f64 #s(literal -1/6 binary64) t)) l) (*.f64 k k) (/.f64 t l)) (*.f64 k k))
(* (pow k 2) (+ (* (pow k 2) (+ (* -1/6 (/ t l)) (* (pow k 2) (+ (* -1/5040 (/ (* (pow k 2) t) l)) (* 1/120 (/ t l)))))) (/ t l)))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) t) (*.f64 k k) t) l) (*.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) t (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 k k)) t)) l) (pow.f64 k #s(literal 4 binary64)))) (*.f64 k k))
k
(* k (+ 1 (* -1/6 (pow k 2))))
(fma.f64 (pow.f64 k #s(literal 3 binary64)) #s(literal -1/6 binary64) k)
(* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 k k)) #s(literal 1/6 binary64)) (pow.f64 k #s(literal 3 binary64)) k)
(* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 k #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 k k))) #s(literal 1/6 binary64)) (pow.f64 k #s(literal 3 binary64)) k)
(* k (+ (* 1/2 (/ (pow k 2) l)) (/ 1 l)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 k k) #s(literal 1 binary64)) l) k)
(* k (+ (* (pow k 2) (+ (* 5/24 (/ (pow k 2) l)) (* 1/2 (/ 1 l)))) (/ 1 l)))
(fma.f64 (/.f64 (fma.f64 #s(literal 5/24 binary64) (*.f64 k k) #s(literal 1/2 binary64)) l) (pow.f64 k #s(literal 3 binary64)) (/.f64 k l))
(* k (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 61/720 (/ (pow k 2) l)) (* 5/24 (/ 1 l)))) (* 1/2 (/ 1 l)))) (/ 1 l)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 61/720 binary64) (*.f64 k k) #s(literal 5/24 binary64)) l) (*.f64 k k) (/.f64 #s(literal 1/2 binary64) l)) (pow.f64 k #s(literal 3 binary64)) (/.f64 k l))
(+ l (* -1/2 (* (pow k 2) l)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64)) l)
(+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/24 binary64) (*.f64 k k) #s(literal -1/2 binary64))) (*.f64 k k) l)
(+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 k #s(literal 4 binary64))) l (*.f64 l (fma.f64 #s(literal 1/24 binary64) (*.f64 k k) #s(literal -1/2 binary64)))) (*.f64 k k) l)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow k 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 k k) #s(literal 1 binary64))
(+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 k k)) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64))
(+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))
(fma.f64 (-.f64 (fma.f64 #s(literal -1/720 binary64) (pow.f64 k #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 k k))) #s(literal 1/2 binary64)) (*.f64 k k) #s(literal 1 binary64))
(pow k 2)
(*.f64 k k)
(* 2 (/ (pow l 2) t))
(*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))
(+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (*.f64 l l))
(* 2 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 2 binary64))
(+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) l) l)
(pow k 4)
(pow.f64 k #s(literal 4 binary64))
(sqrt k)
(sqrt.f64 k)
(/ (pow k 4) l)
(/.f64 (pow.f64 k #s(literal 4 binary64)) l)
(* (pow k 4) (+ (* 1/6 (/ (pow k 2) l)) (/ 1 l)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) l) (pow.f64 k #s(literal 4 binary64)))
(* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (pow k 2) l)) (* 1/6 (/ 1 l)))) (/ 1 l)))
(*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) (pow.f64 k #s(literal 4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64))) l) (pow.f64 k #s(literal 4 binary64)))
(* (pow k 4) (+ (* (pow k 2) (+ (* (pow k 2) (+ (* 173/5040 (/ (pow k 2) l)) (* 31/360 (/ 1 l)))) (* 1/6 (/ 1 l)))) (/ 1 l)))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 173/5040 binary64) (pow.f64 k #s(literal 4 binary64)) (fma.f64 #s(literal 31/360 binary64) (*.f64 k k) #s(literal 1/6 binary64))) l) (*.f64 k k) (/.f64 #s(literal 1 binary64) l)) (pow.f64 k #s(literal 4 binary64)))
(* (pow k 3) (+ (* 1/6 (/ (* (pow k 2) t) l)) (/ t l)))
(*.f64 (/.f64 (fma.f64 (*.f64 k k) (*.f64 #s(literal 1/6 binary64) t) t) l) (pow.f64 k #s(literal 3 binary64)))
(* (pow k 3) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) l)) (* 1/6 (/ t l)))) (/ t l)))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) t (*.f64 (*.f64 #s(literal 31/360 binary64) (*.f64 k k)) t)) l) (*.f64 k k) (/.f64 t l)) (pow.f64 k #s(literal 3 binary64)))
(* (pow k 3) (+ (* (pow k 2) (+ (* 1/6 (/ t l)) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) l)) (* 31/360 (/ t l)))))) (/ t l)))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 k k) (*.f64 #s(literal 1/6 binary64) t) t) l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 (*.f64 #s(literal 173/5040 binary64) (*.f64 k k)) t)) l) (pow.f64 k #s(literal 4 binary64)))) (pow.f64 k #s(literal 3 binary64)))
(/ (* (pow k 2) (pow t 2)) l)
(/.f64 (*.f64 (*.f64 (*.f64 k t) k) t) l)
(* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 2)) l)) (/ (pow t 2) l)))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 k t) k) t) #s(literal 1/6 binary64) (*.f64 t t)) l) k) k)
(* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) (pow t 2)) l)) (* 1/6 (/ (pow t 2) l)))) (/ (pow t 2) l)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t (*.f64 (*.f64 (*.f64 (*.f64 k t) k) t) #s(literal 31/360 binary64))) l) (*.f64 k k) (*.f64 t (/.f64 t l))) (*.f64 k k))
(* (pow k 2) (+ (* (pow k 2) (+ (* 1/6 (/ (pow t 2) l)) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) (pow t 2)) l)) (* 31/360 (/ (pow t 2) l)))))) (/ (pow t 2) l)))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 k t) k) t) #s(literal 1/6 binary64) (*.f64 t t)) l) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 31/360 binary64) t) t (*.f64 (*.f64 (*.f64 (*.f64 k t) k) t) #s(literal 173/5040 binary64))) l) (pow.f64 k #s(literal 4 binary64)))) (*.f64 k k))
(* (pow k 2) (+ 1 (* 1/6 (pow k 2))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 k #s(literal 4 binary64)) (*.f64 k k))
(* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* 31/360 (pow k 2))))))
(fma.f64 (fma.f64 #s(literal 31/360 binary64) (*.f64 k k) #s(literal 1/6 binary64)) (pow.f64 k #s(literal 4 binary64)) (*.f64 k k))
(* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* (pow k 2) (+ 31/360 (* 173/5040 (pow k 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 173/5040 binary64) (*.f64 k k) #s(literal 31/360 binary64)) (*.f64 k k) #s(literal 1/6 binary64)) (pow.f64 k #s(literal 4 binary64)) (*.f64 k k))
(* k (+ 1 (* 1/3 (pow k 2))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 k #s(literal 3 binary64)) k)
(* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 k k) #s(literal 1/3 binary64)) (pow.f64 k #s(literal 3 binary64)) k)
(* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))
(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)) (pow.f64 k #s(literal 3 binary64)) k)
(sin k)
(sin.f64 k)
(cos k)
(cos.f64 k)
(* -1/3 (/ (pow l 2) (* (pow k 2) t)))
(*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal -1/3 binary64) k))
(/ (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))) (pow k 2))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) k))) t) (*.f64 k k))
(* -1/3 (/ (* (pow k 2) (pow l 2)) t))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64)) k) k)
(* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) k))) t) (*.f64 k k))
(* (pow k 2) (+ (* -1/3 (pow l 2)) (* 2 (/ (pow l 2) (pow k 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) k))) (*.f64 k k))
(/ (pow (sin k) 2) (cos k))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(/ (sin k) (cos k))
(/.f64 (sin.f64 k) (cos.f64 k))
(* -1/3 (/ (pow l 2) (* (pow k 2) (* t (pow (sqrt -1) 8)))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) t)) (*.f64 (/.f64 l k) (/.f64 l k)))
(/ (+ (* -1/3 (/ (pow l 2) (* t (pow (sqrt -1) 8)))) (* 2 (/ (pow l 2) (* (pow k 2) (* t (pow (sqrt -1) 8)))))) (pow k 2))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) k))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) t)) (*.f64 k k))
(* (pow k 4) (pow (sqrt -1) 8))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) (pow.f64 k #s(literal 4 binary64)))
(* -1 (* k (pow (sqrt -1) 2)))
k
(* -1 (* (sqrt k) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 k) #s(literal 1 binary64))

rewrite289.0ms (2.3%)

Memory
27.4MiB live, 315.2MiB allocated; 77ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067595
0110517
1351481
22418473
08796469
Stop Event
iter limit
node limit
iter limit
Counts
52 → 1 611
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k)))))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))
(*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k))
(*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k))
(*.f64 (/.f64 k l) t)
(/.f64 k l)
k
l
t
(sin.f64 k)
(/.f64 k (*.f64 l (cos.f64 k)))
(*.f64 l (cos.f64 k))
(cos.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
(*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l))
(/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k)))
(*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))
(*.f64 t (*.f64 k k))
(*.f64 k k)
(+.f64 l l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l)))
(*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l))
(/.f64 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 k k)) (*.f64 k k)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 k k)) (*.f64 k k))
(*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 k k))
(*.f64 (sqrt.f64 t) (sqrt.f64 t))
(sqrt.f64 t)
(*.f64 #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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t)
(fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))
(*.f64 #s(literal -1/3 binary64) (*.f64 l l))
#s(literal -1/3 binary64)
(*.f64 l l)
(pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))
(*.f64 (sqrt.f64 k) (sqrt.f64 k))
(sqrt.f64 k)
#s(literal 4 binary64)
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t)) (/.f64 k t)) (/.f64 k t))))
(*.f64 (/.f64 t l) (*.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t)) (/.f64 k t)) (/.f64 k t)))
(/.f64 t l)
(*.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t)) (/.f64 k t)) (/.f64 k t))
(*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t)) (/.f64 k t))
(*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t))
(*.f64 (tan.f64 k) (sin.f64 k))
(tan.f64 k)
(*.f64 (/.f64 t l) t)
(/.f64 k t)
Outputs
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) t))))))))
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) t))))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) t)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) t)))))
(neg.f64 (/.f64 #s(literal -2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) t))))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) t))))
(*.f64 (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (*.f64 (sin.f64 k) t) (/.f64 k l))) (sin.f64 k))
(*.f64 (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (/.f64 k l) t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) t)) (cos.f64 k)) (/.f64 k l))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) t)) l) (/.f64 k (cos.f64 k)))
(*.f64 (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (sin.f64 k)) (*.f64 (*.f64 (sin.f64 k) t) (/.f64 k l)))
(*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) t)))
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) t)) (/.f64 k (*.f64 (cos.f64 k) l)))
(*.f64 (*.f64 (*.f64 (sin.f64 k) t) (/.f64 k l)) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (sin.f64 k)))
(*.f64 (sin.f64 k) (*.f64 (*.f64 (*.f64 (sin.f64 k) t) (/.f64 k l)) (/.f64 k (*.f64 (cos.f64 k) l))))
(*.f64 (sin.f64 k) (*.f64 (*.f64 (/.f64 k l) t) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (sin.f64 k))))
(*.f64 (*.f64 (/.f64 k l) t) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 k (*.f64 (cos.f64 k) l))))
(*.f64 (*.f64 (/.f64 k l) t) (*.f64 (sin.f64 k) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (sin.f64 k))))
(*.f64 (/.f64 k l) (*.f64 (*.f64 (sin.f64 k) t) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (sin.f64 k))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k)) (cos.f64 k))) (neg.f64 l))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k)) l)) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (*.f64 (/.f64 k l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) t)))) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) t)) (/.f64 k l))) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (/.f64 k l) t) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k)))) (neg.f64 (*.f64 (neg.f64 l) (cos.f64 k))))
(/.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k)) (cos.f64 k)) l)
(/.f64 (/.f64 (*.f64 (*.f64 (/.f64 k l) t) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k)) l) (cos.f64 k))
(/.f64 (*.f64 (/.f64 k l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) t))) (cos.f64 k))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k l) t)) (/.f64 k l)) (cos.f64 k))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 k l) t) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k))) (neg.f64 (*.f64 (neg.f64 l) (cos.f64 k))))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 k l) t) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k))) (*.f64 (neg.f64 l) (cos.f64 k)))
(/.f64 (*.f64 (*.f64 (/.f64 k l) t) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k)) (*.f64 (neg.f64 l) (cos.f64 k)))
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(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 t l) t) (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 (/.f64 k t) k)) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 t l)) (*.f64 k t)) (/.f64 k t)) t)
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (/.f64 t l) t) (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 (/.f64 k t) k))) t)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 t l)) (*.f64 k t)) k) (*.f64 t t))
(/.f64 (*.f64 k (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 t l)) (*.f64 k t))) (*.f64 t t))
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 t l) t) (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 (/.f64 k t) k)) t)
(*.f64 (*.f64 (/.f64 k t) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 t l))) t)
(*.f64 (*.f64 (/.f64 k t) (*.f64 (tan.f64 k) (sin.f64 k))) (*.f64 (/.f64 t l) t))
(*.f64 (*.f64 (/.f64 k t) (tan.f64 k)) (*.f64 (*.f64 (sin.f64 k) t) (/.f64 t l)))
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 t l) t) (*.f64 (tan.f64 k) (sin.f64 k))) (sqrt.f64 t)) (/.f64 k (sqrt.f64 t)))
(*.f64 (*.f64 (/.f64 k t) (*.f64 (/.f64 t l) t)) (*.f64 (tan.f64 k) (sin.f64 k)))
(*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 t l)) (*.f64 t (/.f64 k t)))
(*.f64 (/.f64 k t) (*.f64 (*.f64 (/.f64 t l) t) (*.f64 (tan.f64 k) (sin.f64 k))))
(*.f64 (*.f64 (*.f64 (/.f64 t l) t) (*.f64 (tan.f64 k) (sin.f64 k))) (/.f64 k t))
(*.f64 (*.f64 (/.f64 t l) t) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 k t)))
(*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 k t) (*.f64 (/.f64 t l) t)))
(*.f64 (tan.f64 k) (*.f64 (*.f64 (*.f64 (sin.f64 k) t) (/.f64 t l)) (/.f64 k t)))
(*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (*.f64 (/.f64 k t) (*.f64 (/.f64 t l) t))))
(*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (*.f64 (/.f64 k t) (*.f64 (/.f64 t l) t))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 t l)) (*.f64 k t)) (sqrt.f64 t))) (sqrt.f64 t))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 t l)) (*.f64 k t)))) t)
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 t l)) (*.f64 k t)) (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 t l)) (*.f64 k t))) t)
(/.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 t l)) (*.f64 k t)) t)
(*.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 t l)) (sqrt.f64 t)) (sqrt.f64 t))
(*.f64 (*.f64 (*.f64 (/.f64 t l) t) (tan.f64 k)) (sin.f64 k))
(*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) t) (/.f64 t l))
(*.f64 (*.f64 (*.f64 (sin.f64 k) t) (/.f64 t l)) (tan.f64 k))
(*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 t l)) t)
(*.f64 (*.f64 (/.f64 t l) t) (*.f64 (tan.f64 k) (sin.f64 k)))
(*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t))
(*.f64 (tan.f64 k) (*.f64 (*.f64 (sin.f64 k) t) (/.f64 t l)))
(*.f64 (/.f64 t l) (*.f64 t (*.f64 (tan.f64 k) (sin.f64 k))))
(*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (*.f64 (/.f64 t l) t)))
(*.f64 t (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 t l)))
(/.f64 (neg.f64 (*.f64 (*.f64 t t) (*.f64 (tan.f64 k) (sin.f64 k)))) (neg.f64 l))
(/.f64 (neg.f64 (*.f64 (sin.f64 k) (*.f64 (*.f64 (sin.f64 k) t) (/.f64 t l)))) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 t t))) (neg.f64 l))
(/.f64 (*.f64 (*.f64 t t) (*.f64 (tan.f64 k) (sin.f64 k))) l)
(/.f64 (*.f64 (sin.f64 k) (*.f64 (*.f64 (sin.f64 k) t) (/.f64 t l))) (cos.f64 k))
(/.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 t t)) l)
(*.f64 (tan.f64 k) (sin.f64 k))
(*.f64 (sin.f64 k) (tan.f64 k))
(/.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (cos.f64 k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 k)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) (cos.f64 k)))
(/.f64 (neg.f64 (+.f64 (tan.f64 k) #s(literal 0 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 k) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 k)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 k))))
(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) k) (PI.f64))) (cos.f64 (+.f64 (+.f64 (PI.f64) k) (PI.f64))))
(/.f64 (+.f64 (tan.f64 k) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 k) #s(literal 0 binary64))))
(/.f64 (sin.f64 k) (neg.f64 (neg.f64 (cos.f64 k))))
(/.f64 (sin.f64 k) (neg.f64 (cos.f64 k)))
(/.f64 (sin.f64 k) (cos.f64 k))
(neg.f64 (tan.f64 k))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) k) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) k) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) k))
(tan.f64 k)
(*.f64 (*.f64 (/.f64 t l) (sqrt.f64 t)) (sqrt.f64 t))
(*.f64 (/.f64 t l) t)
(*.f64 (sqrt.f64 t) (*.f64 (sqrt.f64 t) (/.f64 t l)))
(*.f64 t (/.f64 t l))
(/.f64 (neg.f64 (neg.f64 (*.f64 t t))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 t t)) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 t t)) (neg.f64 l))
(/.f64 (*.f64 t t) (neg.f64 l))
(/.f64 (*.f64 t t) l)
(sqrt.f64 (/.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 l l)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 k t))) (neg.f64 (sqrt.f64 (/.f64 k t))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 k t)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 k t)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 k t)) (sqrt.f64 (/.f64 k t)))
(*.f64 (/.f64 k t) #s(literal 1 binary64))
(*.f64 (sqrt.f64 k) (pow.f64 (/.f64 (sqrt.f64 k) t) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 k) t))
(*.f64 #s(literal 1 binary64) (/.f64 k t))
(pow.f64 (sqrt.f64 (/.f64 k t)) #s(literal 2 binary64))
(pow.f64 (/.f64 k t) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (/.f64 k (sqrt.f64 t))) (sqrt.f64 t))
(/.f64 (sqrt.f64 (*.f64 k (/.f64 k t))) (sqrt.f64 t))
(/.f64 (sqrt.f64 (*.f64 (/.f64 k t) k)) (sqrt.f64 t))
(/.f64 (/.f64 k (sqrt.f64 t)) (sqrt.f64 t))
(/.f64 k t)
(neg.f64 (/.f64 k t))
(sqrt.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(fabs.f64 (/.f64 k t))
(exp.f64 (/.f64 (*.f64 (log.f64 (/.f64 k t)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (/.f64 k t)))
(+.f64 (cosh.f64 (log.f64 (/.f64 k t))) (sinh.f64 (log.f64 (/.f64 k t))))

eval339.0ms (2.7%)

Memory
46.4MiB live, 636.7MiB allocated; 91ms collecting garbage
Compiler

Compiled 105 700 to 10 198 computations (90.4% saved)

prune191.0ms (1.5%)

Memory
-15.6MiB live, 467.7MiB allocated; 81ms collecting garbage
Pruning

66 alts after pruning (64 fresh and 2 done)

PrunedKeptTotal
New2 219392 258
Fresh232548
Picked415
Done011
Total2 246662 312
Accuracy
100.0%
Counts
2 312 → 66
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.9%
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 k t) (*.f64 (*.f64 (/.f64 t l) t) (*.f64 (tan.f64 k) (sin.f64 k)))) (/.f64 t l))) (/.f64 k t))
71.9%
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) (/.f64 t l)) (*.f64 (/.f64 k t) (*.f64 (*.f64 (/.f64 t l) t) (*.f64 (tan.f64 k) (sin.f64 k)))))) (/.f64 k t))
73.9%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 t l)) (*.f64 k t)) (sqrt.f64 t)) (sqrt.f64 t)) (/.f64 k t))))
82.4%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 (*.f64 (/.f64 k t) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 t l))) t) (/.f64 k t))))
70.8%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (*.f64 (/.f64 k t) (*.f64 (/.f64 t l) t)) (/.f64 k t)))))
64.2%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 #s(approx (* (* (tan k) (sin k)) (* (/ t l) t)) (/.f64 (*.f64 (*.f64 (*.f64 k t) k) t) l)) (/.f64 k t)) (/.f64 k t))))
58.7%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 #s(approx (* (* (tan k) (sin k)) (* (/ t l) t)) (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 k t) k) t) #s(literal 1/6 binary64) (*.f64 t t)) l) k) k)) (/.f64 k t)) (/.f64 k t))))
38.7%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k k) (*.f64 t t))))))
71.7%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (/.f64 k t)) (*.f64 (/.f64 k t) (*.f64 (*.f64 (/.f64 t l) t) (*.f64 (tan.f64 k) (sin.f64 k))))))
29.0%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 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))))
86.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) l)) l)))
72.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) #s(approx (/ k (* l (cos k))) (/.f64 k l)))))
71.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
70.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 k k) t) #s(literal -1/3 binary64) t) k) k)) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
91.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k))))))
98.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (*.f64 (sin.f64 k) t) (/.f64 k l))) (sin.f64 k))))
85.6%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
78.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l #s(approx (cos k) #s(literal 1 binary64)))))))
76.0%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) (*.f64 l l)))))
74.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
76.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (/.f64 (*.f64 k t) l) k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))))
85.3%
(*.f64 (*.f64 (*.f64 (cos.f64 k) l) #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 k (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))))) l)
65.7%
(*.f64 #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (*.f64 (*.f64 (cos.f64 k) l) l))
72.1%
(*.f64 #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) (*.f64 (*.f64 (cos.f64 k) l) l))
71.9%
(*.f64 #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))) (*.f64 (*.f64 (cos.f64 k) l) l))
38.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 k k) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) t) (/.f64 (*.f64 l #s(literal 2 binary64)) t)) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
50.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
30.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 l l)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) (*.f64 k k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
41.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 (neg.f64 k) k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
35.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 (sqrt.f64 k) #s(literal 8 binary64))))
35.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (*.f64 (*.f64 k k) (*.f64 k k))))
16.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (neg.f64 (pow.f64 k #s(literal 4 binary64)))))
42.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) l) (*.f64 l (*.f64 k k)))) t) (pow.f64 k #s(literal 4 binary64))))
39.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) (*.f64 l (*.f64 k k)) (*.f64 l #s(literal 2 binary64))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
50.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 l #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) k)) k)) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
61.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
59.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
46.0%
#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) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
69.9%
#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 #s(literal 2 binary64))) t))
72.5%
#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) t)) (*.f64 l #s(literal 2 binary64))) (*.f64 k k)))
20.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
19.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) t) (*.f64 k k))) (*.f64 k k)))
19.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64)) k) k)) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
51.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) (*.f64 (/.f64 l t) (/.f64 l (pow.f64 k #s(literal 4 binary64))))))
46.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l l) t)))
71.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (+.f64 l l)))
71.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 k k)) (+.f64 l l)))
71.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 l (*.f64 k k)) (*.f64 (*.f64 k k) t)) (+.f64 l l)))
63.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 k k) t))))
72.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (/.f64 l (*.f64 k k))))
73.9%
#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) (cos.f64 k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (/.f64 (*.f64 l l) k)))
25.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (neg.f64 (/.f64 l (*.f64 (*.f64 k k) t))) (*.f64 k k)) (+.f64 l l)))
25.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 (neg.f64 k) k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l)))
70.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l)))
68.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)) (*.f64 #s(literal 2 binary64) l)))
25.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (neg.f64 t) (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
50.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (pow.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 9 binary64))))
70.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
50.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 l #s(literal 2 binary64)))))
52.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 l #s(literal 2 binary64)))))
56.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))))
54.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 l l)))))
73.5%
#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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (cos.f64 k) k) (/.f64 (*.f64 l l) k))))
64.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) k))) t) (*.f64 k k))))
26.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal -1/3 binary64) k))))
26.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.f64 (/.f64 l k) (/.f64 l k)))))
Compiler

Compiled 8 056 to 2 620 computations (67.5% saved)

regimes210.0ms (1.7%)

Memory
-21.0MiB live, 383.8MiB allocated; 49ms collecting garbage
Counts
131 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (neg.f64 t) (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)) (*.f64 #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 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 k)) (neg.f64 k))) (*.f64 #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 (/.f64 l (*.f64 k k)) (*.f64 (*.f64 k k) 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 (*.f64 (*.f64 k k) t)) (*.f64 k k)) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (neg.f64 (/.f64 l (*.f64 (*.f64 k k) t))) (*.f64 k k)) (+.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 #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (/.f64 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 #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (/.f64 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 l) (*.f64 k k)) (/.f64 #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 l l) (*.f64 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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 k k)) (*.f64 #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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 l #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (/.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 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (sqrt.f64 (*.f64 t t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 (*.f64 (sqrt.f64 l) (sqrt.f64 l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 (neg.f64 k) k)) (*.f64 k k))) (*.f64 #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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) k))) t) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) k))) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 #s(approx (* (* (tan k) (sin k)) (* (/ t l) t)) (/.f64 (*.f64 (*.f64 (*.f64 k t) k) t) l)) (/.f64 k t)) (/.f64 k t))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 #s(approx (* (* (tan k) (sin k)) (* (/ t l) t)) (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 k t) k) t) #s(literal 1/6 binary64) (*.f64 t t)) l) k) k)) (/.f64 k t)) (/.f64 k t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))) (/.f64 #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 l (pow.f64 k #s(literal 4 binary64))) (*.f64 l #s(literal 2 binary64))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (pow.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 9 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #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 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) (*.f64 (/.f64 l t) (/.f64 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 (*.f64 l l) t) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #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 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 l #s(literal 2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 l #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) k) k #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (/.f64 (*.f64 k k) l))) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
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(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (sin.f64 k)) (/.f64 (*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (tan.f64 k)) l)))
(/.f64 #s(literal 2 binary64) (*.f64 (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))))))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))) (tan.f64 k))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (*.f64 (cos.f64 k) l) l))
(/.f64 (/.f64 #s(literal 2 binary64) (tan.f64 k)) (*.f64 (*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64))) (sin.f64 k)))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64))) (*.f64 (tan.f64 k) (sin.f64 k)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (pow.f64 (/.f64 k t) #s(literal 2 binary64))))))
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))) (/.f64 (tan.f64 k) (*.f64 l l)) (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64))))))))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (tan.f64 k) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64))))) (+.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (*.f64 (sin.f64 k) t) (/.f64 k l))) (sin.f64 k))))
Calls

6 calls:

44.0ms
(*.f64 l l)
39.0ms
l
37.0ms
k
32.0ms
t
26.0ms
(*.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
98.6%1(*.f64 l l)
98.6%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
98.6%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
98.6%1t
98.6%1l
98.6%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes195.0ms (1.6%)

Memory
11.5MiB live, 200.4MiB allocated; 23ms collecting garbage
Counts
108 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (neg.f64 t) (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)) (*.f64 #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 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 k)) (neg.f64 k))) (*.f64 #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 (/.f64 l (*.f64 k k)) (*.f64 (*.f64 k k) 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 (*.f64 (*.f64 k k) t)) (*.f64 k k)) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (neg.f64 (/.f64 l (*.f64 (*.f64 k k) t))) (*.f64 k k)) (+.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 #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (/.f64 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 #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (/.f64 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 l) (*.f64 k k)) (/.f64 #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 l l) (*.f64 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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 k k)) (*.f64 #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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 l #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (/.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 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (sqrt.f64 (*.f64 t t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 (*.f64 (sqrt.f64 l) (sqrt.f64 l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 (neg.f64 k) k)) (*.f64 k k))) (*.f64 #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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) k))) t) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) k))) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 #s(approx (* (* (tan k) (sin k)) (* (/ t l) t)) (/.f64 (*.f64 (*.f64 (*.f64 k t) k) t) l)) (/.f64 k t)) (/.f64 k t))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 #s(approx (* (* (tan k) (sin k)) (* (/ t l) t)) (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 k t) k) t) #s(literal 1/6 binary64) (*.f64 t t)) l) k) k)) (/.f64 k t)) (/.f64 k t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))) (/.f64 #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 l (pow.f64 k #s(literal 4 binary64))) (*.f64 l #s(literal 2 binary64))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (pow.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 9 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #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 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) (*.f64 (/.f64 l t) (/.f64 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 (*.f64 l l) t) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #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 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 l #s(literal 2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 l #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) k) k #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (/.f64 (*.f64 k k) l))) (-.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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) l) (*.f64 l (*.f64 k k)))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (neg.f64 (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 (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 l l) #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) t) (*.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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 (sqrt.f64 k) #s(literal 8 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64)) k) k)) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) (*.f64 l (*.f64 k k)) (*.f64 l #s(literal 2 binary64))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 k k) t) #s(literal -1/3 binary64) t) k) k)) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 l #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) k)) k)) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 (neg.f64 k) k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.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 k k) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) t) (/.f64 (*.f64 l #s(literal 2 binary64)) t)) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 #s(approx (* (tan k) (sin k)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) k) k)) (pow.f64 (/.f64 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 (fma.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 l l)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) (*.f64 k k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.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 (pow.f64 (neg.f64 l) #s(literal 1 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #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 l (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) t)) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))))) (*.f64 #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 l (*.f64 (*.f64 (exp.f64 (log.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 l) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) #s(approx (/ k (* l (cos k))) (/.f64 k l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) l)) l)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (/.f64 (*.f64 k t) l) k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l #s(approx (cos k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 t l) (*.f64 (/.f64 t l) t)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (*.f64 (*.f64 (cos.f64 k) l) l))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) k) l) (/.f64 k 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 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k k) (*.f64 t t))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (/.f64 k t)) (*.f64 (/.f64 k t) (*.f64 (*.f64 (/.f64 t l) t) (*.f64 (tan.f64 k) (sin.f64 k))))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 k t) (/.f64 k t))))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (*.f64 (/.f64 k t) (*.f64 (/.f64 t l) t)) (/.f64 k t)))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t)) (/.f64 k t)) (/.f64 k t))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 (*.f64 (/.f64 k t) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 t l))) t) (/.f64 k t))))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t)) (/.f64 k t))) (/.f64 l (/.f64 k t)))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 k t) (*.f64 (*.f64 (/.f64 t l) t) (*.f64 (tan.f64 k) (sin.f64 k)))) (/.f64 t l))) (/.f64 k t))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) (/.f64 t l)) (*.f64 (/.f64 k t) (*.f64 (*.f64 (/.f64 t l) t) (*.f64 (tan.f64 k) (sin.f64 k)))))) (/.f64 k t))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 t l)) (*.f64 k t)) (sqrt.f64 t)) (sqrt.f64 t)) (/.f64 k t))))
(*.f64 #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))) (*.f64 (*.f64 (cos.f64 k) l) l))
(/.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 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) 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 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (/.f64 (*.f64 l l) k)))
(*.f64 #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) (*.f64 (*.f64 (cos.f64 k) l) l))
(*.f64 (*.f64 (*.f64 (cos.f64 k) l) #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 k (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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 (*.f64 (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 t)) (neg.f64 k)) (*.f64 (*.f64 (cos.f64 k) 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) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (cos.f64 k) k) (/.f64 (*.f64 l l) k))))
(*.f64 #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 k) l) l))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) #s(approx (* (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) k) (*.f64 (cos.f64 k) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))))
Calls

6 calls:

52.0ms
(*.f64 l l)
35.0ms
k
32.0ms
t
30.0ms
l
20.0ms
(*.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
98.0%1(*.f64 l l)
98.0%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)))
98.0%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))))
98.0%1t
98.0%1l
98.0%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes191.0ms (1.5%)

Memory
17.8MiB live, 292.8MiB allocated; 37ms collecting garbage
Counts
107 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (neg.f64 t) (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)) (*.f64 #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 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 k)) (neg.f64 k))) (*.f64 #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 (/.f64 l (*.f64 k k)) (*.f64 (*.f64 k k) 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 (*.f64 (*.f64 k k) t)) (*.f64 k k)) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (neg.f64 (/.f64 l (*.f64 (*.f64 k k) t))) (*.f64 k k)) (+.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 #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (/.f64 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 #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (/.f64 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 l) (*.f64 k k)) (/.f64 #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 l l) (*.f64 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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 k k)) (*.f64 #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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 l #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (+.f64 l l)))
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(/.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 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) 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 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (/.f64 (*.f64 l l) k)))
(*.f64 #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) (*.f64 (*.f64 (cos.f64 k) l) l))
(*.f64 (*.f64 (*.f64 (cos.f64 k) l) #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 k (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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 (*.f64 (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 t)) (neg.f64 k)) (*.f64 (*.f64 (cos.f64 k) 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) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (cos.f64 k) k) (/.f64 (*.f64 l l) k))))
(*.f64 #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 k) l) l))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 k l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) #s(approx (* (* t (/ t l)) (* (* (tan k) (sin k)) (pow (/ k t) 2))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) k) (*.f64 (cos.f64 k) l)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (/.f64 (*.f64 k t) l) k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
Calls

6 calls:

41.0ms
(*.f64 l l)
41.0ms
l
31.0ms
k
28.0ms
t
24.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
96.0%1t
98.1%2k
96.0%1(*.f64 l l)
96.0%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)))
96.0%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))))
96.0%1l
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes69.0ms (0.6%)

Memory
-42.1MiB live, 57.4MiB allocated; 14ms collecting garbage
Counts
104 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (neg.f64 t) (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)) (*.f64 #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 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 k)) (neg.f64 k))) (*.f64 #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 (/.f64 l (*.f64 k k)) (*.f64 (*.f64 k k) 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 (*.f64 (*.f64 k k) t)) (*.f64 k k)) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (neg.f64 (/.f64 l (*.f64 (*.f64 k k) t))) (*.f64 k k)) (+.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 #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (/.f64 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 #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (/.f64 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 l) (*.f64 k k)) (/.f64 #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 l l) (*.f64 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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 k k)) (*.f64 #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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 l #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (/.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 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (sqrt.f64 (*.f64 t t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 (*.f64 (sqrt.f64 l) (sqrt.f64 l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 (neg.f64 k) k)) (*.f64 k k))) (*.f64 #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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) k))) t) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) k))) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 #s(approx (* (* (tan k) (sin k)) (* (/ t l) t)) (/.f64 (*.f64 (*.f64 (*.f64 k t) k) t) l)) (/.f64 k t)) (/.f64 k t))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 #s(approx (* (* (tan k) (sin k)) (* (/ t l) t)) (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 k t) k) t) #s(literal 1/6 binary64) (*.f64 t t)) l) k) k)) (/.f64 k t)) (/.f64 k t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))) (/.f64 #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 l (pow.f64 k #s(literal 4 binary64))) (*.f64 l #s(literal 2 binary64))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (pow.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 9 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #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 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) (*.f64 (/.f64 l t) (/.f64 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 (*.f64 l l) t) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #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 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 l #s(literal 2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 l #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) k) k #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (/.f64 (*.f64 k k) l))) (-.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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) l) (*.f64 l (*.f64 k k)))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (neg.f64 (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 (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 l l) #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) t) (*.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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 (sqrt.f64 k) #s(literal 8 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64)) k) k)) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) (*.f64 l (*.f64 k k)) (*.f64 l #s(literal 2 binary64))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 k k) t) #s(literal -1/3 binary64) t) k) k)) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 l #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) k)) k)) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 (neg.f64 k) k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.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 k k) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) t) (/.f64 (*.f64 l #s(literal 2 binary64)) t)) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 #s(approx (* (tan k) (sin k)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) k) k)) (pow.f64 (/.f64 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 (fma.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 l l)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) (*.f64 k k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.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 (pow.f64 (neg.f64 l) #s(literal 1 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #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 l (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) t)) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))))) (*.f64 #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 l (*.f64 (*.f64 (exp.f64 (log.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 l) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) #s(approx (/ k (* l (cos k))) (/.f64 k l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) l)) l)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (/.f64 (*.f64 k t) l) k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l #s(approx (cos k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 t l) (*.f64 (/.f64 t l) t)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (*.f64 (*.f64 (cos.f64 k) l) l))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) k) l) (/.f64 k 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 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k k) (*.f64 t t))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 t l) (/.f64 k t)) (*.f64 (/.f64 k t) (*.f64 (*.f64 (/.f64 t l) t) (*.f64 (tan.f64 k) (sin.f64 k))))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 k t) (/.f64 k t))))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (*.f64 (/.f64 k t) (*.f64 (/.f64 t l) t)) (/.f64 k t)))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t)) (/.f64 k t)) (/.f64 k t))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 (*.f64 (/.f64 k t) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 t l))) t) (/.f64 k t))))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (*.f64 (/.f64 t l) t)) (/.f64 k t))) (/.f64 l (/.f64 k t)))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 k t) (*.f64 (*.f64 (/.f64 t l) t) (*.f64 (tan.f64 k) (sin.f64 k)))) (/.f64 t l))) (/.f64 k t))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) (/.f64 t l)) (*.f64 (/.f64 k t) (*.f64 (*.f64 (/.f64 t l) t) (*.f64 (tan.f64 k) (sin.f64 k)))))) (/.f64 k t))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 t l)) (*.f64 k t)) (sqrt.f64 t)) (sqrt.f64 t)) (/.f64 k t))))
(*.f64 #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))) (*.f64 (*.f64 (cos.f64 k) l) l))
(/.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 #s(literal 2 binary64) (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 (*.f64 (cos.f64 k) 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 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (/.f64 (*.f64 l l) k)))
(*.f64 #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) (*.f64 (*.f64 (cos.f64 k) l) l))
(*.f64 (*.f64 (*.f64 (cos.f64 k) l) #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 k (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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 (*.f64 (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 t)) (neg.f64 k)) (*.f64 (*.f64 (cos.f64 k) 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) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (cos.f64 k) k) (/.f64 (*.f64 l l) k))))
(*.f64 #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 k) l) l))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 k l))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l #s(approx (cos k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 k l))))
Calls

1 calls:

39.0ms
k
Results
AccuracySegmentsBranch
98.1%2k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes33.0ms (0.3%)

Memory
27.0MiB live, 69.1MiB allocated; 7ms collecting garbage
Counts
103 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (neg.f64 t) (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)) (*.f64 #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 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 k)) (neg.f64 k))) (*.f64 #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 (/.f64 l (*.f64 k k)) (*.f64 (*.f64 k k) 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 (*.f64 (*.f64 k k) t)) (*.f64 k k)) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (neg.f64 (/.f64 l (*.f64 (*.f64 k k) t))) (*.f64 k k)) (+.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 #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (/.f64 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 #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (/.f64 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 l) (*.f64 k k)) (/.f64 #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 l l) (*.f64 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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 k k)) (*.f64 #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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 l #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (/.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 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 l l)))))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (/.f64 (*.f64 l l) k)))
(*.f64 #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) (*.f64 (*.f64 (cos.f64 k) l) l))
(*.f64 (*.f64 (*.f64 (cos.f64 k) l) #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 k (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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 (*.f64 (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 t)) (neg.f64 k)) (*.f64 (*.f64 (cos.f64 k) 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) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 (/.f64 (cos.f64 k) k) (/.f64 (*.f64 l l) k))))
(*.f64 #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 k) l) l))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l #s(approx (cos k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
Calls

1 calls:

28.0ms
k
Results
AccuracySegmentsBranch
98.0%2k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes219.0ms (1.8%)

Memory
-18.7MiB live, 270.8MiB allocated; 132ms collecting garbage
Counts
81 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (neg.f64 t) (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)) (*.f64 #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 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 k)) (neg.f64 k))) (*.f64 #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 (/.f64 l (*.f64 k k)) (*.f64 (*.f64 k k) 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 (*.f64 (*.f64 k k) t)) (*.f64 k k)) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (neg.f64 (/.f64 l (*.f64 (*.f64 k k) t))) (*.f64 k k)) (+.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 #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (/.f64 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 #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (/.f64 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 l) (*.f64 k k)) (/.f64 #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 l l) (*.f64 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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 k k)) (*.f64 #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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 l #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (/.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 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (sqrt.f64 (*.f64 t t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 (*.f64 (sqrt.f64 l) (sqrt.f64 l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 (neg.f64 k) k)) (*.f64 k k))) (*.f64 #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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) k))) t) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) k))) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 #s(approx (* (* (tan k) (sin k)) (* (/ t l) t)) (/.f64 (*.f64 (*.f64 (*.f64 k t) k) t) l)) (/.f64 k t)) (/.f64 k t))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 #s(approx (* (* (tan k) (sin k)) (* (/ t l) t)) (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 k t) k) t) #s(literal 1/6 binary64) (*.f64 t t)) l) k) k)) (/.f64 k t)) (/.f64 k t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))) (/.f64 #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 l (pow.f64 k #s(literal 4 binary64))) (*.f64 l #s(literal 2 binary64))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (pow.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 9 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #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 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) (*.f64 (/.f64 l t) (/.f64 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 (*.f64 l l) t) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #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 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 l #s(literal 2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 l #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) k) k #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (/.f64 (*.f64 k k) l))) (-.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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) l) (*.f64 l (*.f64 k k)))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (neg.f64 (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 (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 l l) #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) t) (*.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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 (sqrt.f64 k) #s(literal 8 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64)) k) k)) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) (*.f64 l (*.f64 k k)) (*.f64 l #s(literal 2 binary64))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 k k) t) #s(literal -1/3 binary64) t) k) k)) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 l #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) k)) k)) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 (neg.f64 k) k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.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 k k) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) t) (/.f64 (*.f64 l #s(literal 2 binary64)) t)) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 #s(approx (* (tan k) (sin k)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) k) k)) (pow.f64 (/.f64 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 (fma.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 l l)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) (*.f64 k k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.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 (pow.f64 (neg.f64 l) #s(literal 1 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #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 l (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) t)) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))))) (*.f64 #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 l (*.f64 (*.f64 (exp.f64 (log.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 l) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) #s(approx (/ k (* l (cos k))) (/.f64 k l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) l)) l)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (/.f64 (*.f64 k t) l) k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l #s(approx (cos k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 t l) (*.f64 (/.f64 t l) t)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (/ 2 (pow (/ k t) 2)) (* (pow (sin k) 2) (pow t 3))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (*.f64 (*.f64 (cos.f64 k) l) l))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l #s(approx (cos k) #s(literal 1 binary64)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k))))))
Calls

6 calls:

61.0ms
(/.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))))
37.0ms
l
23.0ms
t
22.0ms
k
19.0ms
(*.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
91.4%1l
91.4%1(*.f64 l l)
91.4%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)))
91.4%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))))
91.4%1t
93.7%2k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes31.0ms (0.3%)

Memory
18.5MiB live, 67.1MiB allocated; 16ms collecting garbage
Counts
78 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (neg.f64 t) (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)) (*.f64 #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 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 k)) (neg.f64 k))) (*.f64 #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 (/.f64 l (*.f64 k k)) (*.f64 (*.f64 k k) 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 (*.f64 (*.f64 k k) t)) (*.f64 k k)) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (neg.f64 (/.f64 l (*.f64 (*.f64 k k) t))) (*.f64 k k)) (+.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 #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (/.f64 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 #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (/.f64 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 l) (*.f64 k k)) (/.f64 #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 l l) (*.f64 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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 k k)) (*.f64 #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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 l #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (/.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 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (sqrt.f64 (*.f64 t t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 (*.f64 (sqrt.f64 l) (sqrt.f64 l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 (neg.f64 k) k)) (*.f64 k k))) (*.f64 #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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) k))) t) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) k))) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 #s(approx (* (* (tan k) (sin k)) (* (/ t l) t)) (/.f64 (*.f64 (*.f64 (*.f64 k t) k) t) l)) (/.f64 k t)) (/.f64 k t))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 #s(approx (* (* (tan k) (sin k)) (* (/ t l) t)) (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 k t) k) t) #s(literal 1/6 binary64) (*.f64 t t)) l) k) k)) (/.f64 k t)) (/.f64 k t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))) (/.f64 #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 l (pow.f64 k #s(literal 4 binary64))) (*.f64 l #s(literal 2 binary64))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (pow.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 9 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #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 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) (*.f64 (/.f64 l t) (/.f64 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 (*.f64 l l) t) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #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 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 l #s(literal 2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 l #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) k) k #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (/.f64 (*.f64 k k) l))) (-.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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) l) (*.f64 l (*.f64 k k)))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (neg.f64 (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 (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 l l) #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) t) (*.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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 (sqrt.f64 k) #s(literal 8 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64)) k) k)) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) (*.f64 l (*.f64 k k)) (*.f64 l #s(literal 2 binary64))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 k k) t) #s(literal -1/3 binary64) t) k) k)) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 l #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) k)) k)) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 (neg.f64 k) k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.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 k k) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) t) (/.f64 (*.f64 l #s(literal 2 binary64)) t)) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 #s(approx (* (tan k) (sin k)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) k) k)) (pow.f64 (/.f64 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 (fma.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 l l)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) (*.f64 k k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.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 (pow.f64 (neg.f64 l) #s(literal 1 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #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 l (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) t)) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))))) (*.f64 #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 l (*.f64 (*.f64 (exp.f64 (log.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 l) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) #s(approx (/ k (* l (cos k))) (/.f64 k l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) l)) l)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (/.f64 (*.f64 k t) l) k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (/.f64 (*.f64 k t) l) k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k))))))
Calls

1 calls:

27.0ms
k
Results
AccuracySegmentsBranch
93.5%2k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes46.0ms (0.4%)

Memory
17.3MiB live, 152.0MiB allocated; 13ms collecting garbage
Counts
77 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (neg.f64 t) (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)) (*.f64 #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 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 k)) (neg.f64 k))) (*.f64 #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 (/.f64 l (*.f64 k k)) (*.f64 (*.f64 k k) 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 (*.f64 (*.f64 k k) t)) (*.f64 k k)) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (neg.f64 (/.f64 l (*.f64 (*.f64 k k) t))) (*.f64 k k)) (+.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 #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (/.f64 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 #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (/.f64 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 l) (*.f64 k k)) (/.f64 #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 l l) (*.f64 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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 k k)) (*.f64 #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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 l #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (/.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 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (sqrt.f64 (*.f64 t t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 (*.f64 (sqrt.f64 l) (sqrt.f64 l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 (neg.f64 k) k)) (*.f64 k k))) (*.f64 #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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) k))) t) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) k))) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 #s(approx (* (* (tan k) (sin k)) (* (/ t l) t)) (/.f64 (*.f64 (*.f64 (*.f64 k t) k) t) l)) (/.f64 k t)) (/.f64 k t))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 #s(approx (* (* (tan k) (sin k)) (* (/ t l) t)) (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 k t) k) t) #s(literal 1/6 binary64) (*.f64 t t)) l) k) k)) (/.f64 k t)) (/.f64 k t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))) (/.f64 #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 l (pow.f64 k #s(literal 4 binary64))) (*.f64 l #s(literal 2 binary64))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (pow.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 9 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #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 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) (*.f64 (/.f64 l t) (/.f64 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 (*.f64 l l) t) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #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 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 l #s(literal 2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 l #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) k) k #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (/.f64 (*.f64 k k) l))) (-.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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) l) (*.f64 l (*.f64 k k)))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (neg.f64 (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 (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 l l) #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) t) (*.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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 (sqrt.f64 k) #s(literal 8 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64)) k) k)) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) (*.f64 l (*.f64 k k)) (*.f64 l #s(literal 2 binary64))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 k k) t) #s(literal -1/3 binary64) t) k) k)) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 l #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) k)) k)) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 (neg.f64 k) k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.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 k k) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) t) (/.f64 (*.f64 l #s(literal 2 binary64)) t)) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 #s(approx (* (tan k) (sin k)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) k) k)) (pow.f64 (/.f64 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 (fma.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 l l)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) (*.f64 k k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.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 (pow.f64 (neg.f64 l) #s(literal 1 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #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 l (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) t)) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))))) (*.f64 #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 l (*.f64 (*.f64 (exp.f64 (log.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 l) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) #s(approx (/ k (* l (cos k))) (/.f64 k l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) l)) l)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 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
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k))))))
Calls

2 calls:

23.0ms
k
19.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
91.4%1(*.f64 l l)
91.4%1k
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes144.0ms (1.2%)

Memory
-20.2MiB live, 222.4MiB allocated; 31ms collecting garbage
Counts
74 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (neg.f64 t) (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)) (*.f64 #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 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 k)) (neg.f64 k))) (*.f64 #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 (/.f64 l (*.f64 k k)) (*.f64 (*.f64 k k) 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 (*.f64 (*.f64 k k) t)) (*.f64 k k)) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (neg.f64 (/.f64 l (*.f64 (*.f64 k k) t))) (*.f64 k k)) (+.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 #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (/.f64 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 #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (/.f64 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 l) (*.f64 k k)) (/.f64 #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 l l) (*.f64 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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 k k)) (*.f64 #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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 l #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (/.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 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (sqrt.f64 (*.f64 t t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 (*.f64 (sqrt.f64 l) (sqrt.f64 l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 (neg.f64 k) k)) (*.f64 k k))) (*.f64 #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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) k))) t) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) k))) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 #s(approx (* (* (tan k) (sin k)) (* (/ t l) t)) (/.f64 (*.f64 (*.f64 (*.f64 k t) k) t) l)) (/.f64 k t)) (/.f64 k t))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 #s(approx (* (* (tan k) (sin k)) (* (/ t l) t)) (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 k t) k) t) #s(literal 1/6 binary64) (*.f64 t t)) l) k) k)) (/.f64 k t)) (/.f64 k t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))) (/.f64 #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 l (pow.f64 k #s(literal 4 binary64))) (*.f64 l #s(literal 2 binary64))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (pow.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 9 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #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 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) (*.f64 (/.f64 l t) (/.f64 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 (*.f64 l l) t) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #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 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 l #s(literal 2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 l #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) k) k #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (/.f64 (*.f64 k k) l))) (-.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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) l) (*.f64 l (*.f64 k k)))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (neg.f64 (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 (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 l l) #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) t) (*.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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 (sqrt.f64 k) #s(literal 8 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64)) k) k)) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) (*.f64 l (*.f64 k k)) (*.f64 l #s(literal 2 binary64))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 k k) t) #s(literal -1/3 binary64) t) k) k)) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 l #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) k)) k)) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 (neg.f64 k) k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.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 k k) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) t) (/.f64 (*.f64 l #s(literal 2 binary64)) t)) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 #s(approx (* (tan k) (sin k)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) k) k)) (pow.f64 (/.f64 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 (fma.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 l l)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) (*.f64 k k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.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 (pow.f64 (neg.f64 l) #s(literal 1 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #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 l (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) t)) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))))) (*.f64 #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 l (*.f64 (*.f64 (exp.f64 (log.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 l) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) (*.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) #s(approx (/ k (* l (cos k))) (/.f64 k l)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) (*.f64 l l)))))
Calls

6 calls:

44.0ms
t
24.0ms
k
22.0ms
(*.f64 l l)
20.0ms
l
16.0ms
(*.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
86.2%2k
78.6%2(*.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)))
78.6%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))))
80.1%2t
86.3%2l
86.3%2(*.f64 l l)
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes126.0ms (1%)

Memory
11.4MiB live, 268.7MiB allocated; 29ms collecting garbage
Counts
72 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (neg.f64 t) (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)) (*.f64 #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 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 k)) (neg.f64 k))) (*.f64 #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 (/.f64 l (*.f64 k k)) (*.f64 (*.f64 k k) 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 (*.f64 (*.f64 k k) t)) (*.f64 k k)) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (neg.f64 (/.f64 l (*.f64 (*.f64 k k) t))) (*.f64 k k)) (+.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 #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (/.f64 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 #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (/.f64 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 l) (*.f64 k k)) (/.f64 #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 l l) (*.f64 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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 k k)) (*.f64 #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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 l #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (/.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 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (sqrt.f64 (*.f64 t t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 (*.f64 (sqrt.f64 l) (sqrt.f64 l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 (neg.f64 k) k)) (*.f64 k k))) (*.f64 #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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) k))) t) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) k))) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 #s(approx (* (* (tan k) (sin k)) (* (/ t l) t)) (/.f64 (*.f64 (*.f64 (*.f64 k t) k) t) l)) (/.f64 k t)) (/.f64 k t))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 #s(approx (* (* (tan k) (sin k)) (* (/ t l) t)) (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 k t) k) t) #s(literal 1/6 binary64) (*.f64 t t)) l) k) k)) (/.f64 k t)) (/.f64 k t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))) (/.f64 #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 l (pow.f64 k #s(literal 4 binary64))) (*.f64 l #s(literal 2 binary64))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (pow.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 9 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #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 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) (*.f64 (/.f64 l t) (/.f64 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 (*.f64 l l) t) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #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 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 l #s(literal 2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 l #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) k) k #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (/.f64 (*.f64 k k) l))) (-.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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) l) (*.f64 l (*.f64 k k)))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (neg.f64 (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 (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 l l) #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) t) (*.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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 (sqrt.f64 k) #s(literal 8 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64)) k) k)) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) (*.f64 l (*.f64 k k)) (*.f64 l #s(literal 2 binary64))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 k k) t) #s(literal -1/3 binary64) t) k) k)) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 l #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) k)) k)) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 (neg.f64 k) k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.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 k k) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) t) (/.f64 (*.f64 l #s(literal 2 binary64)) t)) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 t (/.f64 t l)) (*.f64 #s(approx (* (tan k) (sin k)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) k) k)) (pow.f64 (/.f64 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 (fma.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 l l)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l))) (*.f64 k k))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.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 (pow.f64 (neg.f64 l) #s(literal 1 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #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 l (*.f64 (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) t)) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (exp.f64 (*.f64 (log.f64 k) #s(literal 2 binary64))))) (*.f64 #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 l (*.f64 (*.f64 (exp.f64 (log.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 l) #s(literal 1 binary64))))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
Calls

6 calls:

27.0ms
k
25.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
22.0ms
l
18.0ms
(*.f64 l l)
17.0ms
t
Results
AccuracySegmentsBranch
74.9%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
74.9%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
74.9%1t
74.9%1k
74.9%1(*.f64 l l)
74.9%1l
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes100.0ms (0.8%)

Memory
-0.2MiB live, 178.2MiB allocated; 22ms collecting garbage
Counts
53 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (neg.f64 t) (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)) (*.f64 #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 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 k)) (neg.f64 k))) (*.f64 #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 (/.f64 l (*.f64 k k)) (*.f64 (*.f64 k k) 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 (*.f64 (*.f64 k k) t)) (*.f64 k k)) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (neg.f64 (/.f64 l (*.f64 (*.f64 k k) t))) (*.f64 k k)) (+.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 #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (/.f64 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 #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (/.f64 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 l) (*.f64 k k)) (/.f64 #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 l l) (*.f64 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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 k k)) (*.f64 #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 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 l #s(literal 2 binary64))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) t) (/.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 (/.f64 l (*.f64 (*.f64 k k) t)) k) k) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (sqrt.f64 (*.f64 t t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 t (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 k k)) (*.f64 k k))) (*.f64 #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 (*.f64 (sqrt.f64 l) (sqrt.f64 l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)) (*.f64 (neg.f64 k) k)) (*.f64 k k))) (*.f64 #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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (*.f64 l l) k))) t) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) l) l (*.f64 (/.f64 (*.f64 l l) k) (/.f64 #s(literal 2 binary64) k))) t) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 #s(approx (* (* (tan k) (sin k)) (* (/ t l) t)) (/.f64 (*.f64 (*.f64 (*.f64 k t) k) t) l)) (/.f64 k t)) (/.f64 k t))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (*.f64 #s(approx (* (* (tan k) (sin k)) (* (/ t l) t)) (*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 k t) k) t) #s(literal 1/6 binary64) (*.f64 t t)) l) k) k)) (/.f64 k t)) (/.f64 k t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (pow.f64 k #s(literal 4 binary64))) (/.f64 #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 l (pow.f64 k #s(literal 4 binary64))) (*.f64 l #s(literal 2 binary64))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 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 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (pow.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 9 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #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 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) (*.f64 (/.f64 l t) (/.f64 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 (*.f64 l l) t) (fma.f64 (*.f64 #s(literal -1/3 binary64) k) k #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 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 l #s(literal 2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 l #s(literal 2 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) k) k #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (/.f64 (*.f64 k k) l))) (-.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 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) l) (*.f64 l (*.f64 k k)))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 l #s(literal 2 binary64))) (*.f64 (*.f64 k k) t))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) t) (neg.f64 (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 (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (pow.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) #s(literal 4 binary64))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.f64 (/.f64 l k) (/.f64 l k)))))
Calls

6 calls:

29.0ms
k
16.0ms
t
16.0ms
l
15.0ms
(*.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)))
12.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
72.5%1t
72.5%1(*.f64 l l)
72.5%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
72.5%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
72.5%1l
74.3%2k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes58.0ms (0.5%)

Memory
2.8MiB live, 46.3MiB allocated; 6ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (neg.f64 t) (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)) (*.f64 #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 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 k)) (neg.f64 k))) (*.f64 #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 (/.f64 l (*.f64 k k)) (*.f64 (*.f64 k k) 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 (*.f64 (*.f64 k k) t)) (*.f64 k k)) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 (*.f64 l l) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (neg.f64 (/.f64 l (*.f64 (*.f64 k k) t))) (*.f64 k k)) (+.f64 l l)))
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) t)) (*.f64 k k)) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.f64 (/.f64 l k) (/.f64 l k)))))
Calls

6 calls:

38.0ms
l
4.0ms
k
4.0ms
t
4.0ms
(*.f64 l l)
3.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
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))))
71.4%1t
71.4%1(*.f64 l l)
71.4%1l
73.2%2k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes4.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (neg.f64 t) (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)) (*.f64 #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 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 k)) (neg.f64 k))) (*.f64 #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 (/.f64 l (*.f64 k k)) (*.f64 (*.f64 k k) t)) (+.f64 l l)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 l (*.f64 k k)) (*.f64 (*.f64 k k) t)) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.f64 (/.f64 l k) (/.f64 l k)))))
Calls

1 calls:

3.0ms
k
Results
AccuracySegmentsBranch
73.2%2k
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes23.0ms (0.2%)

Memory
-5.8MiB live, 40.3MiB allocated; 2ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (neg.f64 t) (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)) (*.f64 #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 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.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))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow (* (sqrt k) (sqrt k)) 4)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 k)) (neg.f64 k))) (*.f64 #s(literal 2 binary64) l)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.f64 (/.f64 l k) (/.f64 l k)))))
Calls

6 calls:

8.0ms
t
3.0ms
k
3.0ms
l
3.0ms
(*.f64 l l)
3.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
70.2%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)))
70.2%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))))
70.2%1t
70.2%1(*.f64 l l)
70.2%1l
72.1%2k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes5.0ms (0%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #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 l (*.f64 (*.f64 (neg.f64 t) (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) t)) (*.f64 #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 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #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 (*.f64 l #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l)))
Calls

2 calls:

2.0ms
k
2.0ms
l
Results
AccuracySegmentsBranch
70.2%1l
70.2%1k
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes14.0ms (0.1%)

Memory
-37.5MiB live, 15.5MiB allocated; 15ms 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))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
Calls

6 calls:

9.0ms
t
1.0ms
k
1.0ms
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))))
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
70.2%1t
70.2%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)))
70.2%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))))
70.2%1(*.f64 l l)
70.2%1l
70.2%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

bsearch11.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
9.0ms
4.083776069674589e-121
6.151700309774049e-121
Samples
3.0ms3valid
3.0ms2valid
1.0ms12×0valid
0.0ms1valid
Compiler

Compiled 218 to 157 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
adjust: 2.0ms (31.7% of total)
ival-div: 1.0ms (15.9% of total)
ival-pow2: 1.0ms (15.9% of total)
ival-mult: 1.0ms (15.9% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-tan: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-pow: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory
26.7MiB live, 26.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
9.0ms
1.7871862089352313e-67
2.807863437528144e-47
Samples
3.0ms2valid
2.0ms3valid
1.0ms12×0valid
1.0ms1valid
Compiler

Compiled 206 to 153 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
adjust: 2.0ms (34.1% of total)
ival-div: 1.0ms (17% of total)
ival-pow2: 1.0ms (17% of total)
ival-mult: 1.0ms (17% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-tan: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-pow: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch53.0ms (0.4%)

Memory
8.1MiB live, 96.3MiB allocated; 10ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
48.0ms
1.0041086560963658e-8
226.03621062028313
Samples
16.0ms54×2valid
11.0ms70×0valid
8.0ms14×3valid
5.0ms22×1valid
Compiler

Compiled 958 to 695 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
adjust: 8.0ms (25.6% of total)
ival-div: 5.0ms (16% of total)
ival-sub: 4.0ms (12.8% of total)
ival-mult: 4.0ms (12.8% of total)
ival-pow2: 3.0ms (9.6% of total)
ival-add: 2.0ms (6.4% of total)
ival-pow: 2.0ms (6.4% of total)
ival-sin: 2.0ms (6.4% of total)
ival-tan: 1.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory
-25.2MiB live, 19.0MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
12.0ms
4.6079536438689545e-20
1.5234649730529808e-18
Samples
5.0ms3valid
3.0ms11×2valid
2.0ms12×0valid
1.0ms1valid
Compiler

Compiled 202 to 151 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 3.0ms (32.5% of total)
adjust: 2.0ms (21.7% of total)
ival-pow2: 1.0ms (10.8% of total)
ival-tan: 1.0ms (10.8% of total)
ival-mult: 1.0ms (10.8% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-pow: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch18.0ms (0.1%)

Memory
-5.9MiB live, 46.1MiB allocated; 12ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
4.083776069674589e-121
6.151700309774049e-121
Samples
8.0ms12×0valid
3.0ms3valid
2.0ms2valid
1.0ms1valid
Compiler

Compiled 400 to 285 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
adjust: 2.0ms (32% of total)
ival-div: 1.0ms (16% of total)
ival-pow2: 1.0ms (16% of total)
ival-mult: 1.0ms (16% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-tan: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-pow: 0.0ms (0% of total)
ival-sin: 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
1.1085831548310492e-291
5.956577694340878e-290
Compiler

Compiled 28 to 25 computations (10.7% saved)

bsearch44.0ms (0.4%)

Memory
33.2MiB live, 124.8MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
40.0ms
14784236.035680767
311557460989.969
Samples
15.0ms37×2valid
11.0ms69×0valid
4.0ms17×1valid
4.0ms3valid
Compiler

Compiled 828 to 553 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
adjust: 7.0ms (23.9% of total)
ival-div: 5.0ms (17.1% of total)
ival-tan: 4.0ms (13.7% of total)
ival-mult: 4.0ms (13.7% of total)
ival-sin: 4.0ms (13.7% of total)
ival-pow2: 2.0ms (6.8% of total)
ival-pow: 2.0ms (6.8% of total)
ival-sub: 1.0ms (3.4% of total)
ival-add: 1.0ms (3.4% 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
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
14784236.035680767
311557460989.969
Compiler

Compiled 828 to 545 computations (34.2% saved)

bsearch3.0ms (0%)

Memory
-43.0MiB live, 3.0MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
14784236.035680767
311557460989.969
Compiler

Compiled 828 to 545 computations (34.2% 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
14784236.035680767
311557460989.969
Compiler

Compiled 828 to 553 computations (33.2% saved)

simplify57.0ms (0.5%)

Memory
-8.5MiB live, 59.0MiB allocated; 19ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01591245
12301245
25441177
327331125
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (*.f64 (sin.f64 k) t) (/.f64 k l))) (sin.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))))
(if (<=.f64 k #s(literal 3488825876618913/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 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 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (/.f64 (*.f64 k t) l) k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k)))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k)))))))
(if (<=.f64 k #s(literal 7067388259113537/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l #s(approx (cos k) #s(literal 1 binary64))))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 k l)))))
(if (<=.f64 k #s(literal 5460236245818027/73786976294838206464 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l #s(approx (cos k) #s(literal 1 binary64))))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k)))))))
(if (<=.f64 k #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l #s(approx (cos k) #s(literal 1 binary64))))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k)))))))
(if (<=.f64 k #s(literal 3256237484844319/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 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 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (/.f64 (*.f64 k t) l) k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k)))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k))))))
(if (<=.f64 (*.f64 l l) #s(literal 5617791046444737/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144 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 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k)))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
(if (<=.f64 k #s(literal 25500000 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k)))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.f64 (/.f64 l k) (/.f64 l k))))))
(if (<=.f64 k #s(literal 25500000 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) t)) (*.f64 k k)) (+.f64 l l))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.f64 (/.f64 l k) (/.f64 l k))))))
(if (<=.f64 k #s(literal 25500000 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 l (*.f64 k k)) (*.f64 (*.f64 k k) t)) (+.f64 l l))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.f64 (/.f64 l k) (/.f64 l k))))))
(if (<=.f64 k #s(literal 25500000 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.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 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (*.f64 (sin.f64 k) t) (/.f64 k l))) (sin.f64 k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))))
(if (<=.f64 k #s(literal 3488825876618913/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 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 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (/.f64 (*.f64 k t) l) k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k)))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k)))))))
(if (<=.f64 k #s(literal 7067388259113537/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l #s(approx (cos k) #s(literal 1 binary64))))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 k l)))))
(if (<=.f64 k #s(literal 5460236245818027/73786976294838206464 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l #s(approx (cos k) #s(literal 1 binary64))))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k)))))))
(if (<=.f64 k #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l #s(approx (cos k) #s(literal 1 binary64))))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k)))))))
(if (<=.f64 k #s(literal 3256237484844319/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 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 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (/.f64 (*.f64 k t) l) k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k)))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 k l) (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (tan.f64 k) (sin.f64 k))))))
(if (<=.f64 (*.f64 l l) #s(literal 5617791046444737/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144 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 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k)))))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 (*.f64 k t) k) (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
(if (<=.f64 k #s(literal 25500000 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k)))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.f64 (/.f64 l k) (/.f64 l k))))))
(if (<=.f64 k #s(literal 25500000 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) t)) (*.f64 k k)) (+.f64 l l))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.f64 (/.f64 l k) (/.f64 l k))))))
(if (<=.f64 k #s(literal 25500000 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 l (*.f64 k k)) (*.f64 (*.f64 k k) t)) (+.f64 l l))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.f64 (/.f64 l k) (/.f64 l k))))))
(if (<=.f64 k #s(literal 25500000 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* (* 2 l) l) (* (* -1/3 (* l l)) (* k k))) t) (pow k 4)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (*.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 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (+.f64 l l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (+.f64 l l)))

derivations1.3s (10.6%)

Memory
50.0MiB live, 1 375.9MiB allocated; 148ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04712116
118231940
080281806
068568
0108542
1340524
22004520
08397520
0172704
1663656
23032584
08200547
03981819
114881679
264551633
090991529
067595
0110517
1351481
22418473
08796469
062483
0100483
1285473
21554463
08316463
03881677
114631545
263071500
085351408
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 245 to 162 computations (87% saved)

preprocess255.0ms (2.1%)

Memory
-34.3MiB live, 263.9MiB allocated; 62ms collecting garbage
Remove

(negabs t)

(abs l)

(abs k)

Compiler

Compiled 2 804 to 542 computations (80.7% saved)

end0.0ms (0%)

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

Profiling

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