Toniolo and Linder, Equation (10-)

Time bar (total: 14.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze786.0ms (5.5%)

Memory
25.4MiB live, 1 137.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
0%0%99.9%0.1%0%0%0%7
0%0%99.9%0.1%0%0%0%8
0%0%99.9%0.1%0%0%0%9
2%2%97.9%0.1%0%0%0%10
2.9%2.9%96.9%0.1%0%0%0%11
3.8%3.8%96.1%0.1%0%0%0%12
Compiler

Compiled 27 to 21 computations (22.2% saved)

sample3.2s (22.8%)

Memory
-98.5MiB live, 3 386.8MiB allocated
Samples
894.0ms4 274×0valid
588.0ms1 570×2valid
512.0ms1 245×3valid
412.0ms1 165×1valid
1.0ms4valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-mult: 358.0ms (18.4% of total)
ival-div: 338.0ms (17.4% of total)
adjust: 245.0ms (12.6% of total)
ival-pow2: 219.0ms (11.2% of total)
ival-sin: 219.0ms (11.2% of total)
ival-pow: 188.0ms (9.7% of total)
ival-tan: 169.0ms (8.7% of total)
ival-sub: 102.0ms (5.2% of total)
ival-add: 86.0ms (4.4% of total)
exact: 13.0ms (0.7% of total)
ival-true: 7.0ms (0.4% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain456.0ms (3.2%)

Memory
-2.0MiB live, 568.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
800-2(-4.206084951757872e+201 -2.638172614490692e+153 6.283021454311939e+43)(*.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)))
650-0-(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
630-0-(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
120-0-(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
100-0-(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
11(5.189886934837866e-263 1.7634644604085596e-40 7.39399502014789e+252)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))cancellation631
*.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*o320
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))underflow74
(*.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))underflow89
(pow.f64 t #s(literal 3 binary64))underflow74
(*.f64 l l)underflow64
(/.f64 k t)overflow27
(-.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)))overflow63
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow63
*.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*u290
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow88
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))overflow66
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow78
(pow.f64 t #s(literal 3 binary64))overflow84
(*.f64 l l)overflow68
(/.f64 k t)underflow34
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))underflow78
(pow.f64 (/.f64 k t) #s(literal 2 binary64))underflow78
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/o250
(pow.f64 t #s(literal 3 binary64))overflow84
(*.f64 l l)overflow68
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/u220
(pow.f64 t #s(literal 3 binary64))underflow74
(*.f64 l l)underflow64
*.f64(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))n*o120
*.f64(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))n*o110
*.f64(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))n*o100
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/o70
(*.f64 l l)overflow68
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/n60
(pow.f64 t #s(literal 3 binary64))underflow74
*.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*u60
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/n30
(pow.f64 t #s(literal 3 binary64))overflow84
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/u20
(*.f64 l l)underflow64
/.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/o20
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))overflow66
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow78
(*.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)))overflow61
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow63
(/.f64 k t)overflow27
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow88
(pow.f64 t #s(literal 3 binary64))overflow84
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow63
(*.f64 l l)overflow68
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow63
Confusion
Predicted +Predicted -
+1630
-2568
Precision
0.8670212765957447
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+16300
-25167
Precision?
0.8624338624338624
Recall?
1.0
Freqs
test
numberfreq
068
1148
238
32
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
81.0ms240×0valid
51.0ms122×2valid
35.0ms88×3valid
15.0ms60×1valid
1.0ms4valid
Compiler

Compiled 383 to 80 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 131.0ms
ival-sin: 31.0ms (23.6% of total)
ival-div: 22.0ms (16.7% of total)
adjust: 17.0ms (12.9% of total)
ival-pow2: 17.0ms (12.9% of total)
ival-mult: 14.0ms (10.7% of total)
ival-tan: 10.0ms (7.6% of total)
ival-pow: 9.0ms (6.8% of total)
ival-sub: 5.0ms (3.8% of total)
ival-add: 5.0ms (3.8% of total)
ival-true: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)

preprocess190.0ms (1.3%)

Memory
12.6MiB live, 171.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082231
1266207
21315189
01925
03225
16623
222821
3153021
0833321
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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune21.0ms (0.2%)

Memory
-36.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.8%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Compiler

Compiled 25 to 19 computations (24% saved)

simplify195.0ms (1.4%)

Memory
35.3MiB live, 185.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
cost-diff0
(*.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)))
cost-diff0
(/.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))))
cost-diff4
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019118
032114
166110
2228106
31530106
08333106
Stop Event
iter limit
node limit
iter 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))))
#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 #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)))))
#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 (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 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(*.f64 (tan.f64 k) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
(*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) 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))
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal -1 binary64))
#s(literal 1 binary64)
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)

localize104.0ms (0.7%)

Memory
-11.5MiB live, 147.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy2.8844254162361045
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
accuracy13.874544736395563
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy15.389496697846818
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
accuracy18.764911347802386
(*.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)))
Samples
33.0ms44×3valid
23.0ms61×2valid
22.0ms120×0valid
7.0ms30×1valid
0.0ms4valid
Compiler

Compiled 238 to 40 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
adjust: 21.0ms (31.7% of total)
ival-sin: 11.0ms (16.6% of total)
ival-div: 8.0ms (12.1% of total)
ival-mult: 7.0ms (10.6% of total)
ival-pow2: 5.0ms (7.6% of total)
ival-tan: 5.0ms (7.6% of total)
ival-sub: 3.0ms (4.5% of total)
ival-add: 3.0ms (4.5% of total)
ival-pow: 3.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series47.0ms (0.3%)

Memory
-1.8MiB live, 81.6MiB allocated
Counts
5 → 17
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.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 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
Outputs
(/ (pow k 2) (pow t 2))
(* 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) (pow l 2))
(* 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))))
Calls

9 calls:

TimeVariablePointExpression
11.0ms
k
@inf
((- (+ 1 (pow (/ k t) 2)) 1) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (/ (pow t 3) (* l l)))
7.0ms
t
@0
((- (+ 1 (pow (/ k t) 2)) 1) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (/ (pow t 3) (* l l)))
6.0ms
t
@-inf
((- (+ 1 (pow (/ k t) 2)) 1) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (/ (pow t 3) (* l l)))
6.0ms
l
@0
((- (+ 1 (pow (/ k t) 2)) 1) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (/ (pow t 3) (* l l)))
4.0ms
k
@-inf
((- (+ 1 (pow (/ k t) 2)) 1) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (/ (pow t 3) (* l l)))

simplify180.0ms (1.3%)

Memory
9.5MiB live, 209.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106431
1415401
22119357
08120339
Stop Event
iter limit
node limit
Counts
17 → 17
Calls
Call 1
Inputs
(/ (pow k 2) (pow t 2))
(* 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) (pow l 2))
(* 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))))
Outputs
(/ (pow k 2) (pow t 2))
(*.f64 (/.f64 k t) (/.f64 k t))
(* 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) (pow l 2))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) 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 k k) #s(literal -1/3 binary64) #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 k k) #s(literal -1/3 binary64) #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 (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)) (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 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) #s(literal 1/6 binary64) #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 k k) #s(literal 1/6 binary64) #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 k k) #s(literal 1/6 binary64) #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 k k) #s(literal 1/6 binary64) #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))

rewrite214.0ms (1.5%)

Memory
5.5MiB live, 276.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01977
03277
112771
296165
0859065
Stop Event
iter limit
node limit
iter limit
Counts
5 → 1 126
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.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 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
Outputs
(*.f64 (/.f64 (neg.f64 k) #s(literal -1 binary64)) (/.f64 (/.f64 k t) t))
(*.f64 (/.f64 (/.f64 k t) #s(literal -1 binary64)) (/.f64 (neg.f64 k) t))
(*.f64 (/.f64 (/.f64 k t) t) (/.f64 #s(literal 1 binary64) (pow.f64 k #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 k) (fabs.f64 t)) (/.f64 (neg.f64 k) (fabs.f64 t)))
(*.f64 (/.f64 k (fabs.f64 t)) (/.f64 k (fabs.f64 t)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 k t)) t) (/.f64 (sqrt.f64 (/.f64 k t)) (pow.f64 k #s(literal -1 binary64))))
(*.f64 (/.f64 (+.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 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (*.f64 (/.f64 k t) k)) (fabs.f64 (pow.f64 t #s(literal -1 binary64))))
(*.f64 (fabs.f64 k) (fabs.f64 (pow.f64 (*.f64 t (/.f64 t k)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 (/.f64 k t) k) #s(literal 1 binary64)) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 k k) #s(literal 1 binary64)) (pow.f64 (pow.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 k) t) #s(literal 1 binary64)) (pow.f64 (/.f64 (neg.f64 k) t) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 k) (/.f64 k t)) (/.f64 #s(literal -1 binary64) t))
(*.f64 (*.f64 k (/.f64 k t)) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 k t) (neg.f64 k)) (/.f64 #s(literal -1 binary64) t))
(*.f64 (*.f64 (/.f64 k t) k) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #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 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 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 (neg.f64 k) k) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t)))
(*.f64 (*.f64 k k) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(*.f64 (*.f64 k k) (pow.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 2 binary64)))
(*.f64 (*.f64 k k) (pow.f64 t #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 k) t) (/.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 k #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 k) t) (/.f64 (neg.f64 k) t))
(*.f64 (pow.f64 t #s(literal -2 binary64)) (/.f64 k (pow.f64 k #s(literal -1 binary64))))
(*.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 k k))
(*.f64 (expm1.f64 (*.f64 (log1p.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 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (/.f64 k t) (pow.f64 k #s(literal -1 binary64))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.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))) #s(literal -1 binary64)))
(*.f64 (neg.f64 k) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 t k))))
(*.f64 (neg.f64 k) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t k) (neg.f64 t))))
(*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 k t) (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 k #s(literal -1 binary64))))
(*.f64 (/.f64 k t) (/.f64 k t))
(*.f64 k (/.f64 #s(literal 1 binary64) (*.f64 t (/.f64 t k))))
(*.f64 k (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t k) t)))
(*.f64 k (pow.f64 (pow.f64 (*.f64 t (/.f64 t k)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 k (pow.f64 (*.f64 t (/.f64 t k)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 k t)))
(pow.f64 (pow.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 t k) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 k) t) #s(literal 2 binary64))
(pow.f64 (/.f64 t k) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.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 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 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 (pow.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 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 (pow.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))) #s(literal -1 binary64)) (pow.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))) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 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)))) (pow.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))) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))))) (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)))))) (-.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))))))
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(*.f64 (fabs.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) (fabs.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)))
(*.f64 (pow.f64 (/.f64 (neg.f64 l) (pow.f64 t #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 l) (pow.f64 t #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 l) (*.f64 t t)) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 l) t) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 l) t) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 l) (*.f64 t t)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 l (pow.f64 t #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 l (pow.f64 t #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 l (*.f64 t t)) #s(literal -1 binary64)) (pow.f64 (/.f64 l t) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 l t) #s(literal -1 binary64)) (pow.f64 (/.f64 l (*.f64 t t)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(*.f64 (pow.f64 l #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(*.f64 (/.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) l) (/.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) l))
(*.f64 (/.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) l) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l))
(*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) l))
(*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l))
(*.f64 (*.f64 t (/.f64 (neg.f64 t) l)) (/.f64 (neg.f64 t) l))
(*.f64 (*.f64 t (/.f64 (neg.f64 t) l)) (/.f64 t l))
(*.f64 (/.f64 (neg.f64 t) l) (*.f64 t (/.f64 (neg.f64 t) l)))
(*.f64 (/.f64 (neg.f64 t) l) (/.f64 (*.f64 t t) l))
(*.f64 (/.f64 (*.f64 t t) l) (/.f64 (neg.f64 t) l))
(*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l))
(*.f64 (/.f64 t l) (*.f64 t (/.f64 (neg.f64 t) l)))
(*.f64 (/.f64 t l) (/.f64 (*.f64 t t) l))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (/.f64 #s(literal -1 binary64) l))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 l #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 l #s(literal -2 binary64)) (pow.f64 t #s(literal 3 binary64))))
(*.f64 (pow.f64 l #s(literal -2 binary64)) (pow.f64 (pow.f64 t #s(literal -3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 l #s(literal -2 binary64)) (pow.f64 t #s(literal 3 binary64)))
(*.f64 (*.f64 t t) (*.f64 t (pow.f64 l #s(literal -2 binary64))))
(*.f64 (pow.f64 t #s(literal 3 binary64)) (neg.f64 (pow.f64 l #s(literal -2 binary64))))
(*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 l #s(literal -2 binary64)))
(*.f64 t (*.f64 (/.f64 t l) (/.f64 t l)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal -2 binary64)) (pow.f64 t #s(literal 3 binary64))))
(pow.f64 (/.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) l) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 l l) (pow.f64 t #s(literal -3 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (neg.f64 l))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/.f64 (pow.f64 t #s(literal 3/2 binary64)) (/.f64 (*.f64 l l) (pow.f64 t #s(literal 3/2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 l l) (pow.f64 t #s(literal -3 binary64))))
(/.f64 (*.f64 t t) (/.f64 (*.f64 l l) t))
(/.f64 (*.f64 (pow.f64 l #s(literal -2 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 (neg.f64 l) l))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(/.f64 t (*.f64 (/.f64 l t) (/.f64 l t)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) (pow.f64 t #s(literal -3 binary64))))
(neg.f64 (*.f64 (pow.f64 l #s(literal -2 binary64)) (pow.f64 t #s(literal 3 binary64))))
(fma.f64 (cosh.f64 (*.f64 (log.f64 t) #s(literal 3 binary64))) (pow.f64 l #s(literal -2 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 t) #s(literal 3 binary64))) (pow.f64 l #s(literal -2 binary64))))
(fma.f64 (pow.f64 l #s(literal -2 binary64)) (cosh.f64 (*.f64 (log.f64 t) #s(literal 3 binary64))) (*.f64 (pow.f64 l #s(literal -2 binary64)) (sinh.f64 (*.f64 (log.f64 t) #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 l) l)) (*.f64 (pow.f64 l #s(literal -2 binary64)) (pow.f64 t #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 l l)) (*.f64 (pow.f64 l #s(literal -2 binary64)) (pow.f64 t #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 l #s(literal -2 binary64)) (pow.f64 t #s(literal 3 binary64))))
(fabs.f64 (*.f64 (pow.f64 l #s(literal -2 binary64)) (pow.f64 t #s(literal 3 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 t) #s(literal 3 binary64)) (*.f64 (log.f64 l) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 l l) (pow.f64 t #s(literal -3 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 t) #s(literal 3 binary64))) (pow.f64 l #s(literal -2 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 t) #s(literal 3 binary64))) (pow.f64 l #s(literal -2 binary64))))
(+.f64 (*.f64 (pow.f64 l #s(literal -2 binary64)) (cosh.f64 (*.f64 (log.f64 t) #s(literal 3 binary64)))) (*.f64 (pow.f64 l #s(literal -2 binary64)) (sinh.f64 (*.f64 (log.f64 t) #s(literal 3 binary64)))))
(+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 t) #s(literal 3 binary64))) (*.f64 l l)) (/.f64 (sinh.f64 (*.f64 (log.f64 t) #s(literal 3 binary64))) (*.f64 l l)))
(+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 t) #s(literal 3 binary64))) (*.f64 (neg.f64 l) l)) (/.f64 (sinh.f64 (*.f64 (log.f64 t) #s(literal 3 binary64))) (*.f64 (neg.f64 l) l)))

eval192.0ms (1.4%)

Memory
27.8MiB live, 212.5MiB allocated
Compiler

Compiled 42 673 to 3 369 computations (92.1% saved)

prune95.0ms (0.7%)

Memory
-60.4MiB live, 130.1MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New1 126171 143
Fresh000
Picked101
Done000
Total1 127171 144
Accuracy
94.3%
Counts
1 144 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (tan.f64 k)) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
46.4%
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))) l) (/.f64 (tan.f64 k) l) (*.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))))))
39.8%
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 l t)) (*.f64 (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))))))
50.5%
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (/.f64 #s(literal 1 binary64) (tan.f64 k))))
50.3%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
34.1%
(/.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 k k) (*.f64 t t))))
40.8%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (/.f64 k (*.f64 (/.f64 t k) t))))
51.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 t (*.f64 (/.f64 l t) (/.f64 l t))) (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))))
46.1%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
52.0%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 t (*.f64 (/.f64 t l) (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
70.3%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
91.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
61.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
33.4%
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (tan.f64 k)) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (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))))
47.0%
#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 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
78.0%
#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)))
71.4%
#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 1 114 to 776 computations (30.3% saved)

simplify142.0ms (1%)

Memory
23.2MiB live, 171.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k))
cost-diff0
(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
cost-diff4
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
cost-diff2
(*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l))
cost-diff4
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 k))
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k))
cost-diff0
(*.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))
cost-diff0
#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)))
cost-diff0
(*.f64 (pow.f64 k #s(literal 4 binary64)) t)
cost-diff0
(/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t))
cost-diff0
(*.f64 (/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #s(literal 2 binary64) l))
cost-diff0
#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)))
cost-diff0
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
cost-diff0
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))
cost-diff0
#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)))))
cost-diff0
(/.f64 #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))))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064585
0104587
1210551
2708535
34421535
08906535
Stop Event
iter limit
node limit
iter 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 (*.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))
l
(*.f64 (pow.f64 k #s(literal 4 binary64)) t)
(pow.f64 k #s(literal 4 binary64))
k
#s(literal 4 binary64)
t
(*.f64 #s(literal 2 binary64) 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 (*.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 (/.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 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k))
(*.f64 #s(literal 2 binary64) (cos.f64 k))
#s(literal 2 binary64)
(cos.f64 k)
k
(*.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)
t
(/.f64 (*.f64 l l) k)
(*.f64 l l)
l
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k))
(*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k))
(*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l))
(/.f64 (*.f64 t t) l)
(*.f64 t t)
t
l
(/.f64 t 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)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k))
(*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k))
(pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64))
(/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)
(pow.f64 t #s(literal 3/2 binary64))
t
#s(literal 3/2 binary64)
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 #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) #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)) l) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) 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)))))
#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)) l) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) 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 k (*.f64 (cos.f64 k) l)) l) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) 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 k (*.f64 (cos.f64 k) l))
(*.f64 l (cos.f64 k))
(*.f64 (cos.f64 k) l)
(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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64)))))
(*.f64 (/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #s(literal 2 binary64) l))
(*.f64 (/.f64 (*.f64 l l) t) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 4 binary64))))
(/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t))
l
(*.f64 (pow.f64 k #s(literal 4 binary64)) t)
(pow.f64 k #s(literal 4 binary64))
k
#s(literal 4 binary64)
t
(*.f64 #s(literal 2 binary64) l)
(*.f64 l #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) k) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k)) (/.f64 (cos.f64 k) t))))
(*.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 (/.f64 (*.f64 l l) k) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k)) (/.f64 (cos.f64 k) t)))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k)) (/.f64 (cos.f64 k) t))
(*.f64 #s(literal 2 binary64) (cos.f64 k))
(*.f64 (cos.f64 k) #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 k)
k
(*.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)
t
(/.f64 (*.f64 l l) k)
(*.f64 l l)
l
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (/.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))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (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 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k))
(*.f64 (tan.f64 k) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64))))
(*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k))
(*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))
(*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l))
(pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64))
(/.f64 (*.f64 t t) l)
(*.f64 t t)
t
l
(/.f64 t 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))
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.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))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.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 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k))
(*.f64 (tan.f64 k) (*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64))))
(*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k))
(*.f64 (/.f64 (/.f64 (sin.f64 k) l) l) (pow.f64 t #s(literal 3 binary64)))
(pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64))
(/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)
(pow.f64 t #s(literal 3/2 binary64))
t
#s(literal 3/2 binary64)
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))
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)

localize391.0ms (2.8%)

Memory
7.0MiB live, 485.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.8844254162361045
(*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k))
accuracy6.6849775785058885
(/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)
accuracy13.874544736395563
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy18.764911347802386
(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
accuracy2.8844254162361045
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k))
accuracy7.320885953433194
(/.f64 (*.f64 t t) l)
accuracy13.874544736395563
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy18.764911347802386
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
accuracy0.43315150514047174
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k))
accuracy5.0169667724492175
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
accuracy7.526844107503351
(*.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))
accuracy7.5443095638245605
(/.f64 (*.f64 l l) k)
accuracy2.963494258989208
(*.f64 (/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 #s(literal 2 binary64) l))
accuracy3.0921992007608816
(*.f64 (pow.f64 k #s(literal 4 binary64)) t)
accuracy4.776237918026061
(/.f64 l (*.f64 (pow.f64 k #s(literal 4 binary64)) t))
accuracy12.73837478244749
#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)))
accuracy0.2265625
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
accuracy1.0564831595125064
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))
accuracy3.780299888978008
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
accuracy5.0169667724492175
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
Samples
109.0ms120×0valid
93.0ms61×2valid
78.0ms44×3valid
23.0ms30×1valid
1.0ms4valid
Compiler

Compiled 1 104 to 121 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 205.0ms
ival-mult: 101.0ms (49.3% of total)
ival-div: 29.0ms (14.2% of total)
adjust: 16.0ms (7.8% of total)
ival-pow2: 15.0ms (7.3% of total)
ival-pow: 15.0ms (7.3% of total)
ival-sub: 8.0ms (3.9% of total)
ival-sin: 8.0ms (3.9% of total)
ival-tan: 5.0ms (2.4% of total)
ival-cos: 5.0ms (2.4% of total)
ival-add: 3.0ms (1.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series97.0ms (0.7%)

Memory
-9.7MiB live, 226.2MiB allocated
Counts
25 → 57
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(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)
#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)
#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 (/.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 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k))
(*.f64 #s(literal 2 binary64) (cos.f64 k))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(/.f64 (*.f64 l l) k)
(/.f64 (*.f64 t t) l)
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k))
(/.f64 (pow.f64 t #s(literal 3/2 binary64)) 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)
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ l (* (pow k 4) t))
(* (pow k 4) t)
(* 2 (/ (cos k) (* k (* t (pow (sin k) 2)))))
(/ (pow k 2) (pow t 2))
(/ (pow t 3) (pow l 2))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(* t (pow (sin k) 2))
(/ (pow t 2) l)
(* (/ 1 l) (sqrt (pow t 3)))
(* -2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (* (pow (sin k) 2) (pow (sqrt -1) 2))))))
(* -1 (/ (* (pow k 2) (* t (* (pow (sin k) 2) (pow (sqrt -1) 2)))) (* (pow l 2) (cos k))))
(* -1 (/ (* (pow t 3) (* (pow (sin k) 2) (pow (sqrt -1) 2))) (* (pow l 2) (cos k))))
(* (/ (pow (sqrt -1) 2) l) (sqrt (pow t 3)))
(/ (pow l 2) 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)))
(/ (+ (* 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 3) t))
(/ (+ (* -1/3 (/ (pow k 2) t)) (* 2 (/ 1 t))) (pow k 3))
(/ (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 3))
(/ (+ (* (pow k 2) (- (* (pow k 2) (- (* -31/1512 (/ (pow k 2) t)) (* 7/60 (/ 1 t)))) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 3))
2
(+ 2 (* -1 (pow k 2)))
(+ 2 (* (pow k 2) (- (* 1/12 (pow k 2)) 1)))
(+ 2 (* (pow k 2) (- (* (pow k 2) (+ 1/12 (* -1/360 (pow k 2)))) 1)))
(/ (* (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))))
(* (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))))
(* 2 (cos k))
(pow (sin k) 2)
Calls

9 calls:

TimeVariablePointExpression
22.0ms
t
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* (pow (sin k) 2) t) k) l) (/ k (* l (cos k)))) (/ (* (* (pow (sin k) 2) t) k) l) (/ 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) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/ (* l l) k)) (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (* 2 (cos k)) (- (+ 1 (pow (/ k t) 2)) 1) (* (/ (* t t) l) (/ t l)) (/ 2 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ 2 (* (* (* (pow (/ (pow t 3/2) l) 2) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (pow (/ (pow t 3/2) l) 2) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (pow (/ (pow t 3/2) l) 2) (sin k)) (tan k)) (* (pow (sin k) 2) t) (pow (sin k) 2) (/ (* l l) k) (/ (* t t) l) (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (/ (pow t 3/2) l))
12.0ms
t
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* (pow (sin k) 2) t) k) l) (/ k (* l (cos k)))) (/ (* (* (pow (sin k) 2) t) k) l) (/ 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) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/ (* l l) k)) (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (* 2 (cos k)) (- (+ 1 (pow (/ k t) 2)) 1) (* (/ (* t t) l) (/ t l)) (/ 2 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ 2 (* (* (* (pow (/ (pow t 3/2) l) 2) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (pow (/ (pow t 3/2) l) 2) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (pow (/ (pow t 3/2) l) 2) (sin k)) (tan k)) (* (pow (sin k) 2) t) (pow (sin k) 2) (/ (* l l) k) (/ (* t t) l) (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (/ (pow t 3/2) l))
10.0ms
k
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* (pow (sin k) 2) t) k) l) (/ k (* l (cos k)))) (/ (* (* (pow (sin k) 2) t) k) l) (/ 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) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/ (* l l) k)) (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (* 2 (cos k)) (- (+ 1 (pow (/ k t) 2)) 1) (* (/ (* t t) l) (/ t l)) (/ 2 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ 2 (* (* (* (pow (/ (pow t 3/2) l) 2) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (pow (/ (pow t 3/2) l) 2) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (pow (/ (pow t 3/2) l) 2) (sin k)) (tan k)) (* (pow (sin k) 2) t) (pow (sin k) 2) (/ (* l l) k) (/ (* t t) l) (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (/ (pow t 3/2) l))
10.0ms
k
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* (pow (sin k) 2) t) k) l) (/ k (* l (cos k)))) (/ (* (* (pow (sin k) 2) t) k) l) (/ 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) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/ (* l l) k)) (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (* 2 (cos k)) (- (+ 1 (pow (/ k t) 2)) 1) (* (/ (* t t) l) (/ t l)) (/ 2 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ 2 (* (* (* (pow (/ (pow t 3/2) l) 2) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (pow (/ (pow t 3/2) l) 2) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (pow (/ (pow t 3/2) l) 2) (sin k)) (tan k)) (* (pow (sin k) 2) t) (pow (sin k) 2) (/ (* l l) k) (/ (* t t) l) (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (/ (pow t 3/2) l))
10.0ms
t
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* (pow (sin k) 2) t) k) l) (/ k (* l (cos k)))) (/ (* (* (pow (sin k) 2) t) k) l) (/ 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) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/ (* l l) k)) (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (* 2 (cos k)) (- (+ 1 (pow (/ k t) 2)) 1) (* (/ (* t t) l) (/ t l)) (/ 2 (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/ 2 (* (* (* (pow (/ (pow t 3/2) l) 2) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (pow (/ (pow t 3/2) l) 2) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (pow (/ (pow t 3/2) l) 2) (sin k)) (tan k)) (* (pow (sin k) 2) t) (pow (sin k) 2) (/ (* l l) k) (/ (* t t) l) (* (* (* (/ (* t t) l) (/ t l)) (sin k)) (tan k)) (/ (pow t 3/2) l))

simplify61.0ms (0.4%)

Memory
7.2MiB live, 86.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02981292
011151225
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
57 → 57
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)
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ l (* (pow k 4) t))
(* (pow k 4) t)
(* 2 (/ (cos k) (* k (* t (pow (sin k) 2)))))
(/ (pow k 2) (pow t 2))
(/ (pow t 3) (pow l 2))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(* t (pow (sin k) 2))
(/ (pow t 2) l)
(* (/ 1 l) (sqrt (pow t 3)))
(* -2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (* (pow (sin k) 2) (pow (sqrt -1) 2))))))
(* -1 (/ (* (pow k 2) (* t (* (pow (sin k) 2) (pow (sqrt -1) 2)))) (* (pow l 2) (cos k))))
(* -1 (/ (* (pow t 3) (* (pow (sin k) 2) (pow (sqrt -1) 2))) (* (pow l 2) (cos k))))
(* (/ (pow (sqrt -1) 2) l) (sqrt (pow t 3)))
(/ (pow l 2) 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)))
(/ (+ (* 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 3) t))
(/ (+ (* -1/3 (/ (pow k 2) t)) (* 2 (/ 1 t))) (pow k 3))
(/ (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 3))
(/ (+ (* (pow k 2) (- (* (pow k 2) (- (* -31/1512 (/ (pow k 2) t)) (* 7/60 (/ 1 t)))) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 3))
2
(+ 2 (* -1 (pow k 2)))
(+ 2 (* (pow k 2) (- (* 1/12 (pow k 2)) 1)))
(+ 2 (* (pow k 2) (- (* (pow k 2) (+ 1/12 (* -1/360 (pow k 2)))) 1)))
(/ (* (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))))
(* (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))))
(* 2 (cos k))
(pow (sin k) 2)
Outputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (*.f64 k k) (*.f64 l l)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)))
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (pow.f64 k #s(literal 4 binary64)) 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)
(* 2 (/ (cos k) (* k (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow t 3) (pow l 2))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(* t (pow (sin k) 2))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(/ (pow t 2) l)
(/.f64 (*.f64 t t) l)
(* (/ 1 l) (sqrt (pow t 3)))
(*.f64 (sqrt.f64 (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) l))
(* -2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (* (pow (sin k) 2) (pow (sqrt -1) 2))))))
(*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal -2 binary64))
(* -1 (/ (* (pow k 2) (* t (* (pow (sin k) 2) (pow (sqrt -1) 2)))) (* (pow l 2) (cos k))))
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(* -1 (/ (* (pow t 3) (* (pow (sin k) 2) (pow (sqrt -1) 2))) (* (pow l 2) (cos k))))
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(* (/ (pow (sqrt -1) 2) l) (sqrt (pow t 3)))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) l) (sqrt.f64 (pow.f64 t #s(literal 3 binary64))))
(/ (pow l 2) k)
(/.f64 (*.f64 l l) k)
(/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))
(/.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 l l) t)) #s(literal -1/3 binary64) (*.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 (* (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 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 k k)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64)))
(/ (+ (* 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 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 151/7560 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 7/120 binary64)))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64)))
(/ (* (pow k 4) t) (pow l 2))
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(* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))
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(*.f64 (fma.f64 (fma.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 31/360 binary64) (*.f64 (*.f64 k k) 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) (+ (* 1/6 (/ 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 (fma.f64 (/.f64 t (*.f64 l l)) #s(literal 31/360 binary64) (/.f64 (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t)) (*.f64 l l))) (*.f64 k k) (*.f64 (/.f64 t (*.f64 l l)) #s(literal 1/6 binary64))) (*.f64 k k) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))
(* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))
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(* (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))))
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(* (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))))
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(/ (* (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 (fma.f64 (/.f64 (*.f64 (*.f64 k k) t) l) #s(literal -1/3 binary64) (/.f64 t l)) (pow.f64 k #s(literal 3 binary64)))
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(*.f64 (fma.f64 (fma.f64 (/.f64 t l) #s(literal -1/3 binary64) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) l) #s(literal 2/45 binary64))) (*.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 (fma.f64 (fma.f64 (fma.f64 (/.f64 t l) #s(literal 2/45 binary64) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) l) #s(literal -1/315 binary64))) (*.f64 k k) (*.f64 (/.f64 t l) #s(literal -1/3 binary64))) (*.f64 k k) (/.f64 t l)) (pow.f64 k #s(literal 3 binary64)))
(/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) (*.f64 k k) (/.f64 (*.f64 l l) t))) (pow.f64 k #s(literal 4 binary64)))
(/ (+ (* 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 #s(literal 2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t)))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64)))
(/ (+ (* 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 #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 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t)))) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (/.f64 (*.f64 l l) t))))) (*.f64 k k) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 l l) t)) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal -1/3 binary64) (*.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 l l) t)))))) (*.f64 k k) (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64)))
(/ 2 (* (pow k 3) t))
(/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal 3 binary64)) t))
(/ (+ (* -1/3 (/ (pow k 2) t)) (* 2 (/ 1 t))) (pow k 3))
(/.f64 (fma.f64 (/.f64 (*.f64 k k) t) #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) t)) (pow.f64 k #s(literal 3 binary64)))
(/ (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 3))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -7/60 binary64) (/.f64 (*.f64 k k) t)) (/.f64 #s(literal 1/3 binary64) t)) (*.f64 k k) (/.f64 #s(literal 2 binary64) t)) (pow.f64 k #s(literal 3 binary64)))
(/ (+ (* (pow k 2) (- (* (pow k 2) (- (* -31/1512 (/ (pow k 2) t)) (* 7/60 (/ 1 t)))) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 3))
(/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -31/1512 binary64) (/.f64 (*.f64 k k) t)) (/.f64 #s(literal 7/60 binary64) t)) (*.f64 k k)) (/.f64 #s(literal 1/3 binary64) t)) (*.f64 k k) (/.f64 #s(literal 2 binary64) t)) (pow.f64 k #s(literal 3 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -1 (pow k 2)))
(fma.f64 #s(literal -1 binary64) (*.f64 k k) #s(literal 2 binary64))
(+ 2 (* (pow k 2) (- (* 1/12 (pow k 2)) 1)))
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(+ 2 (* (pow k 2) (- (* (pow k 2) (+ 1/12 (* -1/360 (pow k 2)))) 1)))
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(/ (* (pow k 2) (pow t 3)) (pow l 2))
(*.f64 (*.f64 k k) (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l 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 (*.f64 k k) (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))) #s(literal 1/6 binary64) (/.f64 (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))))
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(* (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))))
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(* (pow k 2) t)
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(*.f64 (fma.f64 (*.f64 (*.f64 k k) t) #s(literal -1/3 binary64) t) (*.f64 k k))
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(*.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 k k) t) (*.f64 k k))
(* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 (*.f64 k k) t) (*.f64 #s(literal 2/45 binary64) t)) (*.f64 k k) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 k k) t) (*.f64 k k))
(pow k 2)
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(* (pow k 2) (+ 1 (* -1/3 (pow k 2))))
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(* 2 (cos k))
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(pow (sin k) 2)
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rewrite234.0ms (1.7%)

Memory
-6.5MiB live, 319.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064423
0104415
1354393
22387393
08328393
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 172
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(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)
#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)
#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 (/.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 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k))
(*.f64 #s(literal 2 binary64) (cos.f64 k))
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(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
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(*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
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(/.f64 (*.f64 l l) k)
(/.f64 (*.f64 t t) l)
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k))
(/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)
Outputs
(*.f64 (pow.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) l) (/.f64 k (cos.f64 k)))) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) l) (/.f64 k (cos.f64 k))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) l) (/.f64 k (cos.f64 k))))))
(*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) l) (/.f64 k (cos.f64 k)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) l) (/.f64 k (cos.f64 k)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l) l) (/.f64 k (cos.f64 k)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
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(exp.f64 (log.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)))
(+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 t) #s(literal 3/2 binary64))) l) (/.f64 (sinh.f64 (*.f64 (log.f64 t) #s(literal 3/2 binary64))) l))
(+.f64 (cosh.f64 (log.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l))) (sinh.f64 (log.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l))))

eval242.0ms (1.7%)

Memory
29.0MiB live, 217.3MiB allocated
Compiler

Compiled 52 848 to 5 495 computations (89.6% saved)

prune92.0ms (0.6%)

Memory
-1.5MiB live, 125.2MiB allocated
Pruning

39 alts after pruning (38 fresh and 1 done)

PrunedKeptTotal
New1 147371 184
Fresh11112
Picked415
Done000
Total1 162391 201
Accuracy
98.5%
Counts
1 201 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.2%
(/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 0 binary64)))))
38.1%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k)) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.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))) #s(literal -1 binary64)))))
54.2%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64))))
40.4%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
61.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (pow.f64 k #s(literal 4 binary64)) (/.f64 t (*.f64 l l)))))
83.0%
(/.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 #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))))))
93.0%
(/.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 t (sin.f64 k)) (sin.f64 k)) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
76.4%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
96.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.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 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 k l))))
28.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 l l) t)) #s(literal -1/3 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
88.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k t)))
78.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))) k))
78.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 l l) k) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))))
47.0%
#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 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
87.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)))
76.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) l) (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) k)))
76.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal -2 binary64) (cos.f64 k))) (*.f64 k (*.f64 (neg.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))))
76.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64))) k)))
71.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 k #s(literal 4 binary64)) t) l)))
78.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 k (/.f64 (*.f64 l l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))))))
72.1%
#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))) t) (*.f64 #s(literal 2 binary64) l)))
71.5%
#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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
61.8%
#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 (*.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) k (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 #s(literal -1 binary64) k (*.f64 (PI.f64) #s(literal 1/2 binary64))))) t) k)) (/.f64 (*.f64 l l) k)))
78.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (*.f64 t (sin.f64 k)) (sin.f64 k)) k)) (/.f64 (*.f64 l l) k)))
68.0%
#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 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
68.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (/.f64 (*.f64 l l) k)))
70.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l #s(literal 2 binary64)) t)))
71.4%
#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)))
73.3%
#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)))
78.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))) (/.f64 (*.f64 l l) k)))
70.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (pow.f64 k #s(literal -4 binary64)) (/.f64 l t)) (*.f64 #s(literal 2 binary64) l)))
75.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
92.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 k) k) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) l) (/.f64 l k)))
87.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal -2 binary64)) (*.f64 k 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) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t)))
76.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l l) (pow.f64 (*.f64 k (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))) #s(literal -1 binary64))))
47.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 (fma.f64 (/.f64 (*.f64 k k) t) #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) t)) (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l l) k)))
64.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal 3 binary64)) t))) (/.f64 (*.f64 l l) k)))
Compiler

Compiled 3 325 to 2 295 computations (31% saved)

simplify177.0ms (1.3%)

Memory
-25.1MiB live, 131.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 l l) (*.f64 k k))
cost-diff0
(*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
cost-diff0
(*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64))
cost-diff0
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k))
cost-diff0
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k))
cost-diff0
#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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
cost-diff1
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 k))
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k))
cost-diff0
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k))
cost-diff0
#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 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
cost-diff0
(/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k)))
cost-diff0
(*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l))
cost-diff0
#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)))
cost-diff4
(*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))
cost-diff0
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))
cost-diff0
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))
cost-diff0
#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)))))
cost-diff0
(/.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))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063644
0100644
1231632
2914612
36577604
08155598
Stop Event
iter limit
node limit
iter 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 (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)))
l
(*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))
(*.f64 t (*.f64 k k))
t
(*.f64 k k)
k
(*.f64 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k))
(*.f64 #s(literal 2 binary64) (cos.f64 k))
#s(literal 2 binary64)
(cos.f64 k)
k
(*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)
(*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t)
#s(approx (pow (sin k) 2) (*.f64 k k))
(*.f64 k k)
t
(/.f64 (*.f64 l l) k)
(*.f64 l l)
l
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k))
(*.f64 #s(literal 2 binary64) (cos.f64 k))
#s(literal 2 binary64)
(cos.f64 k)
k
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))
(cos.f64 (+.f64 k k))
(+.f64 k k)
t
(/.f64 (*.f64 l l) k)
(*.f64 l l)
l
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(/.f64 (*.f64 l l) (*.f64 k k))
(*.f64 l l)
l
(*.f64 k k)
k
(/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
(cos.f64 k)
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
#s(literal 2 binary64)
t
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 (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 k (*.f64 (cos.f64 k) l)) (*.f64 (*.f64 k t) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l)))))
#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(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 (*.f64 k t) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))))
(*.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 k (*.f64 (cos.f64 k) l)) (*.f64 (*.f64 k t) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))
(*.f64 (*.f64 k t) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
k
(*.f64 t (/.f64 k l))
(*.f64 (/.f64 k l) t)
t
(/.f64 k l)
l
(/.f64 k (*.f64 l (cos.f64 k)))
(/.f64 k (*.f64 (cos.f64 k) l))
(*.f64 l (cos.f64 k))
(*.f64 (cos.f64 k) l)
(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)))
#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)) t) (/.f64 l (pow.f64 k #s(literal 4 binary64)))))
(*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l))
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) t) (/.f64 l (pow.f64 k #s(literal 4 binary64))))
(/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k)))
(/.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) t)
l
(*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))
(*.f64 (pow.f64 k #s(literal 4 binary64)) t)
(*.f64 t (*.f64 k k))
(*.f64 (*.f64 k k) t)
t
(*.f64 k k)
k
(*.f64 #s(literal 2 binary64) l)
(*.f64 l #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) k) (/.f64 (/.f64 (*.f64 (/.f64 (cos.f64 k) k) #s(literal 2 binary64)) t) #s(approx (pow (sin k) 2) (*.f64 k k)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k))
(*.f64 (/.f64 (*.f64 l l) k) (/.f64 (/.f64 (*.f64 (/.f64 (cos.f64 k) k) #s(literal 2 binary64)) t) #s(approx (pow (sin k) 2) (*.f64 k k))))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k))
(/.f64 (/.f64 (*.f64 (/.f64 (cos.f64 k) k) #s(literal 2 binary64)) t) #s(approx (pow (sin k) 2) (*.f64 k k)))
(*.f64 #s(literal 2 binary64) (cos.f64 k))
(*.f64 (cos.f64 k) #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 k)
k
(*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)
(*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))
(*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t)
#s(approx (pow (sin k) 2) (*.f64 k k))
(*.f64 k k)
t
(/.f64 (*.f64 l l) k)
(*.f64 l l)
l
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 (cos.f64 k) (/.f64 (/.f64 #s(literal 2 binary64) k) t)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1/2 binary64))) (/.f64 (*.f64 l l) k)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k))
(*.f64 (/.f64 (*.f64 (cos.f64 k) (/.f64 (/.f64 #s(literal 2 binary64) k) t)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1/2 binary64))) (/.f64 (*.f64 l l) k))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k))
(/.f64 (*.f64 (cos.f64 k) (/.f64 (/.f64 #s(literal 2 binary64) k) t)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 k))
(*.f64 (cos.f64 k) #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 k)
k
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)
(*.f64 (*.f64 k t) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t)
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1/2 binary64)) t)
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))
(*.f64 (cos.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 k k))
(cos.f64 (*.f64 #s(literal -2 binary64) k))
(+.f64 k k)
(*.f64 k #s(literal 2 binary64))
t
(/.f64 (*.f64 l l) k)
(*.f64 l l)
l
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 l k) k)) l) (/.f64 (/.f64 (cos.f64 k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 l k) k)) l) (/.f64 (/.f64 (cos.f64 k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(*.f64 (/.f64 (/.f64 (cos.f64 k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 l l) k) k))
(/.f64 (*.f64 l l) (*.f64 k k))
(/.f64 (/.f64 (*.f64 l l) k) k)
(*.f64 l l)
l
(*.f64 k k)
k
(/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
(/.f64 (/.f64 (cos.f64 k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(cos.f64 k)
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
#s(literal 2 binary64)
t

localize374.0ms (2.6%)

Memory
20.6MiB live, 458.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2734375
(/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
accuracy2.67836778381077
(*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
accuracy5.0169667724492175
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
accuracy15.869941787354195
(/.f64 (*.f64 l l) (*.f64 k k))
accuracy5.0169667724492175
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t)
accuracy7.526844107503351
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k))
accuracy7.5443095638245605
(/.f64 (*.f64 l l) k)
accuracy14.937215082853555
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
accuracy5.0169667724492175
(*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t)
accuracy7.526844107503351
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k))
accuracy7.5443095638245605
(/.f64 (*.f64 l l) k)
accuracy28.41292878494751
#s(approx (pow (sin k) 2) (*.f64 k k))
accuracy2.963494258989208
(*.f64 (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l))
accuracy4.776237918026061
(/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k)))
accuracy8.670612412796281
(*.f64 t (*.f64 k k))
accuracy12.73837478244749
#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)))
accuracy0.2265625
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
accuracy1.0564831595125064
(*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))
accuracy2.1092683544650677
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))
accuracy5.155755730845756
(*.f64 t (/.f64 k l))
Samples
113.0ms58×3valid
91.0ms90×0valid
72.0ms75×2valid
23.0ms32×1valid
1.0ms4valid
Compiler

Compiled 1 150 to 118 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 235.0ms
ival-mult: 81.0ms (34.5% of total)
ival-div: 52.0ms (22.2% of total)
ival-cos: 33.0ms (14.1% of total)
adjust: 20.0ms (8.5% of total)
ival-tan: 18.0ms (7.7% of total)
ival-pow2: 9.0ms (3.8% of total)
ival-sin: 8.0ms (3.4% of total)
ival-sub: 5.0ms (2.1% of total)
ival-add: 4.0ms (1.7% of total)
ival-pow: 3.0ms (1.3% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series198.0ms (1.4%)

Memory
26.1MiB live, 259.0MiB allocated
Counts
29 → 64
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(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)))
(*.f64 (*.f64 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 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)))
#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 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k))
(*.f64 #s(literal 2 binary64) (cos.f64 k))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(/.f64 (*.f64 l l) (*.f64 k k))
(*.f64 t (/.f64 k l))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(*.f64 t (*.f64 k k))
#s(approx (pow (sin k) 2) (*.f64 k k))
(/.f64 (*.f64 l l) k)
(*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t)
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t)
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) 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)
(* (pow k 4) t)
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ l (* (pow k 4) t))
(* 2 (/ (cos k) (* k (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (cos k) (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/ (* k t) l)
(* (pow k 2) t)
(* t (pow (sin k) 2))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(/ (cos k) (* t (pow (sin k) 2)))
(/ (pow l 2) (pow k 2))
(/ (pow l 2) 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)))
(/ (+ (* 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 3) t))
(/ (+ (* -1/3 (/ (pow k 2) t)) (* 2 (/ 1 t))) (pow k 3))
(/ (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 3))
(/ (+ (* (pow k 2) (- (* (pow k 2) (- (* -31/1512 (/ (pow k 2) t)) (* 7/60 (/ 1 t)))) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 3))
2
(+ 2 (* -1 (pow k 2)))
(+ 2 (* (pow k 2) (- (* 1/12 (pow k 2)) 1)))
(+ 2 (* (pow k 2) (- (* (pow k 2) (+ 1/12 (* -1/360 (pow k 2)))) 1)))
(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))))
(/ (pow l 2) (* (pow k 4) t))
(/ (+ (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (/ (pow l 2) t)) (pow k 4))
(/ (+ (* (pow k 2) (- (+ (* -1/2 (/ (pow l 2) t)) (* (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)))))) (* -1/3 (/ (pow l 2) t)))) (/ (pow l 2) t)) (pow k 4))
(/ (+ (* (pow k 2) (- (+ (* -1/2 (/ (pow l 2) t)) (* (pow k 2) (- (+ (* 1/24 (/ (pow l 2) t)) (* (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))))))))) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* -1/3 (/ (pow l 2) t)))) (/ (pow l 2) t)) (pow k 4))
(* (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)))))))
(/ 1 (* (pow k 2) t))
(/ (+ (* -1/6 (/ (pow k 2) t)) (/ 1 t)) (pow k 2))
(/ (+ (* (pow k 2) (- (* -7/120 (/ (pow k 2) t)) (* 1/6 (/ 1 t)))) (/ 1 t)) (pow k 2))
(/ (+ (* (pow k 2) (- (* (pow k 2) (- (* -31/3024 (/ (pow k 2) t)) (* 7/120 (/ 1 t)))) (* 1/6 (/ 1 t)))) (/ 1 t)) (pow k 2))
(* 2 (cos k))
(- 1/2 (* 1/2 (cos (* 2 k))))
(pow (sin k) 2)
(- 1/2 (* 1/2 (cos (neg (* -2 k)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
(* 2 (/ (cos k) (* k (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
(* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))
Calls

9 calls:

TimeVariablePointExpression
64.0ms
k
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (pow (sin k) 2) (* t (/ k l))) (/ k (* l (cos k)))) (* (pow (sin k) 2) (* t (/ k l))) (* (* t (* k k)) (* k 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))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/ (* l l) k)) (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (* 2 (cos k)) (- 1/2 (* 1/2 (cos (+ k k)))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (/ (* l l) (* k k)) (/ (cos k) (* (pow (sin k) 2) t))) 2) (* (/ (* l l) (* k k)) (/ (cos k) (* (pow (sin k) 2) t))) (/ (* l l) (* k k)) (* t (/ k l)) (pow (sin k) 2) (* t (* k k)) (pow (sin k) 2) (/ (* l l) k) (* (pow (sin k) 2) t) (* (- 1/2 (* 1/2 (cos (+ k k)))) t) (* (pow (sin k) 2) t) (/ (cos k) (* (pow (sin k) 2) t)))
15.0ms
t
@0
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (pow (sin k) 2) (* t (/ k l))) (/ k (* l (cos k)))) (* (pow (sin k) 2) (* t (/ k l))) (* (* t (* k k)) (* k 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))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/ (* l l) k)) (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (* 2 (cos k)) (- 1/2 (* 1/2 (cos (+ k k)))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (/ (* l l) (* k k)) (/ (cos k) (* (pow (sin k) 2) t))) 2) (* (/ (* l l) (* k k)) (/ (cos k) (* (pow (sin k) 2) t))) (/ (* l l) (* k k)) (* t (/ k l)) (pow (sin k) 2) (* t (* k k)) (pow (sin k) 2) (/ (* l l) k) (* (pow (sin k) 2) t) (* (- 1/2 (* 1/2 (cos (+ k k)))) t) (* (pow (sin k) 2) t) (/ (cos k) (* (pow (sin k) 2) t)))
15.0ms
k
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (pow (sin k) 2) (* t (/ k l))) (/ k (* l (cos k)))) (* (pow (sin k) 2) (* t (/ k l))) (* (* t (* k k)) (* k 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))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/ (* l l) k)) (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (* 2 (cos k)) (- 1/2 (* 1/2 (cos (+ k k)))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (/ (* l l) (* k k)) (/ (cos k) (* (pow (sin k) 2) t))) 2) (* (/ (* l l) (* k k)) (/ (cos k) (* (pow (sin k) 2) t))) (/ (* l l) (* k k)) (* t (/ k l)) (pow (sin k) 2) (* t (* k k)) (pow (sin k) 2) (/ (* l l) k) (* (pow (sin k) 2) t) (* (- 1/2 (* 1/2 (cos (+ k k)))) t) (* (pow (sin k) 2) t) (/ (cos k) (* (pow (sin k) 2) t)))
13.0ms
l
@-inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (pow (sin k) 2) (* t (/ k l))) (/ k (* l (cos k)))) (* (pow (sin k) 2) (* t (/ k l))) (* (* t (* k k)) (* k 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))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/ (* l l) k)) (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (* 2 (cos k)) (- 1/2 (* 1/2 (cos (+ k k)))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (/ (* l l) (* k k)) (/ (cos k) (* (pow (sin k) 2) t))) 2) (* (/ (* l l) (* k k)) (/ (cos k) (* (pow (sin k) 2) t))) (/ (* l l) (* k k)) (* t (/ k l)) (pow (sin k) 2) (* t (* k k)) (pow (sin k) 2) (/ (* l l) k) (* (pow (sin k) 2) t) (* (- 1/2 (* 1/2 (cos (+ k k)))) t) (* (pow (sin k) 2) t) (/ (cos k) (* (pow (sin k) 2) t)))
12.0ms
l
@inf
((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (pow (sin k) 2) (* t (/ k l))) (/ k (* l (cos k)))) (* (pow (sin k) 2) (* t (/ k l))) (* (* t (* k k)) (* k 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))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/ (* l l) k)) (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (* 2 (cos k)) (- 1/2 (* 1/2 (cos (+ k k)))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (/ (* l l) (* k k)) (/ (cos k) (* (pow (sin k) 2) t))) 2) (* (/ (* l l) (* k k)) (/ (cos k) (* (pow (sin k) 2) t))) (/ (* l l) (* k k)) (* t (/ k l)) (pow (sin k) 2) (* t (* k k)) (pow (sin k) 2) (/ (* l l) k) (* (pow (sin k) 2) t) (* (- 1/2 (* 1/2 (cos (+ k k)))) t) (* (pow (sin k) 2) t) (/ (cos k) (* (pow (sin k) 2) t)))

simplify319.0ms (2.2%)

Memory
-43.3MiB live, 244.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03191479
111521378
250591340
080831254
Stop Event
iter limit
node limit
Counts
64 → 64
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)
(* (pow k 4) t)
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ l (* (pow k 4) t))
(* 2 (/ (cos k) (* k (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (cos k) (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/ (* k t) l)
(* (pow k 2) t)
(* t (pow (sin k) 2))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(/ (cos k) (* t (pow (sin k) 2)))
(/ (pow l 2) (pow k 2))
(/ (pow l 2) 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)))
(/ (+ (* 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 3) t))
(/ (+ (* -1/3 (/ (pow k 2) t)) (* 2 (/ 1 t))) (pow k 3))
(/ (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 3))
(/ (+ (* (pow k 2) (- (* (pow k 2) (- (* -31/1512 (/ (pow k 2) t)) (* 7/60 (/ 1 t)))) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 3))
2
(+ 2 (* -1 (pow k 2)))
(+ 2 (* (pow k 2) (- (* 1/12 (pow k 2)) 1)))
(+ 2 (* (pow k 2) (- (* (pow k 2) (+ 1/12 (* -1/360 (pow k 2)))) 1)))
(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))))
(/ (pow l 2) (* (pow k 4) t))
(/ (+ (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (/ (pow l 2) t)) (pow k 4))
(/ (+ (* (pow k 2) (- (+ (* -1/2 (/ (pow l 2) t)) (* (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)))))) (* -1/3 (/ (pow l 2) t)))) (/ (pow l 2) t)) (pow k 4))
(/ (+ (* (pow k 2) (- (+ (* -1/2 (/ (pow l 2) t)) (* (pow k 2) (- (+ (* 1/24 (/ (pow l 2) t)) (* (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))))))))) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* -1/3 (/ (pow l 2) t)))) (/ (pow l 2) t)) (pow k 4))
(* (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)))))))
(/ 1 (* (pow k 2) t))
(/ (+ (* -1/6 (/ (pow k 2) t)) (/ 1 t)) (pow k 2))
(/ (+ (* (pow k 2) (- (* -7/120 (/ (pow k 2) t)) (* 1/6 (/ 1 t)))) (/ 1 t)) (pow k 2))
(/ (+ (* (pow k 2) (- (* (pow k 2) (- (* -31/3024 (/ (pow k 2) t)) (* 7/120 (/ 1 t)))) (* 1/6 (/ 1 t)))) (/ 1 t)) (pow k 2))
(* 2 (cos k))
(- 1/2 (* 1/2 (cos (* 2 k))))
(pow (sin k) 2)
(- 1/2 (* 1/2 (cos (neg (* -2 k)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
(* 2 (/ (cos k) (* k (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
(* t (- 1/2 (* 1/2 (cos (neg (* -2 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 t) k)) (/.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 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)
(* (pow k 4) t)
(*.f64 (pow.f64 k #s(literal 4 binary64)) 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))
(* 2 (/ (cos k) (* k (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 (cos.f64 k) k))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
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(/ 2 (* (pow k 3) t))
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(/ (+ (* -1/3 (/ (pow k 2) t)) (* 2 (/ 1 t))) (pow k 3))
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2
#s(literal 2 binary64)
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(/ (+ (* (pow k 2) (- (+ (* -1/2 (/ (pow l 2) t)) (* (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)))))) (* -1/3 (/ (pow l 2) t)))) (/ (pow l 2) t)) (pow k 4))
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rewrite271.0ms (1.9%)

Memory
26.7MiB live, 181.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063527
0100535
1381451
23093451
09152451
Stop Event
iter limit
node limit
iter limit
Counts
29 → 1 261
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(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)))
(*.f64 (*.f64 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 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)))
#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 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k))
(*.f64 #s(literal 2 binary64) (cos.f64 k))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(/.f64 (*.f64 l l) (*.f64 k k))
(*.f64 t (/.f64 k l))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(*.f64 t (*.f64 k k))
#s(approx (pow (sin k) 2) (*.f64 k k))
(/.f64 (*.f64 l l) k)
(*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t)
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t)
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
Outputs
(*.f64 (pow.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)))) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (pow.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l))))) #s(literal -1 binary64)))
(*.f64 #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 (*.f64 (cos.f64 k) l)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l))))))
(*.f64 #s(literal 2 binary64) (pow.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)))) #s(literal 1/2 binary64))))
(/.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 (*.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 k (*.f64 (cos.f64 k) l)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)))) #s(literal 1/2 binary64)))
(/.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 (*.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 k (*.f64 (cos.f64 k) l)) (*.f64 (*.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 k (*.f64 (cos.f64 k) l)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l))))))
(fma.f64 #s(literal 1 binary64) (pow.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)))) #s(literal -1 binary64)) (pow.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)))) #s(literal -1 binary64)) (pow.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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)))) #s(literal -1 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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.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 k (*.f64 (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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k l) k)) (pow.f64 (*.f64 (cos.f64 k) l) #s(literal -1 binary64)))
(*.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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k l) (/.f64 k (*.f64 (cos.f64 k) l))))
(*.f64 (/.f64 k (*.f64 (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 k (*.f64 (cos.f64 k) l)))
(*.f64 (*.f64 (/.f64 k l) t) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 k (*.f64 (cos.f64 k) l))))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (/.f64 k l) t)))
(*.f64 (sin.f64 k) (*.f64 (sin.f64 k) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (/.f64 k l) t))))
(*.f64 k (*.f64 (pow.f64 (*.f64 (cos.f64 k) l) #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l))))
(pow.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k l) k))) #s(literal -1 binary64))
(/.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 (cos.f64 k)) l)))
(/.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 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)))) (neg.f64 (*.f64 l (/.f64 (cos.f64 k) 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 (cos.f64 k)) l)))
(/.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 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)) #s(literal 1 binary64))) (neg.f64 (*.f64 l (/.f64 (cos.f64 k) 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 (cos.f64 k)) l)))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l))) (neg.f64 (*.f64 l (/.f64 (cos.f64 k) 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 (cos.f64 k)) l))
(/.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 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l))) (*.f64 l (/.f64 (cos.f64 k) k)))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)) (neg.f64 k)) (*.f64 (neg.f64 (cos.f64 k)) l))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)) (/.f64 k l)) (cos.f64 k))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)) #s(literal 1 binary64)) (*.f64 l (/.f64 (cos.f64 k) k)))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k l) k))) (*.f64 (neg.f64 (cos.f64 k)) l))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k l) k)) (*.f64 (cos.f64 k) l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k l) k)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 k l)) (*.f64 l (/.f64 (cos.f64 k) k)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 k) l) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k l) k))))
(*.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 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) t) (pow.f64 l #s(literal -1 binary64)))
(*.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 t (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 k l)))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 1 binary64))) (neg.f64 (/.f64 l k)))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(literal 1 binary64)) (/.f64 l k))
(/.f64 (neg.f64 (*.f64 (neg.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) (neg.f64 (neg.f64 l)))
(/.f64 (*.f64 (neg.f64 t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (/.f64 l k)))
(/.f64 (*.f64 (neg.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (neg.f64 l))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 l k))
(/.f64 (*.f64 (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64))) t) l)
(*.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 k)) (neg.f64 k))
(*.f64 (pow.f64 k #s(literal 4 binary64)) t)
(*.f64 (*.f64 k t) (pow.f64 k #s(literal 3 binary64)))
(*.f64 (*.f64 t (pow.f64 k #s(literal 3 binary64))) k)
(*.f64 (neg.f64 k) (*.f64 (neg.f64 k) (*.f64 (*.f64 k k) t)))
(*.f64 (*.f64 (*.f64 k k) t) (*.f64 k k))
(*.f64 (*.f64 k k) (*.f64 (*.f64 k k) t))
(*.f64 k (*.f64 t (pow.f64 k #s(literal 3 binary64))))
(*.f64 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 l #s(literal 2 binary64)) (/.f64 (/.f64 l t) (pow.f64 k #s(literal 4 binary64)))))
(*.f64 (*.f64 (/.f64 (/.f64 l t) (pow.f64 k #s(literal 4 binary64))) l) #s(literal 2 binary64))
(*.f64 (/.f64 l (*.f64 t (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l #s(literal 2 binary64)) k))
(*.f64 (/.f64 l t) (/.f64 (*.f64 l #s(literal 2 binary64)) (pow.f64 k #s(literal 4 binary64))))
(*.f64 (*.f64 l (pow.f64 k #s(literal -2 binary64))) (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(*.f64 (/.f64 l (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 k k)))
(*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 k #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)) l)
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(*.f64 (*.f64 k k) t)
(*.f64 k (*.f64 k t))
(*.f64 t (*.f64 k k))
#s(approx (pow (sin k) 2) (*.f64 k k))
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(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 3 binary64)))) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 t (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(/.f64 (*.f64 t (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/2 binary64) t (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k))) t))
(fma.f64 t #s(literal 1/2 binary64) (*.f64 t (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k))) t))
(+.f64 (*.f64 t #s(literal 1/2 binary64)) (*.f64 t (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k)))))
(*.f64 (*.f64 t (sin.f64 k)) (sin.f64 k))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(*.f64 (sin.f64 k) (*.f64 (sin.f64 k) t))
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) t)) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 3 binary64)))) t)) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 t (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 t (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 3 binary64)))))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 3 binary64)))) t) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 t (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
(/.f64 (*.f64 t (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/2 binary64) t (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k))) t))
(fma.f64 t #s(literal 1/2 binary64) (*.f64 t (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k))) t))
(+.f64 (*.f64 t #s(literal 1/2 binary64)) (*.f64 t (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k)))))
(*.f64 (pow.f64 (cos.f64 k) #s(literal -2 binary64)) (pow.f64 (/.f64 t (cos.f64 k)) #s(literal -1 binary64)))
(*.f64 (*.f64 (cos.f64 k) (pow.f64 (cos.f64 k) #s(literal -2 binary64))) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cos.f64 k) #s(literal -2 binary64)) t) (pow.f64 (pow.f64 (cos.f64 k) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cos.f64 k) #s(literal -2 binary64)) t) (cos.f64 k))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (cos.f64 k) (pow.f64 (cos.f64 k) #s(literal -2 binary64))))
(*.f64 (neg.f64 (cos.f64 k)) (pow.f64 (*.f64 (neg.f64 t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (cos.f64 k) (/.f64 (pow.f64 (cos.f64 k) #s(literal -2 binary64)) t))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(pow.f64 (/.f64 t (*.f64 (cos.f64 k) (pow.f64 (cos.f64 k) #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (cos.f64 k) t)) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 k) (pow.f64 (cos.f64 k) #s(literal -2 binary64))))) (neg.f64 (neg.f64 t)))
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(/.f64 (neg.f64 (neg.f64 (cos.f64 k))) (neg.f64 (*.f64 (neg.f64 t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 k) #s(literal 1 binary64)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
(/.f64 (*.f64 (cos.f64 k) (pow.f64 (cos.f64 k) #s(literal -2 binary64))) t)
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))))
(/.f64 (neg.f64 (cos.f64 k)) (*.f64 (neg.f64 t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
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(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (cos.f64 k) (pow.f64 (cos.f64 k) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))))
(neg.f64 (/.f64 (neg.f64 (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))
(neg.f64 (/.f64 (cos.f64 k) (*.f64 (neg.f64 t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) #s(literal -1 binary64)))

eval213.0ms (1.5%)

Memory
3.0MiB live, 232.7MiB allocated
Compiler

Compiled 54 291 to 4 840 computations (91.1% saved)

prune167.0ms (1.2%)

Memory
-15.7MiB live, 157.5MiB allocated
Pruning

47 alts after pruning (46 fresh and 1 done)

PrunedKeptTotal
New1 053381 091
Fresh25833
Picked415
Done101
Total1 083471 130
Accuracy
99.9%
Counts
1 130 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.4%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
91.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k l) k)) (cos.f64 k)) l)))
95.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (/.f64 k l) t)))))
83.0%
(/.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 #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))))))
93.0%
(/.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 t (sin.f64 k)) (sin.f64 k)) k) l) (/.f64 k (*.f64 l (cos.f64 k))))))
97.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))))
96.3%
(/.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 k (*.f64 (cos.f64 k) l)) (*.f64 (/.f64 k l) t))))))
28.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 l l) t)) #s(literal -1/3 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
76.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 k t)))
67.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
64.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 t (pow.f64 k #s(literal 3 binary64)))) k))
67.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 k k) t)))
78.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))) k))
47.0%
#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 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
75.6%
#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)))
76.7%
#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 t (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 l l)) (*.f64 k k)))
74.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))))
76.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64))) k)))
89.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))))) (*.f64 (/.f64 (/.f64 k l) l) k)))
93.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) #s(literal 2 binary64)))
78.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) k) k) #s(literal 2 binary64)))
93.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) (cos.f64 k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) t) #s(literal 2 binary64)))
78.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) k) (*.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) k)) #s(literal 2 binary64)))
74.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 k k))) #s(literal 2 binary64)))
60.5%
#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 (fma.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) t) k)) (/.f64 (*.f64 l l) k)))
63.5%
#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 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
45.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
43.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
51.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
61.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
73.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 k k) t) (neg.f64 k)) (neg.f64 k))) (*.f64 #s(literal 2 binary64) l)))
73.3%
#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)))
73.3%
#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)))
72.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 k t) (pow.f64 k #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) l)))
76.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 k k))))
96.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l k) (*.f64 (/.f64 l k) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))))))
75.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (/.f64 l (*.f64 (*.f64 k k) t)))) (*.f64 #s(literal 2 binary64) l)))
92.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) k) l) (/.f64 l k)))
76.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))) l) (/.f64 l k)))
49.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -7/120 binary64) k) k #s(literal -1/6 binary64)) t) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 k t) k))))) #s(literal 2 binary64)))
52.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (*.f64 k t) k)))) #s(literal 2 binary64)))
87.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (neg.f64 l) (/.f64 l (*.f64 (neg.f64 k) k))) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
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) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t)))
77.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (cos.f64 k) (/.f64 (/.f64 #s(literal 2 binary64) t) #s(approx (pow (sin k) 2) (*.f64 k k)))) (pow.f64 (/.f64 l k) #s(literal 2 binary64))))
47.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l l) k)))
92.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 l (*.f64 (/.f64 l k) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) k))))
71.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
Compiler

Compiled 4 305 to 2 911 computations (32.4% saved)

simplify134.0ms (0.9%)

Memory
28.3MiB live, 102.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k))
cost-diff0
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
cost-diff0
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
cost-diff0
(*.f64 #s(literal 2 binary64) (cos.f64 k))
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k))
cost-diff0
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k))
cost-diff0
#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 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
cost-diff0
(*.f64 l l)
cost-diff0
(*.f64 (*.f64 l l) #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t))
cost-diff0
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t)))
cost-diff0
(/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k)))
cost-diff0
(*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l))
cost-diff0
#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)))
cost-diff4
(*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))
cost-diff0
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))
cost-diff0
#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)))))
cost-diff0
(/.f64 #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))))))
cost-diff1
(*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
080727
0121721
1278701
2986689
35383681
08334681
Stop Event
iter limit
node limit
iter 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 (*.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 (*.f64 k t) k) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l)))
(*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l))
(/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k)))
l
(*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))
(*.f64 (*.f64 k t) k)
(*.f64 k t)
k
t
(*.f64 k k)
(*.f64 #s(literal 2 binary64) 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 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t)))
(*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t))
(*.f64 (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 2 binary64)
(/.f64 (pow.f64 k #s(literal -4 binary64)) t)
(pow.f64 k #s(literal -4 binary64))
k
#s(literal -4 binary64)
t
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k))
(*.f64 #s(literal 2 binary64) (cos.f64 k))
#s(literal 2 binary64)
(cos.f64 k)
k
(*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)
#s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k)
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t)
(fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64))
#s(literal -1/3 binary64)
(*.f64 k k)
#s(literal 1 binary64)
t
(/.f64 (*.f64 l l) k)
(*.f64 l l)
l
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k))
(*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k))
(*.f64 (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 2 binary64)
(cos.f64 k)
k
(*.f64 (*.f64 k t) k)
(*.f64 k t)
t
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 2 binary64) k))
(*.f64 #s(literal 2 binary64) k)
#s(literal -1/2 binary64)
#s(literal 1/2 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 (*.f64 (/.f64 k l) t) (sin.f64 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 (*.f64 (cos.f64 k) l)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) (/.f64 t 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 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k)))))
#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 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) (/.f64 t l))))
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))
(*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) k) (/.f64 t 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)) k) (/.f64 t l))
(*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k))
(*.f64 (*.f64 (sin.f64 k) k) (/.f64 t l))
(*.f64 (/.f64 k l) t)
(/.f64 k l)
k
l
t
(sin.f64 k)
(/.f64 k (*.f64 l (cos.f64 k)))
(/.f64 k (*.f64 (cos.f64 k) l))
(*.f64 l (cos.f64 k))
(*.f64 (cos.f64 k) l)
(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 (*.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 l #s(literal 2 binary64)) (/.f64 (/.f64 l t) (pow.f64 k #s(literal 4 binary64)))))
(*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l))
(*.f64 (*.f64 l #s(literal 2 binary64)) (/.f64 (/.f64 l t) (pow.f64 k #s(literal 4 binary64))))
(/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k)))
(/.f64 (/.f64 l t) (pow.f64 k #s(literal 4 binary64)))
l
(*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))
(*.f64 (pow.f64 k #s(literal 4 binary64)) t)
(*.f64 (*.f64 k t) k)
(*.f64 k t)
k
t
(*.f64 k k)
(*.f64 #s(literal 2 binary64) l)
(*.f64 l #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 k #s(literal -4 binary64)) t) l) #s(literal 2 binary64)) l))
(*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t))
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 k #s(literal -4 binary64)) t) l) #s(literal 2 binary64)) l)
(*.f64 (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 2 binary64)
(/.f64 (pow.f64 k #s(literal -4 binary64)) t)
(pow.f64 k #s(literal -4 binary64))
k
#s(literal -4 binary64)
t
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) k) (/.f64 (*.f64 (/.f64 (cos.f64 k) k) #s(literal 2 binary64)) #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k))
(*.f64 (/.f64 (*.f64 l l) k) (/.f64 (*.f64 (/.f64 (cos.f64 k) k) #s(literal 2 binary64)) #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k))))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k))
(/.f64 (*.f64 (/.f64 (cos.f64 k) k) #s(literal 2 binary64)) #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)))
(*.f64 #s(literal 2 binary64) (cos.f64 k))
(*.f64 (cos.f64 k) #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 k)
k
(*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)
#s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k)
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t)
(fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64))
#s(literal -1/3 binary64)
(*.f64 k k)
#s(literal 1 binary64)
t
(/.f64 (*.f64 l l) k)
(*.f64 l l)
l
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 k) k) k) t) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1/2 binary64))) (*.f64 (*.f64 l l) #s(literal 2 binary64)))))
#s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
#s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 k) k) k) t) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1/2 binary64))) (*.f64 (*.f64 l l) #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 (/.f64 (cos.f64 k) k) k) t) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1/2 binary64))) (*.f64 (*.f64 l l) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k))
(*.f64 (*.f64 (/.f64 (cos.f64 k) k) l) (*.f64 l (/.f64 (/.f64 #s(literal 2 binary64) t) k)))
(*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k))
(*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) l)
(*.f64 (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 2 binary64)
(cos.f64 k)
k
(*.f64 (*.f64 k t) k)
(*.f64 k t)
t
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 2 binary64) k))
(cos.f64 (*.f64 #s(literal -2 binary64) k))
(*.f64 #s(literal 2 binary64) k)
(*.f64 k #s(literal 2 binary64))
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)

localize410.0ms (2.9%)

Memory
5.5MiB live, 438.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.24219152173581396
(cos.f64 (*.f64 #s(literal 2 binary64) k))
accuracy2.669592424510082
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
accuracy13.088442496205422
(/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k))
accuracy14.937215082853555
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy3.7617892247641005
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t)
accuracy7.526844107503351
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k))
accuracy7.5443095638245605
(/.f64 (*.f64 l l) k)
accuracy29.285841310955036
#s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k))
accuracy0.00390625
(*.f64 (*.f64 l l) #s(literal 2 binary64))
accuracy2.963135241747141
(/.f64 (pow.f64 k #s(literal -4 binary64)) t)
accuracy12.73837478244749
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t)))
accuracy15.550409810043003
(*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t))
accuracy0.12109375
(*.f64 (*.f64 k t) k)
accuracy2.963494258989208
(*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l))
accuracy4.776237918026061
(/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k)))
accuracy12.73837478244749
#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)))
accuracy0.13671875
(*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k))
accuracy0.6293554045520857
(*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k))
accuracy1.0564831595125064
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))
accuracy5.155755730845756
(*.f64 (/.f64 k l) t)
Samples
127.0ms59×3valid
100.0ms75×2valid
72.0ms90×0valid
27.0ms31×1valid
2.0ms4valid
Compiler

Compiled 1 241 to 154 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 234.0ms
ival-mult: 73.0ms (31.2% of total)
ival-cos: 50.0ms (21.4% of total)
adjust: 30.0ms (12.8% of total)
ival-div: 23.0ms (9.8% of total)
ival-pow2: 18.0ms (7.7% of total)
ival-add: 8.0ms (3.4% of total)
ival-sin: 8.0ms (3.4% of total)
ival-pow: 6.0ms (2.6% of total)
ival-sub: 5.0ms (2.1% of total)
ival-tan: 5.0ms (2.1% of total)
const: 5.0ms (2.1% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series103.0ms (0.7%)

Memory
11.5MiB live, 241.9MiB allocated
Counts
29 → 71
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.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 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.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 k t) k) (*.f64 k 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 #s(literal 2 binary64) l)))
(*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l))
(/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t)))
(*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t))
(*.f64 (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k))
(*.f64 #s(literal 2 binary64) (cos.f64 k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k))
(*.f64 (/.f64 k l) t)
(*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k))
(*.f64 (*.f64 k t) k)
(/.f64 (pow.f64 k #s(literal -4 binary64)) t)
#s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k))
(/.f64 (*.f64 l l) k)
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t)
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 2 binary64) k))
Outputs
(/ (* k (* t (pow (sin k) 2))) l)
(* 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 k 4) t)
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ l (* (pow k 4) t))
(* 2 (/ (cos k) (* k (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) t)))
(/ (* k t) l)
(/ (* k (* t (sin k))) l)
(* (pow k 2) t)
(/ 1 (* (pow k 4) t))
(* t (pow (sin k) 2))
(* t (+ 1 (* -1/3 (pow k 2))))
(* 2 (pow l 2))
(pow l 2)
(/ (pow l 2) k)
(/ (* (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)))
(/ (+ (* -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))))
(/ (+ (* 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 3) t))
(/ (+ (* -1/3 (/ (pow k 2) t)) (* 2 (/ 1 t))) (pow k 3))
(/ (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 3))
(/ (+ (* (pow k 2) (- (* (pow k 2) (- (* -31/1512 (/ (pow k 2) t)) (* 7/60 (/ 1 t)))) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 3))
2
(+ 2 (* -1 (pow k 2)))
(+ 2 (* (pow k 2) (- (* 1/12 (pow k 2)) 1)))
(+ 2 (* (pow k 2) (- (* (pow k 2) (+ 1/12 (* -1/360 (pow k 2)))) 1)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(/ (+ (* -1 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 2))
(/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1 (/ (pow l 2) t)) (* 1/12 (/ (* (pow k 2) (pow l 2)) t))))) (pow k 2))
(/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/360 (/ (* (pow k 2) (pow l 2)) t)) (* 1/12 (/ (pow l 2) t))))))) (pow k 2))
(/ (* (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)))
(* (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)))))))
t
(+ t (* -1/3 (* (pow k 2) 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))))
1
(+ 1 (* -2 (pow k 2)))
(+ 1 (* (pow k 2) (- (* 2/3 (pow k 2)) 2)))
(+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/3 (* -4/45 (pow k 2)))) 2)))
(* 2 (cos k))
(* -1/3 (* (pow k 2) t))
(* (pow k 2) (+ (* -1/3 t) (/ t (pow k 2))))
(+ 1/2 (* -1/2 (cos (* 2 k))))
(cos (* 2 k))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
Calls

9 calls:

TimeVariablePointExpression
15.0ms
l
@inf
((* (* (* (/ k l) t) (sin k)) (sin k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (* (/ k l) t) (sin k)) (sin k)) (/ k (* l (cos k)))) (* (* (* k t) k) (* k k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (* (* k t) k) (* k k))) (* 2 l)) (/ l (* (* (* k t) k) (* k k))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* l l) 2) (/ (pow k -4) t)) (* (* l l) 2) (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/ (* l l) k)) (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (* 2 (cos k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/ (/ (* (* (* l l) 2) (cos k)) (* (* k t) k)) (+ (* (cos (* 2 k)) -1/2) 1/2)) (/ (* (* (* l l) 2) (cos k)) (* (* k t) k)) (* (/ k l) t) (* (* (/ k l) t) (sin k)) (* (* k t) k) (/ (pow k -4) t) (* (pow (sin k) 2) t) (/ (* l l) k) (* (+ (* -1/3 (* k k)) 1) t) (+ (* (cos (* 2 k)) -1/2) 1/2) (cos (* 2 k)))
15.0ms
t
@0
((* (* (* (/ k l) t) (sin k)) (sin k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (* (/ k l) t) (sin k)) (sin k)) (/ k (* l (cos k)))) (* (* (* k t) k) (* k k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (* (* k t) k) (* k k))) (* 2 l)) (/ l (* (* (* k t) k) (* k k))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* l l) 2) (/ (pow k -4) t)) (* (* l l) 2) (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/ (* l l) k)) (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (* 2 (cos k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/ (/ (* (* (* l l) 2) (cos k)) (* (* k t) k)) (+ (* (cos (* 2 k)) -1/2) 1/2)) (/ (* (* (* l l) 2) (cos k)) (* (* k t) k)) (* (/ k l) t) (* (* (/ k l) t) (sin k)) (* (* k t) k) (/ (pow k -4) t) (* (pow (sin k) 2) t) (/ (* l l) k) (* (+ (* -1/3 (* k k)) 1) t) (+ (* (cos (* 2 k)) -1/2) 1/2) (cos (* 2 k)))
12.0ms
t
@inf
((* (* (* (/ k l) t) (sin k)) (sin k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (* (/ k l) t) (sin k)) (sin k)) (/ k (* l (cos k)))) (* (* (* k t) k) (* k k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (* (* k t) k) (* k k))) (* 2 l)) (/ l (* (* (* k t) k) (* k k))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* l l) 2) (/ (pow k -4) t)) (* (* l l) 2) (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/ (* l l) k)) (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (* 2 (cos k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/ (/ (* (* (* l l) 2) (cos k)) (* (* k t) k)) (+ (* (cos (* 2 k)) -1/2) 1/2)) (/ (* (* (* l l) 2) (cos k)) (* (* k t) k)) (* (/ k l) t) (* (* (/ k l) t) (sin k)) (* (* k t) k) (/ (pow k -4) t) (* (pow (sin k) 2) t) (/ (* l l) k) (* (+ (* -1/3 (* k k)) 1) t) (+ (* (cos (* 2 k)) -1/2) 1/2) (cos (* 2 k)))
11.0ms
l
@0
((* (* (* (/ k l) t) (sin k)) (sin k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (* (/ k l) t) (sin k)) (sin k)) (/ k (* l (cos k)))) (* (* (* k t) k) (* k k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (* (* k t) k) (* k k))) (* 2 l)) (/ l (* (* (* k t) k) (* k k))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* l l) 2) (/ (pow k -4) t)) (* (* l l) 2) (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/ (* l l) k)) (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (* 2 (cos k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/ (/ (* (* (* l l) 2) (cos k)) (* (* k t) k)) (+ (* (cos (* 2 k)) -1/2) 1/2)) (/ (* (* (* l l) 2) (cos k)) (* (* k t) k)) (* (/ k l) t) (* (* (/ k l) t) (sin k)) (* (* k t) k) (/ (pow k -4) t) (* (pow (sin k) 2) t) (/ (* l l) k) (* (+ (* -1/3 (* k k)) 1) t) (+ (* (cos (* 2 k)) -1/2) 1/2) (cos (* 2 k)))
11.0ms
t
@-inf
((* (* (* (/ k l) t) (sin k)) (sin k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (* (* (/ k l) t) (sin k)) (sin k)) (/ k (* l (cos k)))) (* (* (* k t) k) (* k k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ l (* (* (* k t) k) (* k k))) (* 2 l)) (/ l (* (* (* k t) k) (* k k))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* l l) 2) (/ (pow k -4) t)) (* (* l l) 2) (* l l) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/ (* l l) k)) (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (* 2 (cos k)) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/ (/ (* (* (* l l) 2) (cos k)) (* (* k t) k)) (+ (* (cos (* 2 k)) -1/2) 1/2)) (/ (* (* (* l l) 2) (cos k)) (* (* k t) k)) (* (/ k l) t) (* (* (/ k l) t) (sin k)) (* (* k t) k) (/ (pow k -4) t) (* (pow (sin k) 2) t) (/ (* l l) k) (* (+ (* -1/3 (* k k)) 1) t) (+ (* (cos (* 2 k)) -1/2) 1/2) (cos (* 2 k)))

simplify175.0ms (1.2%)

Memory
-21.9MiB live, 254.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03441442
112931354
257581336
081061250
Stop Event
iter limit
node limit
Counts
71 → 70
Calls
Call 1
Inputs
(/ (* k (* t (pow (sin k) 2))) l)
(* 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 k 4) t)
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ l (* (pow k 4) t))
(* 2 (/ (cos k) (* k (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) t)))
(/ (* k t) l)
(/ (* k (* t (sin k))) l)
(* (pow k 2) t)
(/ 1 (* (pow k 4) t))
(* t (pow (sin k) 2))
(* t (+ 1 (* -1/3 (pow k 2))))
(* 2 (pow l 2))
(pow l 2)
(/ (pow l 2) k)
(/ (* (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)))
(/ (+ (* -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))))
(/ (+ (* 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 3) t))
(/ (+ (* -1/3 (/ (pow k 2) t)) (* 2 (/ 1 t))) (pow k 3))
(/ (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 3))
(/ (+ (* (pow k 2) (- (* (pow k 2) (- (* -31/1512 (/ (pow k 2) t)) (* 7/60 (/ 1 t)))) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 3))
2
(+ 2 (* -1 (pow k 2)))
(+ 2 (* (pow k 2) (- (* 1/12 (pow k 2)) 1)))
(+ 2 (* (pow k 2) (- (* (pow k 2) (+ 1/12 (* -1/360 (pow k 2)))) 1)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(/ (+ (* -1 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 2))
(/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1 (/ (pow l 2) t)) (* 1/12 (/ (* (pow k 2) (pow l 2)) t))))) (pow k 2))
(/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/360 (/ (* (pow k 2) (pow l 2)) t)) (* 1/12 (/ (pow l 2) t))))))) (pow k 2))
(/ (* (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)))
(* (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)))))))
t
(+ t (* -1/3 (* (pow k 2) 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))))
1
(+ 1 (* -2 (pow k 2)))
(+ 1 (* (pow k 2) (- (* 2/3 (pow k 2)) 2)))
(+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/3 (* -4/45 (pow k 2)))) 2)))
(* 2 (cos k))
(* -1/3 (* (pow k 2) t))
(* (pow k 2) (+ (* -1/3 t) (/ t (pow k 2))))
(+ 1/2 (* -1/2 (cos (* 2 k))))
(cos (* 2 k))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
Outputs
(/ (* k (* t (pow (sin k) 2))) l)
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) l)
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 l l) k) k)) (/.f64 (/.f64 (cos.f64 k) t) (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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k) k) (*.f64 (*.f64 (cos.f64 k) l) l))
(* (pow k 4) t)
(*.f64 (pow.f64 k #s(literal 4 binary64)) 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))
(* 2 (/ (cos k) (* k (* t (pow (sin k) 2)))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 (cos.f64 k) k))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 l l) k) k)) (/.f64 (cos.f64 k) t)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal 1/2 binary64)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 l l) k) k)) (/.f64 (cos.f64 k) t)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal 1/2 binary64)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) t)))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 l l) k) k)) (/.f64 (cos.f64 k) t))
(/ (* k t) l)
(/.f64 (*.f64 t k) l)
(/ (* k (* t (sin k))) l)
(/.f64 (*.f64 (*.f64 (sin.f64 k) t) k) l)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(/ 1 (* (pow k 4) t))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 k #s(literal 4 binary64)) t))
(* t (pow (sin k) 2))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(* t (+ 1 (* -1/3 (pow k 2))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t)
(* 2 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 2 binary64))
(pow l 2)
(*.f64 l l)
(/ (pow l 2) k)
(/.f64 (*.f64 l l) k)
(/ (* (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 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) 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 (/.f64 (fma.f64 (*.f64 t (fma.f64 #s(literal 2/45 binary64) (*.f64 k k) #s(literal -1/3 binary64))) (*.f64 k k) 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 (fma.f64 (/.f64 (fma.f64 (*.f64 t (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64))) (*.f64 k k) (*.f64 #s(literal -1/3 binary64) t)) l) (*.f64 k k) (/.f64 t l)) (pow.f64 k #s(literal 3 binary64)))
(/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) (*.f64 (pow.f64 k #s(literal 4 binary64)) 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 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)) k) k (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64)))
(/ (+ (* 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 (fma.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))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64)))
(/ (* (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 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 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) l) (/.f64 t l) (*.f64 (/.f64 (fma.f64 #s(literal 31/360 binary64) t (*.f64 #s(literal 173/5040 binary64) (*.f64 (*.f64 k k) t))) (*.f64 l l)) (*.f64 k k))) (*.f64 k k) (/.f64 (/.f64 t l) l)) (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 (/.f64 (/.f64 t l) l) #s(literal 2/45 binary64)) (/.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 (/.f64 (/.f64 t l) l) #s(literal -1/315 binary64)) (fma.f64 (-.f64 (*.f64 (/.f64 (/.f64 t l) l) #s(literal 2/45 binary64)) (/.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 (/.f64 (/.f64 t l) l) #s(literal 2/45 binary64)) (/.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)))
(/ (+ (* 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 (*.f64 #s(literal 2 binary64) l) l (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (*.f64 k k))) (*.f64 (pow.f64 k #s(literal 4 binary64)) t))
(/ (+ (* 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 #s(literal 2 binary64) 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 (/.f64 (*.f64 l l) t) #s(literal 2/45 binary64)))) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64)))
(/ (+ (* 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 #s(literal 2 binary64) k) k) (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 (/.f64 (*.f64 l l) t) #s(literal 2/45 binary64)))) #s(literal -1/3 binary64) (fma.f64 (/.f64 (*.f64 l l) t) #s(literal -1/135 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/315 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 (/.f64 (*.f64 l l) t) #s(literal 2/45 binary64))))) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64)))
(/ 2 (* (pow k 3) t))
(/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal 3 binary64)) t))
(/ (+ (* -1/3 (/ (pow k 2) t)) (* 2 (/ 1 t))) (pow k 3))
(/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (pow.f64 k #s(literal 3 binary64)))
(/ (+ (* (pow k 2) (- (* -7/60 (/ (pow k 2) t)) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 3))
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -7/60 binary64) k) k #s(literal -1/3 binary64)) t) (*.f64 k k) (/.f64 #s(literal 2 binary64) t)) (pow.f64 k #s(literal 3 binary64)))
(/ (+ (* (pow k 2) (- (* (pow k 2) (- (* -31/1512 (/ (pow k 2) t)) (* 7/60 (/ 1 t)))) (* 1/3 (/ 1 t)))) (* 2 (/ 1 t))) (pow k 3))
(/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -31/1512 binary64) k) k #s(literal -7/60 binary64)) t) (*.f64 k k) (/.f64 #s(literal -1/3 binary64) t)) (*.f64 k k) (/.f64 #s(literal 2 binary64) t)) (pow.f64 k #s(literal 3 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -1 (pow k 2)))
(-.f64 #s(literal 2 binary64) (*.f64 k k))
(+ 2 (* (pow k 2) (- (* 1/12 (pow k 2)) 1)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))
(+ 2 (* (pow k 2) (- (* (pow k 2) (+ 1/12 (* -1/360 (pow k 2)))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/360 binary64) (*.f64 k k) #s(literal 1/12 binary64)) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal 2 binary64) k))
(/ (+ (* -1 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 2))
(/.f64 (fma.f64 (*.f64 (neg.f64 l) l) (*.f64 k k) (*.f64 (*.f64 l l) #s(literal 2 binary64))) (*.f64 (*.f64 k k) t))
(/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1 (/ (pow l 2) t)) (* 1/12 (/ (* (pow k 2) (pow l 2)) t))))) (pow k 2))
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 k k) (*.f64 #s(literal 1/12 binary64) (*.f64 l l)) (*.f64 (neg.f64 l) l)) t) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 k k))
(/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/360 (/ (* (pow k 2) (pow l 2)) t)) (* 1/12 (/ (pow l 2) t))))))) (pow k 2))
(/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) l) l (*.f64 (*.f64 #s(literal -1/360 binary64) (*.f64 l l)) (*.f64 k k))) t) (*.f64 k k) (/.f64 (*.f64 l l) (neg.f64 t))) (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 k k))
(/ (* (pow k 2) t) l)
(*.f64 (/.f64 (*.f64 t k) 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 #s(literal 1/120 binary64) (*.f64 (*.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 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) t (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 k k) t))) l) (*.f64 k k) (*.f64 #s(literal -1/6 binary64) (/.f64 t l))) (*.f64 k k) (/.f64 t l)) (*.f64 k k))
(* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)
(* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))
(*.f64 (fma.f64 (*.f64 t (fma.f64 #s(literal 2/45 binary64) (*.f64 k k) #s(literal -1/3 binary64))) (*.f64 k k) t) (*.f64 k k))
(* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 t (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64))) (*.f64 k k) (*.f64 #s(literal -1/3 binary64) t)) (*.f64 k k) t) (*.f64 k k))
t
(+ t (* -1/3 (* (pow k 2) t)))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t)
(pow k 2)
(*.f64 k k)
(* (pow k 2) (+ 1 (* -1/3 (pow k 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) k) k)
(* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 k k) #s(literal -1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) k) k)
(* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 k k) #s(literal 2/45 binary64)) (*.f64 k k) #s(literal -1/3 binary64)) (*.f64 k k) #s(literal 1 binary64)) k) k)
1
#s(literal 1 binary64)
(+ 1 (* -2 (pow k 2)))
(fma.f64 #s(literal -2 binary64) (*.f64 k k) #s(literal 1 binary64))
(+ 1 (* (pow k 2) (- (* 2/3 (pow k 2)) 2)))
(fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 k k) #s(literal -2 binary64)) (*.f64 k k) #s(literal 1 binary64))
(+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/3 (* -4/45 (pow k 2)))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4/45 binary64) (*.f64 k k) #s(literal 2/3 binary64)) (*.f64 k k) #s(literal -2 binary64)) (*.f64 k k) #s(literal 1 binary64))
(* 2 (cos k))
(*.f64 (cos.f64 k) #s(literal 2 binary64))
(* -1/3 (* (pow k 2) t))
(*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 k k)) t)
(* (pow k 2) (+ (* -1/3 t) (/ t (pow k 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) t (/.f64 t (*.f64 k k))) k) k)
(+ 1/2 (* -1/2 (cos (* 2 k))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal 1/2 binary64))
(cos (* 2 k))
(cos.f64 (*.f64 #s(literal 2 binary64) k))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 l l) k) k)) (/.f64 (cos.f64 k) t)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal 1/2 binary64)))

rewrite181.0ms (1.3%)

Memory
24.7MiB live, 260.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080587
0121589
1456537
23409527
08856527
Stop Event
iter limit
node limit
iter limit
Counts
29 → 917
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.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 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.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 k t) k) (*.f64 k 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 #s(literal 2 binary64) l)))
(*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l))
(/.f64 l (*.f64 (*.f64 (*.f64 k t) k) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t)))
(*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t))
(*.f64 (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k))
(*.f64 #s(literal 2 binary64) (cos.f64 k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k))
(*.f64 (/.f64 k l) t)
(*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k))
(*.f64 (*.f64 k t) k)
(/.f64 (pow.f64 k #s(literal -4 binary64)) t)
#s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k))
(/.f64 (*.f64 l l) k)
(*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t)
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 2 binary64) k))
Outputs
(*.f64 (*.f64 (sin.f64 k) (/.f64 k l)) (*.f64 (sin.f64 k) t))
(*.f64 (pow.f64 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))
(*.f64 (*.f64 (*.f64 (sin.f64 k) t) (/.f64 k l)) (sin.f64 k))
(*.f64 (sin.f64 k) (*.f64 (*.f64 (sin.f64 k) t) (/.f64 k l)))
(*.f64 (*.f64 t (/.f64 k l)) (pow.f64 (cos.f64 k) #s(literal 2 binary64)))
(*.f64 t (*.f64 (/.f64 k l) (pow.f64 (cos.f64 k) #s(literal 2 binary64))))
(*.f64 (/.f64 k l) (*.f64 (pow.f64 (cos.f64 k) #s(literal 2 binary64)) t))
(/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 k) #s(literal 2 binary64)) k) t) l)
(*.f64 (pow.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (pow.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))) #s(literal -1 binary64)))
(*.f64 #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 (*.f64 (cos.f64 k) l)) (*.f64 (pow.f64 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))))
(*.f64 #s(literal 2 binary64) (pow.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -1 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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))) (*.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))) #s(literal -1 binary64))) (*.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))) (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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal 1 binary64)) (*.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))) #s(literal 1 binary64))) (*.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))) (/.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal 1 binary64))))
(/.f64 (+.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))) (*.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))) #s(literal 1 binary64))) (*.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))) #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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))))
(/.f64 (fma.f64 #s(literal 1 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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))) (*.f64 (/.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal 1 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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal 1 binary64)) (*.f64 (/.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal 1 binary64)) (/.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1 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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) (*.f64 (/.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal 1 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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))))
(/.f64 (fma.f64 #s(literal 1 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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))) (*.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal -1 binary64))) (*.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) (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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal 1 binary64)) (*.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal 1 binary64))) (*.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) (/.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1 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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) (*.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal 1 binary64))) (*.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal 1/2 binary64))))
(/.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.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 (cos.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
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(fma.f64 (+.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 k)) (sin.f64 k)))
(fma.f64 (+.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (neg.f64 (pow.f64 (cos.f64 k) #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (cos.f64 k) #s(literal -2 binary64)) (*.f64 (neg.f64 (sin.f64 k)) (sin.f64 k)))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (cos.f64 k) #s(literal -2 binary64)) (neg.f64 (pow.f64 (cos.f64 k) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (neg.f64 (pow.f64 (cos.f64 k) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 k)) (sin.f64 k)))
(fma.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (pow.f64 (neg.f64 (pow.f64 (cos.f64 k) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (cos.f64 k) #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k))) (pow.f64 (cos.f64 k) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 k)) (sin.f64 k)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k))) (pow.f64 (cos.f64 k) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (cos.f64 k) #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k))))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 k)) (sin.f64 k)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k))))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (cos.f64 k) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 0 binary64) (*.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 k) (cos.f64 k) (*.f64 (neg.f64 (sin.f64 k)) (sin.f64 k)))
(fma.f64 (cos.f64 k) (cos.f64 k) (neg.f64 (pow.f64 (cos.f64 k) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 #s(literal -2 binary64) k))))
(fma.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k)) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k))))
(fma.f64 (sin.f64 k) (neg.f64 (sin.f64 k)) (pow.f64 (cos.f64 k) #s(literal 2 binary64)))
(fma.f64 (sin.f64 k) (cos.f64 k) (*.f64 (cos.f64 k) (sin.f64 k)))
(fma.f64 (sin.f64 k) (sin.f64 k) (*.f64 (neg.f64 (sin.f64 k)) (sin.f64 k)))
(fma.f64 (sin.f64 k) (sin.f64 k) (neg.f64 (pow.f64 (cos.f64 k) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -2 binary64) k (PI.f64)))
(sin.f64 (+.f64 (-.f64 (neg.f64 k) k) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) k) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) k) (fma.f64 (PI.f64) #s(literal 1/2 binary64) k)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) k) (neg.f64 k)))
(sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) k) k))
(sin.f64 (*.f64 #s(literal -2 binary64) k))
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 k k) #s(literal 0 binary64))) (cos.f64 (/.f64 (*.f64 k k) #s(literal 0 binary64)))) (*.f64 (cos.f64 (/.f64 (*.f64 k k) #s(literal 0 binary64))) (sin.f64 (/.f64 (*.f64 k k) #s(literal 0 binary64)))))
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 #s(literal -2 binary64) k))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k))))
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 k #s(literal 3 binary64)) (fma.f64 k k #s(literal 0 binary64)))) (cos.f64 (/.f64 (pow.f64 k #s(literal 3 binary64)) (fma.f64 k k #s(literal 0 binary64))))) (*.f64 (sin.f64 (/.f64 (pow.f64 k #s(literal 3 binary64)) (fma.f64 k k #s(literal 0 binary64)))) (sin.f64 (/.f64 (pow.f64 k #s(literal 3 binary64)) (fma.f64 k k #s(literal 0 binary64))))))
(-.f64 (pow.f64 (cos.f64 k) #s(literal 2 binary64)) (pow.f64 (cos.f64 k) #s(literal 2 binary64)))
(cos.f64 (neg.f64 (-.f64 (neg.f64 k) k)))
(cos.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) k))))
(cos.f64 (neg.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) k) (fma.f64 (PI.f64) #s(literal 1/2 binary64) k))))
(cos.f64 (fma.f64 #s(literal -2 binary64) k (PI.f64)))
(cos.f64 (-.f64 (neg.f64 k) k))
(cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) k) (fma.f64 (PI.f64) #s(literal 1/2 binary64) k)))
(cos.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) k)))
(cos.f64 (*.f64 #s(literal -2 binary64) k))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 k k) #s(literal 0 binary64))) (cos.f64 (/.f64 (*.f64 k k) #s(literal 0 binary64)))) (*.f64 (sin.f64 (/.f64 (*.f64 k k) #s(literal 0 binary64))) (sin.f64 (/.f64 (*.f64 k k) #s(literal 0 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k))) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 #s(literal -2 binary64) k))))
(+.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal -2 binary64) k))))
(+.f64 (*.f64 (sin.f64 k) (neg.f64 (sin.f64 k))) (pow.f64 (cos.f64 k) #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 k #s(literal 3 binary64)) (fma.f64 k k #s(literal 0 binary64)))) (cos.f64 (/.f64 (pow.f64 k #s(literal 3 binary64)) (fma.f64 k k #s(literal 0 binary64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 k #s(literal 3 binary64)) (fma.f64 k k #s(literal 0 binary64)))) (sin.f64 (/.f64 (pow.f64 k #s(literal 3 binary64)) (fma.f64 k k #s(literal 0 binary64))))))
(+.f64 (*.f64 (neg.f64 (sin.f64 k)) (cos.f64 k)) (*.f64 (cos.f64 k) (neg.f64 (sin.f64 k))))
(+.f64 (*.f64 (sin.f64 k) (cos.f64 k)) (*.f64 (cos.f64 k) (sin.f64 k)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (cos.f64 k) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 k)) (sin.f64 k)))
(+.f64 (pow.f64 (cos.f64 k) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 k) #s(literal 2 binary64))))

eval138.0ms (1%)

Memory
-2.8MiB live, 273.5MiB allocated
Compiler

Compiled 67 621 to 4 720 computations (93% saved)

prune174.0ms (1.2%)

Memory
-40.5MiB live, 263.1MiB allocated
Pruning

51 alts after pruning (48 fresh and 3 done)

PrunedKeptTotal
New96619985
Fresh122941
Picked325
Done011
Total981511 032
Accuracy
100.0%
Counts
1 032 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.4%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
91.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (*.f64 (/.f64 k l) k)) (cos.f64 k)) l)))
95.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (/.f64 k l) t)))))
83.0%
(/.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 #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))))))
98.5%
(/.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 (*.f64 (cos.f64 k) l)) (*.f64 (*.f64 (sin.f64 k) t) (/.f64 k l))) (sin.f64 k))))
97.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 k l) t) (sin.f64 k)) (sin.f64 k)) (/.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 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (/.f64 (*.f64 t k) l) k)) (sin.f64 k)) (/.f64 k (*.f64 l (cos.f64 k))))))
97.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 t (/.f64 k l)) (*.f64 (sin.f64 k) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (sin.f64 k))))))
28.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 l l) t)) #s(literal -1/3 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
76.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 k t)))
67.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 t k) k) k)) k))
67.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
67.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 t k) k)))
78.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))) k))
47.0%
#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 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
75.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 t k) k)) (*.f64 #s(literal 2 binary64) l)) (*.f64 k k)))
75.6%
#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)))
76.7%
#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 t (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 l l)) (*.f64 k k)))
74.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))))
62.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) l) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) (*.f64 k k))))
64.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 t k))))
76.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64))) k)))
89.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))))) (*.f64 (/.f64 (/.f64 k l) l) k)))
93.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) #s(literal 2 binary64)))
78.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) k) k) #s(literal 2 binary64)))
77.2%
#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 t k) k)) k) k) (*.f64 #s(literal 2 binary64) l)))
78.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) k) (*.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) k)) #s(literal 2 binary64)))
74.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 k k))) #s(literal 2 binary64)))
64.7%
#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 k)) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 3 binary64)))))
45.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/360 binary64) (*.f64 k k) #s(literal 1/12 binary64)) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
45.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
45.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
43.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
51.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
52.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
61.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
73.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 t k) k) k) k)) (*.f64 #s(literal 2 binary64) l)))
76.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 t k) k) k)) (/.f64 (*.f64 #s(literal 2 binary64) l) k)))
73.3%
#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 t k)) k)) (*.f64 #s(literal 2 binary64) l)))
73.3%
#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)))
96.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l k) (*.f64 (/.f64 l k) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))))))
92.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) k) l) (/.f64 l k)))
49.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -7/120 binary64) k) k #s(literal -1/6 binary64)) t) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 k t) k))))) #s(literal 2 binary64)))
52.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (*.f64 k t) k)))) #s(literal 2 binary64)))
77.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (cos.f64 k) (/.f64 (/.f64 #s(literal 2 binary64) t) #s(approx (pow (sin k) 2) (*.f64 k k)))) (pow.f64 (/.f64 l k) #s(literal 2 binary64))))
47.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l l) k)))
92.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 l (*.f64 (/.f64 l k) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) k))))
70.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (/.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) k)) k) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
71.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
39.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 #s(approx (cos (* 2 k)) #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
60.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 #s(approx (/ (* (* (* l l) 2) (cos k)) (* (* k t) k)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal 2 binary64) k))) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
Compiler

Compiled 7 497 to 2 303 computations (69.3% saved)

regimes260.0ms (1.8%)

Memory
23.7MiB live, 303.2MiB allocated
Counts
112 → 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 #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 k) (*.f64 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 (*.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 l (*.f64 (*.f64 (*.f64 (*.f64 t k) k) 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 (*.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 l (*.f64 (*.f64 k k) t)) (/.f64 (*.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 l (*.f64 (*.f64 (*.f64 t k) k) k)) (/.f64 (*.f64 #s(literal 2 binary64) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) 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 l (*.f64 (*.f64 t k) k)) (*.f64 #s(literal 2 binary64) 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 l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 t k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 t k) k) 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 t k) k)) 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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (/.f64 l (*.f64 (*.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 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (*.f64 k t) k)))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -7/120 binary64) k) k #s(literal -1/6 binary64)) t) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 k t) k))))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/360 binary64) (*.f64 k k) #s(literal 1/12 binary64)) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (pow.f64 k #s(literal -4 binary64)) (/.f64 l 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 (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 (*.f64 k t) (pow.f64 k #s(literal 3 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 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 t k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l #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))) 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 #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 k #s(literal 4 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 (pow.f64 k #s(literal 4 binary64)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal 3 binary64)) t))) (/.f64 (*.f64 l l) 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 t k)) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 3 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) #s(literal 2 binary64)) (*.f64 t (pow.f64 k #s(literal 3 binary64)))) k))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 #s(approx (cos (* 2 k)) #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 k 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 (*.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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) l) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) 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 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 #s(approx (/ (* (* (* l l) 2) (cos k)) (* (* k t) k)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal 2 binary64) k))) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 l l) t)) #s(literal -1/3 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 l (*.f64 (/.f64 l k) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.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 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) k) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l k) (*.f64 (/.f64 l k) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) k) k) #s(literal 2 binary64)))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 l l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) t) k)) (/.f64 (*.f64 l l) k)))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 k (/.f64 (*.f64 l l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))))) (*.f64 (/.f64 (/.f64 k l) l) k)))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (/.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) k)) k) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64))))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l l) (pow.f64 (*.f64 k (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))) #s(literal -1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) l) (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) 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 #s(literal -2 binary64) (cos.f64 k))) (*.f64 k (*.f64 (neg.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal -2 binary64)) (*.f64 k t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (neg.f64 l) (/.f64 l (*.f64 (neg.f64 k) k))) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (*.f64 t (sin.f64 k)) (sin.f64 k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 k) k) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k 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 (/.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) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.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 (sin.f64 k) (*.f64 (sin.f64 k) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.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 t (/.f64 k l)) (*.f64 (sin.f64 k) (*.f64 (/.f64 k (*.f64 (cos.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))))))
(/.f64 #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 t (sin.f64 k)) (sin.f64 k)) 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) (*.f64 (/.f64 k l) k)) (cos.f64 k)) 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 (*.f64 k k) (*.f64 t t))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (/.f64 k (*.f64 (/.f64 t k) t))))
#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 (*.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) k (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 (fma.f64 #s(literal -1 binary64) k (*.f64 (PI.f64) #s(literal 1/2 binary64))))) t) k)) (/.f64 (*.f64 l l) k)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 t (*.f64 (/.f64 t l) (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 t (*.f64 (/.f64 l t) (/.f64 l t))) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) (cos.f64 k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) t) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (tan.f64 k)) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (/.f64 #s(literal 1 binary64) (tan.f64 k))))
(/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 0 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 t t) l) (/.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 l t)) (*.f64 (-.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))))))
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))) l) (/.f64 (tan.f64 k) l) (*.f64 (+.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))))))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (tan.f64 k)) (*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))) (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 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(literal 2 binary64)) (sin.f64 k)) (tan.f64 k)) (*.f64 (expm1.f64 (*.f64 (log1p.f64 (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.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))) #s(literal -1 binary64)))))
Outputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (*.f64 (sin.f64 k) t) (/.f64 k l))) (sin.f64 k))))
Calls

6 calls:

80.0ms
k
57.0ms
(*.f64 l l)
33.0ms
l
31.0ms
t
27.0ms
(/.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
98.5%1t
98.5%1l
98.5%1k
98.5%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))))
98.5%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)))
98.5%1(*.f64 l l)
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes200.0ms (1.4%)

Memory
9.4MiB live, 278.4MiB allocated
Counts
93 → 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 #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 k) (*.f64 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 (*.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 l (*.f64 (*.f64 (*.f64 (*.f64 t k) k) 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 (*.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 l (*.f64 (*.f64 k k) t)) (/.f64 (*.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 l (*.f64 (*.f64 (*.f64 t k) k) k)) (/.f64 (*.f64 #s(literal 2 binary64) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) t)) (*.f64 l #s(literal 2 binary64))) (*.f64 k k)))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 t k) k)) k) k) (*.f64 #s(literal 2 binary64) 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 #s(literal 1 binary64) (/.f64 (*.f64 k k) (/.f64 l (*.f64 (*.f64 k k) t)))) (*.f64 #s(literal 2 binary64) l)))
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(/.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 t k) l) k)) (sin.f64 k)) (/.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 #s(literal 1 binary64) (/.f64 k (/.f64 (*.f64 l l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))))) (*.f64 (/.f64 (/.f64 k l) l) 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))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (/.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) k)) k) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) (*.f64 t (*.f64 (sin.f64 k) (tan.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 l l) (pow.f64 (*.f64 k (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))) #s(literal -1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) l) (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) 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 #s(literal -2 binary64) (cos.f64 k))) (*.f64 k (*.f64 (neg.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal -2 binary64)) (*.f64 k t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (neg.f64 l) (/.f64 l (*.f64 (neg.f64 k) k))) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (*.f64 t (sin.f64 k)) (sin.f64 k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 k) k) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k 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 (/.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) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.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 (sin.f64 k) (*.f64 (sin.f64 k) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.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 t (/.f64 k l)) (*.f64 (sin.f64 k) (*.f64 (/.f64 k (*.f64 (cos.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))))))
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 t (/.f64 k l)) (*.f64 (sin.f64 k) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (sin.f64 k))))))
Calls

6 calls:

46.0ms
k
45.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
31.0ms
t
26.0ms
l
25.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
97.8%1l
97.8%1(*.f64 l l)
97.8%1t
97.8%1k
97.8%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
97.8%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes180.0ms (1.3%)

Memory
-29.6MiB live, 294.4MiB allocated
Counts
91 → 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 #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 k) (*.f64 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 (*.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 l (*.f64 (*.f64 (*.f64 (*.f64 t k) k) 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 (*.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 l (*.f64 (*.f64 k k) t)) (/.f64 (*.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 l (*.f64 (*.f64 (*.f64 t k) k) k)) (/.f64 (*.f64 #s(literal 2 binary64) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) 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 l (*.f64 (*.f64 t k) k)) (*.f64 #s(literal 2 binary64) 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 l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 t k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 t k) k) 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 t k) k)) 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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (/.f64 l (*.f64 (*.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 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (*.f64 k t) k)))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -7/120 binary64) k) k #s(literal -1/6 binary64)) t) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 k t) k))))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/360 binary64) (*.f64 k k) #s(literal 1/12 binary64)) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (pow.f64 k #s(literal -4 binary64)) (/.f64 l 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 (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 (*.f64 k t) (pow.f64 k #s(literal 3 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 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 t k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l #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))) 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 #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 k #s(literal 4 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 (pow.f64 k #s(literal 4 binary64)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal 3 binary64)) t))) (/.f64 (*.f64 l l) 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 t k)) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 3 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) #s(literal 2 binary64)) (*.f64 t (pow.f64 k #s(literal 3 binary64)))) k))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 #s(approx (cos (* 2 k)) #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 k 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 (*.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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) l) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) 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 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 #s(approx (/ (* (* (* l l) 2) (cos k)) (* (* k t) k)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal 2 binary64) k))) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 l l) t)) #s(literal -1/3 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 (fma.f64 (/.f64 (*.f64 k k) t) #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) t)) (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) 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 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 k k))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) k) (*.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) 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 l l) (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (cos.f64 k) (/.f64 (/.f64 #s(literal 2 binary64) t) #s(approx (pow (sin k) 2) (*.f64 k k)))) (pow.f64 (/.f64 l k) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 l (*.f64 (/.f64 l k) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.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 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) k) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l k) (*.f64 (/.f64 l k) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) k) 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 l l) k) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.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 (*.f64 l l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) t) k)) (/.f64 (*.f64 l l) 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 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (/.f64 (*.f64 t k) l) k)) (sin.f64 k)) (/.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 #s(literal 1 binary64) (/.f64 k (/.f64 (*.f64 l l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))))) (*.f64 (/.f64 (/.f64 k l) l) 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))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (/.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) k)) k) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) (*.f64 t (*.f64 (sin.f64 k) (tan.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 l l) (pow.f64 (*.f64 k (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))) #s(literal -1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) l) (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) 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 #s(literal -2 binary64) (cos.f64 k))) (*.f64 k (*.f64 (neg.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal -2 binary64)) (*.f64 k t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (neg.f64 l) (/.f64 l (*.f64 (neg.f64 k) k))) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (*.f64 t (sin.f64 k)) (sin.f64 k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 k) k) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k 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 (/.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) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.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 (sin.f64 k) (*.f64 (sin.f64 k) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (/.f64 k l) t))))))
Outputs
#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 t k) k)) k) k) (*.f64 #s(literal 2 binary64) l)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (sin.f64 k) (*.f64 (sin.f64 k) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (/.f64 k l) t))))))
Calls

6 calls:

52.0ms
k
26.0ms
t
26.0ms
l
24.0ms
(*.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)))
24.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
96.3%1t
98.2%2l
96.3%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
96.3%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
98.2%2(*.f64 l l)
96.3%1k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes69.0ms (0.5%)

Memory
13.7MiB live, 98.7MiB allocated
Counts
90 → 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 #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 k) (*.f64 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 (*.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 l (*.f64 (*.f64 (*.f64 (*.f64 t k) k) 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 (*.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 l (*.f64 (*.f64 k k) t)) (/.f64 (*.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 l (*.f64 (*.f64 (*.f64 t k) k) k)) (/.f64 (*.f64 #s(literal 2 binary64) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) 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 l (*.f64 (*.f64 t k) k)) (*.f64 #s(literal 2 binary64) 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 l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 t k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)) (*.f64 k k)))
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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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (neg.f64 l) (/.f64 l (*.f64 (neg.f64 k) k))) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (*.f64 t (sin.f64 k)) (sin.f64 k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 k) k) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k 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 (/.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) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (/.f64 k l) t)))))
Outputs
#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 t k) k)) k) k) (*.f64 #s(literal 2 binary64) l)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (/.f64 k l) t)))))
Calls

2 calls:

41.0ms
l
23.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
97.9%2l
97.9%2(*.f64 l l)
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes152.0ms (1.1%)

Memory
6.1MiB live, 286.9MiB allocated
Counts
89 → 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 #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 k) (*.f64 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 (*.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 l (*.f64 (*.f64 (*.f64 (*.f64 t k) k) 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 (*.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 l (*.f64 (*.f64 k k) t)) (/.f64 (*.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 l (*.f64 (*.f64 (*.f64 t k) k) k)) (/.f64 (*.f64 #s(literal 2 binary64) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) 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 l (*.f64 (*.f64 t k) k)) (*.f64 #s(literal 2 binary64) 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 l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 t k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 t k) k) 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 t k) k)) 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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (/.f64 l (*.f64 (*.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 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (*.f64 k t) k)))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -7/120 binary64) k) k #s(literal -1/6 binary64)) t) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 k t) k))))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/360 binary64) (*.f64 k k) #s(literal 1/12 binary64)) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (pow.f64 k #s(literal -4 binary64)) (/.f64 l 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 (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 (*.f64 k t) (pow.f64 k #s(literal 3 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 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 t k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l #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))) 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 #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 k #s(literal 4 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 (pow.f64 k #s(literal 4 binary64)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal 3 binary64)) t))) (/.f64 (*.f64 l l) 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 t k)) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 3 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) #s(literal 2 binary64)) (*.f64 t (pow.f64 k #s(literal 3 binary64)))) k))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 #s(approx (cos (* 2 k)) #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 k 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 (*.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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) l) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) 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 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 #s(approx (/ (* (* (* l l) 2) (cos k)) (* (* k t) k)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal 2 binary64) k))) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 l l) t)) #s(literal -1/3 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 (fma.f64 (/.f64 (*.f64 k k) t) #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) t)) (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) 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 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 k k))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) k) (*.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) 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 l l) (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (cos.f64 k) (/.f64 (/.f64 #s(literal 2 binary64) t) #s(approx (pow (sin k) 2) (*.f64 k k)))) (pow.f64 (/.f64 l k) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 l (*.f64 (/.f64 l k) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.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 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) k) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l k) (*.f64 (/.f64 l k) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) k) 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 l l) k) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.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 (*.f64 l l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) t) k)) (/.f64 (*.f64 l l) 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 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (/.f64 (*.f64 t k) l) k)) (sin.f64 k)) (/.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 #s(literal 1 binary64) (/.f64 k (/.f64 (*.f64 l l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))))) (*.f64 (/.f64 (/.f64 k l) l) 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))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (/.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) k)) k) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) (*.f64 t (*.f64 (sin.f64 k) (tan.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 l l) (pow.f64 (*.f64 k (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))) #s(literal -1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) l) (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) 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 #s(literal -2 binary64) (cos.f64 k))) (*.f64 k (*.f64 (neg.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal -2 binary64)) (*.f64 k t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (neg.f64 l) (/.f64 l (*.f64 (neg.f64 k) k))) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (*.f64 t (sin.f64 k)) (sin.f64 k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 k) k) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k 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 (/.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))))))
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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (/.f64 k l))) (/.f64 k (*.f64 l (cos.f64 k))))))
Calls

6 calls:

29.0ms
l
27.0ms
k
26.0ms
(*.f64 l l)
25.0ms
t
21.0ms
(*.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
96.2%1k
96.2%1t
96.2%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))))
96.2%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)))
96.2%1l
96.2%1(*.f64 l l)
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes171.0ms (1.2%)

Memory
-6.1MiB live, 265.2MiB allocated
Counts
87 → 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 #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 k) (*.f64 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 (*.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 l (*.f64 (*.f64 (*.f64 (*.f64 t k) k) 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 (*.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 l (*.f64 (*.f64 k k) t)) (/.f64 (*.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 l (*.f64 (*.f64 (*.f64 t k) k) k)) (/.f64 (*.f64 #s(literal 2 binary64) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) 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 l (*.f64 (*.f64 t k) k)) (*.f64 #s(literal 2 binary64) 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 l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 t k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 t k) k) 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 t k) k)) 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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (/.f64 l (*.f64 (*.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 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (*.f64 k t) k)))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -7/120 binary64) k) k #s(literal -1/6 binary64)) t) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 k t) k))))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/360 binary64) (*.f64 k k) #s(literal 1/12 binary64)) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (pow.f64 k #s(literal -4 binary64)) (/.f64 l 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 (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 (*.f64 k t) (pow.f64 k #s(literal 3 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 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 t k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l #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))) 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 #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 k #s(literal 4 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 (pow.f64 k #s(literal 4 binary64)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal 3 binary64)) t))) (/.f64 (*.f64 l l) 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 t k)) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 3 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) #s(literal 2 binary64)) (*.f64 t (pow.f64 k #s(literal 3 binary64)))) k))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 #s(approx (cos (* 2 k)) #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 k 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 (*.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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) l) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) 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 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 #s(approx (/ (* (* (* l l) 2) (cos k)) (* (* k t) k)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal 2 binary64) k))) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 l l) t)) #s(literal -1/3 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 (fma.f64 (/.f64 (*.f64 k k) t) #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) t)) (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) 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 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 k k))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) k) (*.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) 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 l l) (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (cos.f64 k) (/.f64 (/.f64 #s(literal 2 binary64) t) #s(approx (pow (sin k) 2) (*.f64 k k)))) (pow.f64 (/.f64 l k) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 l (*.f64 (/.f64 l k) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.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 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) k) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l k) (*.f64 (/.f64 l k) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) k) 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 l l) k) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.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 (*.f64 l l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) t) k)) (/.f64 (*.f64 l l) 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 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (/.f64 (*.f64 t k) l) k)) (sin.f64 k)) (/.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 #s(literal 1 binary64) (/.f64 k (/.f64 (*.f64 l l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))))) (*.f64 (/.f64 (/.f64 k l) l) 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))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (/.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) k)) k) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (/.f64 (*.f64 k k) (*.f64 t t)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (pow.f64 (/.f64 l k) #s(literal 2 binary64)) (*.f64 t (*.f64 (sin.f64 k) (tan.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 l l) (pow.f64 (*.f64 k (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))) #s(literal -1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) l) (*.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) 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 #s(literal -2 binary64) (cos.f64 k))) (*.f64 k (*.f64 (neg.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal -2 binary64)) (*.f64 k t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.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)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (neg.f64 l) (/.f64 l (*.f64 (neg.f64 k) k))) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (*.f64 t (sin.f64 k)) (sin.f64 k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 k) k) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (*.f64 k 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 (/.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 #s(approx (* (* (/ k l) t) (sin k)) (*.f64 (/.f64 (*.f64 t k) l) k)) (sin.f64 k)) (/.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 l k) (*.f64 (/.f64 l k) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))))))
Calls

6 calls:

45.0ms
l
29.0ms
(*.f64 l l)
25.0ms
t
23.0ms
k
23.0ms
(*.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
96.0%1t
96.0%1l
97.7%2k
96.0%1(*.f64 l l)
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%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)))
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes44.0ms (0.3%)

Memory
-8.9MiB live, 74.7MiB allocated
Counts
67 → 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 #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 k) (*.f64 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 (*.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 l (*.f64 (*.f64 (*.f64 (*.f64 t k) k) 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 (*.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 l (*.f64 (*.f64 k k) t)) (/.f64 (*.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 l (*.f64 (*.f64 (*.f64 t k) k) k)) (/.f64 (*.f64 #s(literal 2 binary64) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) 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 l (*.f64 (*.f64 t k) k)) (*.f64 #s(literal 2 binary64) 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 l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 t k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 t k) k) 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 t k) k)) 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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (/.f64 l (*.f64 (*.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 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (*.f64 k t) k)))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -7/120 binary64) k) k #s(literal -1/6 binary64)) t) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 k t) k))))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/360 binary64) (*.f64 k k) #s(literal 1/12 binary64)) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (pow.f64 k #s(literal -4 binary64)) (/.f64 l 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 (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 (*.f64 k t) (pow.f64 k #s(literal 3 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 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 t k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l #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))) 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 #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 k #s(literal 4 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 (pow.f64 k #s(literal 4 binary64)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal 3 binary64)) t))) (/.f64 (*.f64 l l) 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 t k)) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 3 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) #s(literal 2 binary64)) (*.f64 t (pow.f64 k #s(literal 3 binary64)))) k))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 #s(approx (cos (* 2 k)) #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 k 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 (*.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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) l) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) 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 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 #s(approx (/ (* (* (* l l) 2) (cos k)) (* (* k t) k)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal 2 binary64) k))) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 l l) t)) #s(literal -1/3 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 (fma.f64 (/.f64 (*.f64 k k) t) #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) t)) (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) 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 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 k k))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) k) (*.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) 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 l l) (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (cos.f64 k) (/.f64 (/.f64 #s(literal 2 binary64) t) #s(approx (pow (sin k) 2) (*.f64 k k)))) (pow.f64 (/.f64 l k) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 l (*.f64 (/.f64 l k) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.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 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) k) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l k) (*.f64 (/.f64 l k) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) k) 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 l l) k) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.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 (*.f64 l l) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 (fma.f64 (sin.f64 (*.f64 #s(literal -2 binary64) k)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) t) k)) (/.f64 (*.f64 l l) k)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l k) (*.f64 (/.f64 l k) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))))))
Calls

2 calls:

21.0ms
k
20.0ms
t
Results
AccuracySegmentsBranch
96.0%1t
96.0%1k
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes114.0ms (0.8%)

Memory
8.2MiB live, 166.1MiB allocated
Counts
59 → 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 #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 k) (*.f64 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 (*.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 l (*.f64 (*.f64 (*.f64 (*.f64 t k) k) 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 (*.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 l (*.f64 (*.f64 k k) t)) (/.f64 (*.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 l (*.f64 (*.f64 (*.f64 t k) k) k)) (/.f64 (*.f64 #s(literal 2 binary64) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) 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 l (*.f64 (*.f64 t k) k)) (*.f64 #s(literal 2 binary64) 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 l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 t k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 t k) k) 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 t k) k)) 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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (/.f64 l (*.f64 (*.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 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (*.f64 k t) k)))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -7/120 binary64) k) k #s(literal -1/6 binary64)) t) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 k t) k))))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/360 binary64) (*.f64 k k) #s(literal 1/12 binary64)) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (pow.f64 k #s(literal -4 binary64)) (/.f64 l 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 (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 (*.f64 k t) (pow.f64 k #s(literal 3 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 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 t k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l #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))) 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 #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 k #s(literal 4 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 (pow.f64 k #s(literal 4 binary64)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal 3 binary64)) t))) (/.f64 (*.f64 l l) 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 t k)) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 3 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) #s(literal 2 binary64)) (*.f64 t (pow.f64 k #s(literal 3 binary64)))) k))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 #s(approx (cos (* 2 k)) #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 k 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 (*.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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) l) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) 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 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 #s(approx (/ (* (* (* l l) 2) (cos k)) (* (* k t) k)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal 2 binary64) k))) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 l l) t)) #s(literal -1/3 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 (fma.f64 (/.f64 (*.f64 k k) t) #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) t)) (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) 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 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 k k))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) k) (*.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) 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 l l) (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (cos.f64 k) (/.f64 (/.f64 #s(literal 2 binary64) t) #s(approx (pow (sin k) 2) (*.f64 k k)))) (pow.f64 (/.f64 l k) #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 l (*.f64 (/.f64 l k) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.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 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) k) l) (/.f64 l k)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 t k) k)) 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 l (*.f64 (/.f64 l k) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) k))))
Calls

6 calls:

22.0ms
(*.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)))
21.0ms
(*.f64 l l)
20.0ms
l
19.0ms
k
16.0ms
t
Results
AccuracySegmentsBranch
93.9%2k
93.9%2l
93.9%2(*.f64 l l)
92.0%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))))
92.0%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)))
92.0%1t
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes148.0ms (1%)

Memory
20.4MiB live, 223.0MiB allocated
Counts
57 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.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 (*.f64 k k) (*.f64 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 (*.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 l (*.f64 (*.f64 (*.f64 (*.f64 t k) k) 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 (*.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 l (*.f64 (*.f64 k k) t)) (/.f64 (*.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 l (*.f64 (*.f64 (*.f64 t k) k) k)) (/.f64 (*.f64 #s(literal 2 binary64) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) 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 l (*.f64 (*.f64 t k) k)) (*.f64 #s(literal 2 binary64) 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 l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 t k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 t k) k) 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 t k) k)) 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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (/.f64 l (*.f64 (*.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 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (*.f64 k t) k)))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -7/120 binary64) k) k #s(literal -1/6 binary64)) t) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 k t) k))))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/360 binary64) (*.f64 k k) #s(literal 1/12 binary64)) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (pow.f64 k #s(literal -4 binary64)) (/.f64 l 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 (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 (*.f64 k t) (pow.f64 k #s(literal 3 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 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 t k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l #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))) 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 #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 k #s(literal 4 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 (pow.f64 k #s(literal 4 binary64)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal 3 binary64)) t))) (/.f64 (*.f64 l l) 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 t k)) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 3 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) #s(literal 2 binary64)) (*.f64 t (pow.f64 k #s(literal 3 binary64)))) k))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 #s(approx (cos (* 2 k)) #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 k 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 (*.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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) l) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) 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 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 #s(approx (/ (* (* (* l l) 2) (cos k)) (* (* k t) k)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal 2 binary64) k))) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 l l) t)) #s(literal -1/3 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 (fma.f64 (/.f64 (*.f64 k k) t) #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) t)) (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) 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 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 k k))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l l) k) (*.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) 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 l l) (*.f64 (*.f64 (*.f64 (tan.f64 k) (sin.f64 k)) (/.f64 (*.f64 k t) #s(literal 2 binary64))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 l l)) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (cos.f64 k) (/.f64 (/.f64 #s(literal 2 binary64) t) #s(approx (pow (sin k) 2) (*.f64 k k)))) (pow.f64 (/.f64 l k) #s(literal 2 binary64))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 t k) k)) 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 (*.f64 l l) k) (*.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) k)) #s(literal 2 binary64)))
Calls

6 calls:

49.0ms
(*.f64 l l)
32.0ms
(/.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))))
18.0ms
k
17.0ms
l
16.0ms
t
Results
AccuracySegmentsBranch
80.9%2t
81.2%2(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
81.2%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)))
89.2%2(*.f64 l l)
89.2%2l
89.3%2k
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes102.0ms (0.7%)

Memory
-28.7MiB live, 89.4MiB allocated
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 #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 k) (*.f64 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 (*.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 l (*.f64 (*.f64 (*.f64 (*.f64 t k) k) 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 (*.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 l (*.f64 (*.f64 k k) t)) (/.f64 (*.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 l (*.f64 (*.f64 (*.f64 t k) k) k)) (/.f64 (*.f64 #s(literal 2 binary64) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) 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 l (*.f64 (*.f64 t k) k)) (*.f64 #s(literal 2 binary64) 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 l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 t k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 t k) k) 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 t k) k)) 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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (/.f64 l (*.f64 (*.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 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (*.f64 k t) k)))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -7/120 binary64) k) k #s(literal -1/6 binary64)) t) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 k t) k))))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/360 binary64) (*.f64 k k) #s(literal 1/12 binary64)) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (pow.f64 k #s(literal -4 binary64)) (/.f64 l 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 (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 (*.f64 k t) (pow.f64 k #s(literal 3 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 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 t k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l #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))) 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 #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 k #s(literal 4 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 (pow.f64 k #s(literal 4 binary64)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal 3 binary64)) t))) (/.f64 (*.f64 l l) 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 t k)) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 3 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) #s(literal 2 binary64)) (*.f64 t (pow.f64 k #s(literal 3 binary64)))) k))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 #s(approx (cos (* 2 k)) #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 k 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 (*.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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) l) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) 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 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 #s(approx (/ (* (* (* l l) 2) (cos k)) (* (* k t) k)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal 2 binary64) k))) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 l l) t)) #s(literal -1/3 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 (fma.f64 (/.f64 (*.f64 k k) t) #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) t)) (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) 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 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 k k))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) k)) (/.f64 (*.f64 l l) k)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 t k) k)) 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 l) (*.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 k k))) #s(literal 2 binary64)))
Calls

3 calls:

29.0ms
l
26.0ms
(*.f64 l l)
15.0ms
k
Results
AccuracySegmentsBranch
85.9%2l
85.9%2(*.f64 l l)
86.6%2k
Compiler

Compiled 5 to 10 computations (-100% saved)

regimes123.0ms (0.9%)

Memory
13.2MiB live, 130.1MiB allocated
Counts
51 → 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 #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 k) (*.f64 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 (*.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 l (*.f64 (*.f64 (*.f64 (*.f64 t k) k) 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 (*.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 l (*.f64 (*.f64 k k) t)) (/.f64 (*.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 l (*.f64 (*.f64 (*.f64 t k) k) k)) (/.f64 (*.f64 #s(literal 2 binary64) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) 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 l (*.f64 (*.f64 t k) k)) (*.f64 #s(literal 2 binary64) 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 l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 t k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 t k) k) 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 t k) k)) 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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (/.f64 l (*.f64 (*.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 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (*.f64 k t) k)))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -7/120 binary64) k) k #s(literal -1/6 binary64)) t) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 k t) k))))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/360 binary64) (*.f64 k k) #s(literal 1/12 binary64)) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (pow.f64 k #s(literal -4 binary64)) (/.f64 l 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 (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 (*.f64 k t) (pow.f64 k #s(literal 3 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 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 t k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l #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))) 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 #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 k #s(literal 4 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 (pow.f64 k #s(literal 4 binary64)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal 3 binary64)) t))) (/.f64 (*.f64 l l) 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 t k)) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 3 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) #s(literal 2 binary64)) (*.f64 t (pow.f64 k #s(literal 3 binary64)))) k))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 #s(approx (cos (* 2 k)) #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 2 binary64)) t) (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) #s(approx (pow (sin k) 2) (*.f64 k k))) (*.f64 k 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 (*.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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) l) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) 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 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 #s(approx (/ (* (* (* l l) 2) (cos k)) (* (* k t) k)) (*.f64 (/.f64 (/.f64 (*.f64 l l) t) k) (/.f64 #s(literal 2 binary64) k))) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (/.f64 (*.f64 l l) t)) #s(literal -1/3 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 (fma.f64 (/.f64 (*.f64 k k) t) #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) t)) (pow.f64 k #s(literal 3 binary64)))) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 t k) k)) 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))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 #s(approx (cos (* 2 k)) #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
Calls

5 calls:

47.0ms
l
27.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
20.0ms
(*.f64 l l)
14.0ms
k
12.0ms
(*.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
77.2%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))))
77.2%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)))
80.9%2l
80.9%2(*.f64 l l)
79.9%2k
Compiler

Compiled 53 to 47 computations (11.3% saved)

regimes116.0ms (0.8%)

Memory
24.7MiB live, 136.1MiB allocated
Counts
40 → 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 #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 k) (*.f64 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 (*.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 l (*.f64 (*.f64 (*.f64 (*.f64 t k) k) 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 (*.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 l (*.f64 (*.f64 k k) t)) (/.f64 (*.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 l (*.f64 (*.f64 (*.f64 t k) k) k)) (/.f64 (*.f64 #s(literal 2 binary64) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) 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 l (*.f64 (*.f64 t k) k)) (*.f64 #s(literal 2 binary64) 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 l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 t k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 t k) k) 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 t k) k)) 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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (/.f64 l (*.f64 (*.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 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (*.f64 k t) k)))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -7/120 binary64) k) k #s(literal -1/6 binary64)) t) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 k t) k))))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/360 binary64) (*.f64 k k) #s(literal 1/12 binary64)) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (pow.f64 k #s(literal -4 binary64)) (/.f64 l 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 (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 (*.f64 k t) (pow.f64 k #s(literal 3 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 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 t k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l #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))) 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 #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 k #s(literal 4 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 (pow.f64 k #s(literal 4 binary64)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal 3 binary64)) t))) (/.f64 (*.f64 l l) 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 t k)) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 3 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) #s(literal 2 binary64)) (*.f64 t (pow.f64 k #s(literal 3 binary64)))) k))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 t k) k)) 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 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))))
Calls

4 calls:

43.0ms
(*.f64 l l)
31.0ms
t
29.0ms
k
11.0ms
l
Results
AccuracySegmentsBranch
79.5%2k
79.4%2(*.f64 l l)
77.2%1t
79.4%2l
Compiler

Compiled 6 to 13 computations (-116.7% saved)

regimes88.0ms (0.6%)

Memory
-18.9MiB live, 69.0MiB allocated
Counts
39 → 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 #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 k) (*.f64 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 (*.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 l (*.f64 (*.f64 (*.f64 (*.f64 t k) k) 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 (*.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 l (*.f64 (*.f64 k k) t)) (/.f64 (*.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 l (*.f64 (*.f64 (*.f64 t k) k) k)) (/.f64 (*.f64 #s(literal 2 binary64) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) 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 l (*.f64 (*.f64 t k) k)) (*.f64 #s(literal 2 binary64) 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 l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 t k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 t k) k) 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 t k) k)) 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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (/.f64 l (*.f64 (*.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 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (*.f64 k t) k)))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -7/120 binary64) k) k #s(literal -1/6 binary64)) t) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 k t) k))))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/360 binary64) (*.f64 k k) #s(literal 1/12 binary64)) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (pow.f64 k #s(literal -4 binary64)) (/.f64 l 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 (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 (*.f64 k t) (pow.f64 k #s(literal 3 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 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 t k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l #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))) 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 #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 k #s(literal 4 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 (pow.f64 k #s(literal 4 binary64)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal 3 binary64)) t))) (/.f64 (*.f64 l l) 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 t k)) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 3 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) #s(literal 2 binary64)) (*.f64 t (pow.f64 k #s(literal 3 binary64)))) k))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))) l) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 t k) k)) 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 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
Calls

3 calls:

40.0ms
(*.f64 l l)
34.0ms
k
11.0ms
l
Results
AccuracySegmentsBranch
79.3%2l
79.2%2(*.f64 l l)
79.3%2k
Compiler

Compiled 5 to 10 computations (-100% saved)

regimes97.0ms (0.7%)

Memory
-12.2MiB live, 65.9MiB allocated
Counts
38 → 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 #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 k) (*.f64 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 (*.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 l (*.f64 (*.f64 (*.f64 (*.f64 t k) k) 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 (*.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 l (*.f64 (*.f64 k k) t)) (/.f64 (*.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 l (*.f64 (*.f64 (*.f64 t k) k) k)) (/.f64 (*.f64 #s(literal 2 binary64) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) 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 l (*.f64 (*.f64 t k) k)) (*.f64 #s(literal 2 binary64) 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 l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 t k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 t k) k) 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 t k) k)) 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 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (/.f64 l (*.f64 (*.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 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 k k) #s(literal 1 binary64)) (*.f64 (*.f64 k t) k)))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (-.f64 #s(literal 2 binary64) (*.f64 k k))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 l l) (*.f64 k k)) #s(approx (/ (cos k) (* (pow (sin k) 2) t)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -7/120 binary64) k) k #s(literal -1/6 binary64)) t) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 k t) k))))) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* 2 (cos k)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/360 binary64) (*.f64 k k) #s(literal 1/12 binary64)) (*.f64 k k) #s(literal -1 binary64)) (*.f64 k k) #s(literal 2 binary64))) (*.f64 #s(approx (* (pow (sin k) 2) t) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 k k) #s(literal 1 binary64)) t) k) k)) k)) (/.f64 (*.f64 l l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (/.f64 (pow.f64 k #s(literal -4 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (pow.f64 k #s(literal -4 binary64)) (/.f64 l 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 (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 (*.f64 k t) (pow.f64 k #s(literal 3 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 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 3 binary64)) (*.f64 t k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (pow.f64 k #s(literal 4 binary64))) (/.f64 (*.f64 l #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))) 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 #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 k #s(literal 4 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 (pow.f64 k #s(literal 4 binary64)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (/ (* 2 (cos k)) (* (* (pow (sin k) 2) t) k)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 k #s(literal 3 binary64)) t))) (/.f64 (*.f64 l l) 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 t k)) (/.f64 #s(literal 2 binary64) (pow.f64 k #s(literal 3 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) #s(literal 2 binary64)) (*.f64 t (pow.f64 k #s(literal 3 binary64)))) k))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (*.f64 (cos.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k)))) l) (/.f64 l k)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 t k) k)) k) k) (*.f64 #s(literal 2 binary64) l)))
Calls

5 calls:

45.0ms
k
20.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
11.0ms
l
10.0ms
(*.f64 l l)
9.0ms
(*.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
77.2%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))))
77.2%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)))
77.2%1(*.f64 l l)
77.2%1k
77.2%1l
Compiler

Compiled 53 to 47 computations (11.3% saved)

regimes54.0ms (0.4%)

Memory
-3.7MiB live, 44.8MiB allocated
Counts
13 → 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 #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 k) (*.f64 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 (*.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 l (*.f64 (*.f64 (*.f64 (*.f64 t k) k) 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 (*.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 l (*.f64 (*.f64 k k) t)) (/.f64 (*.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 l (*.f64 (*.f64 (*.f64 t k) k) k)) (/.f64 (*.f64 #s(literal 2 binary64) l) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 k k) 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 l (*.f64 (*.f64 t k) k)) (*.f64 #s(literal 2 binary64) 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 l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 k k) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 k k)) (*.f64 (*.f64 t k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l l) #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 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 t k) k) 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 t k) k) k)) (/.f64 (*.f64 #s(literal 2 binary64) l) k)))
Calls

6 calls:

32.0ms
(*.f64 l l)
4.0ms
k
4.0ms
l
4.0ms
t
4.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
76.6%1k
76.6%1(*.f64 l l)
76.6%1t
76.6%1l
76.6%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))))
76.6%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)))
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes30.0ms (0.2%)

Memory
-7.8MiB live, 31.5MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.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 (*.f64 k k) (*.f64 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 (*.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 l (*.f64 (*.f64 (*.f64 (*.f64 t k) k) 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 (*.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 l (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 k k))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 k k) t)) (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 k k))))
Calls

6 calls:

17.0ms
l
3.0ms
k
3.0ms
t
2.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
2.0ms
(*.f64 (*.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
76.3%1l
76.3%1k
76.3%1(*.f64 l l)
76.3%1t
76.3%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
76.3%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes13.0ms (0.1%)

Memory
22.0MiB live, 22.0MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.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 (*.f64 k k) (*.f64 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 (*.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 l (*.f64 (*.f64 (*.f64 (*.f64 t k) k) 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 (*.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 (*.f64 t k) k) k) k)) (*.f64 #s(literal 2 binary64) l)))
Calls

6 calls:

2.0ms
k
2.0ms
l
2.0ms
t
2.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
2.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
73.4%1t
73.4%1l
73.4%1k
73.4%1(*.f64 l l)
73.4%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
73.4%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)))
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes47.0ms (0.3%)

Memory
-21.8MiB live, 17.7MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.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 (*.f64 k k) (*.f64 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 (*.f64 k t) k) (*.f64 k 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 #s(literal 2 binary64) l)))
Calls

6 calls:

38.0ms
t
2.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
2.0ms
l
2.0ms
k
2.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
73.3%1t
73.3%1k
73.3%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
73.3%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
73.3%1l
73.3%1(*.f64 l l)
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes8.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated
Counts
2 → 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 #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 k) (*.f64 t k)) 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 k) (*.f64 t k)) k)) (*.f64 #s(literal 2 binary64) l)))
Calls

6 calls:

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)))
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
l
1.0ms
k
1.0ms
t
Results
AccuracySegmentsBranch
73.3%1t
73.3%1k
73.3%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
73.3%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
73.3%1l
73.3%1(*.f64 l l)
Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes7.0ms (0%)

Memory
16.6MiB live, 16.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ 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)))
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 #s(literal 2 binary64) l)))
Calls

6 calls:

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)))
1.0ms
l
1.0ms
t
1.0ms
k
Results
AccuracySegmentsBranch
73.3%1t
73.3%1k
73.3%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
73.3%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
73.3%1l
73.3%1(*.f64 l l)
Compiler

Compiled 54 to 50 computations (7.4% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
4.472457e-317
Compiler

Compiled 28 to 25 computations (10.7% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.4989044666419e-310
1.0058779061678703e-306
Compiler

Compiled 28 to 25 computations (10.7% saved)

bsearch80.0ms (0.6%)

Memory
-28.8MiB live, 49.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
75.0ms
7.297352750258306e-17
1.506205915112293e-5
Samples
37.0ms36×2valid
22.0ms86×0valid
6.0ms28×1valid
3.0ms10×3valid
Compiler

Compiled 978 to 675 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
adjust: 31.0ms (50.3% of total)
ival-div: 16.0ms (26% of total)
ival-mult: 4.0ms (6.5% of total)
ival-pow2: 3.0ms (4.9% of total)
ival-tan: 2.0ms (3.2% of total)
ival-pow: 2.0ms (3.2% of total)
ival-sin: 2.0ms (3.2% of total)
ival-sub: 1.0ms (1.6% of total)
ival-add: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
7.297352750258306e-17
1.506205915112293e-5
Compiler

Compiled 868 to 625 computations (28% saved)

bsearch41.0ms (0.3%)

Memory
6.5MiB live, 44.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
38.0ms
7.297352750258306e-17
1.506205915112293e-5
Samples
20.0ms29×2valid
7.0ms58×0valid
5.0ms23×1valid
1.0ms3valid
Compiler

Compiled 868 to 625 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 15.0ms (53% of total)
adjust: 3.0ms (10.6% of total)
ival-div: 3.0ms (10.6% of total)
ival-pow2: 2.0ms (7.1% of total)
ival-sub: 1.0ms (3.5% of total)
ival-tan: 1.0ms (3.5% of total)
ival-add: 1.0ms (3.5% of total)
ival-pow: 1.0ms (3.5% of total)
ival-sin: 1.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
7.297352750258306e-17
1.506205915112293e-5
Compiler

Compiled 868 to 625 computations (28% saved)

bsearch46.0ms (0.3%)

Memory
1.9MiB live, 40.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
43.0ms
2.4053108697606162e+166
1.0811468838436468e+167
Samples
20.0ms12×1valid
8.0ms27×2valid
7.0ms45×0valid
4.0ms12×3valid
Compiler

Compiled 718 to 499 computations (30.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
adjust: 20.0ms (58.4% of total)
ival-div: 3.0ms (8.8% of total)
ival-mult: 3.0ms (8.8% of total)
ival-pow2: 2.0ms (5.8% of total)
ival-tan: 2.0ms (5.8% of total)
ival-sin: 2.0ms (5.8% of total)
ival-sub: 1.0ms (2.9% of total)
ival-add: 1.0ms (2.9% of total)
ival-pow: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch50.0ms (0.4%)

Memory
12.1MiB live, 51.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
45.0ms
30250396020.84167
17681785867488734.0
Samples
20.0ms45×2valid
12.0ms74×0valid
5.0ms19×1valid
2.0ms3valid
Compiler

Compiled 838 to 583 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-sin: 10.0ms (30.1% of total)
adjust: 4.0ms (12.1% of total)
ival-div: 4.0ms (12.1% of total)
ival-tan: 4.0ms (12.1% of total)
ival-mult: 4.0ms (12.1% of total)
ival-pow2: 2.0ms (6% of total)
ival-pow: 2.0ms (6% of total)
ival-sub: 1.0ms (3% of total)
ival-add: 1.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
2.4053108697606162e+166
1.0811468838436468e+167
Compiler

Compiled 568 to 397 computations (30.1% saved)

simplify124.0ms (0.9%)

Memory
-13.3MiB live, 63.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01821312
12621312
25941254
329521196
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 t (/.f64 k l)) (*.f64 (sin.f64 k) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (sin.f64 k))))))
(if (<=.f64 (*.f64 l l) #s(literal 0 binary64)) #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 t k) k)) k) k) (*.f64 #s(literal 2 binary64) l))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (sin.f64 k) (*.f64 (sin.f64 k) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (/.f64 k l) t)))))))
(if (<=.f64 (*.f64 l l) #s(literal 202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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 t k) k)) k) k) (*.f64 #s(literal 2 binary64) l))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.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 (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 6195744825524975/151115727451828646838272 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 t k) l) k)) (sin.f64 k)) (/.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 l k) (*.f64 (/.f64 l k) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l k) (*.f64 (/.f64 l k) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))))))
(if (<=.f64 k #s(literal 6195744825524975/151115727451828646838272 binary64)) #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 t k) k)) 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 l (*.f64 (/.f64 l k) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) k)))))
(if (<=.f64 k #s(literal 5312662293228351/1180591620717411303424 binary64)) #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 t k) k)) 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 (*.f64 l l) k) (*.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) k)) #s(literal 2 binary64))))
(if (<=.f64 k #s(literal 5312662293228351/1180591620717411303424 binary64)) #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 t k) k)) 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 l) (*.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 k k))) #s(literal 2 binary64))))
(if (<=.f64 l #s(literal 100000000000000003860899428741951440279402051491350438954423829568577391016492742670197391754543170343555750902863155030391327289536708508823166797373630632400726786048 binary64)) #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 t k) k)) 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))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 #s(approx (cos (* 2 k)) #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 k #s(literal 8800000000000 binary64)) #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 t k) k)) 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 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k))))))
(if (<=.f64 l #s(literal 100000000000000003860899428741951440279402051491350438954423829568577391016492742670197391754543170343555750902863155030391327289536708508823166797373630632400726786048 binary64)) #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 t k) k)) 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 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 t k) k)) 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 t k) k) k)) (/.f64 (*.f64 #s(literal 2 binary64) 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 k k) t)) (/.f64 (*.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 l (*.f64 (*.f64 (*.f64 (*.f64 t k) k) 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 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 l (*.f64 (*.f64 (*.f64 k k) (*.f64 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 #s(literal 2 binary64) 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 t (/.f64 k l)) (*.f64 (sin.f64 k) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (sin.f64 k))))))
(if (<=.f64 (*.f64 l l) #s(literal 0 binary64)) #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 t k) k)) k) k) (*.f64 #s(literal 2 binary64) l))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (sin.f64 k) (*.f64 (sin.f64 k) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.f64 (/.f64 k l) t)))))))
(if (<=.f64 (*.f64 l l) #s(literal 202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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 t k) k)) k) k) (*.f64 #s(literal 2 binary64) l))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (/.f64 k (*.f64 (cos.f64 k) l)) (*.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 (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 6195744825524975/151115727451828646838272 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 t k) l) k)) (sin.f64 k)) (/.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 l k) (*.f64 (/.f64 l k) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l k) (*.f64 (/.f64 l k) (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))))))
(if (<=.f64 k #s(literal 6195744825524975/151115727451828646838272 binary64)) #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 t k) k)) 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 l (*.f64 (/.f64 l k) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) k)))))
(if (<=.f64 k #s(literal 5312662293228351/1180591620717411303424 binary64)) #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 t k) k)) 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 (*.f64 l l) k) (*.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) k)) #s(literal 2 binary64))))
(if (<=.f64 k #s(literal 5312662293228351/1180591620717411303424 binary64)) #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 t k) k)) 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 l) (*.f64 (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 k k))) #s(literal 2 binary64))))
(if (<=.f64 l #s(literal 100000000000000003860899428741951440279402051491350438954423829568577391016492742670197391754543170343555750902863155030391327289536708508823166797373630632400726786048 binary64)) #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 t k) k)) 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))) #s(approx (* (/ (* 2 (cos k)) (* (* (- 1/2 (* 1/2 (cos (+ k k)))) t) k)) (/ (* l l) k)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (cos.f64 k)) (*.f64 (*.f64 k t) k)) (fma.f64 #s(approx (cos (* 2 k)) #s(literal 1 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(if (<=.f64 k #s(literal 8800000000000 binary64)) #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 t k) k)) 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 (*.f64 (cos.f64 k) #s(literal 2 binary64)) l) (/.f64 l k)) (*.f64 (*.f64 k t) #s(approx (pow (sin k) 2) (*.f64 k k))))))
(if (<=.f64 l #s(literal 100000000000000003860899428741951440279402051491350438954423829568577391016492742670197391754543170343555750902863155030391327289536708508823166797373630632400726786048 binary64)) #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 t k) k)) 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 #s(literal 2 binary64) (cos.f64 k)) (*.f64 (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) t) k)) (/.f64 (*.f64 l l) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (/.f64 l (*.f64 (*.f64 t k) k)) 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 t k) k) k)) (/.f64 (*.f64 #s(literal 2 binary64) 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 k k) t)) (/.f64 (*.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 l (*.f64 (*.f64 (*.f64 (*.f64 t k) k) 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 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 l (*.f64 (*.f64 (*.f64 k k) (*.f64 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 #s(literal 2 binary64) l)))

soundness1.7s (11.9%)

Memory
2.1MiB live, 1 113.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02981292
011151225
0106431
1415401
22119357
08120339
03441442
112931354
257581336
081061250
064423
0104415
1354393
22387393
08328393
03191479
111521378
250591340
080831254
063527
0100535
1381451
23093451
09152451
080587
0121589
1456537
23409527
08856527
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
iter limit
unsound
Compiler

Compiled 4 237 to 2 278 computations (46.2% saved)

preprocess106.0ms (0.7%)

Memory
13.7MiB live, 247.2MiB allocated
Remove

(negabs t)

(abs l)

(abs k)

Compiler

Compiled 2 938 to 588 computations (80% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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