Toniolo and Linder, Equation (10-)

Time bar (total: 16.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze873.0ms (5.5%)

Memory
-1.2MiB live, 920.9MiB 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)

sample2.7s (17%)

Memory
71.4MiB live, 3 933.2MiB allocated
Samples
840.0ms4 290×0valid
550.0ms1 311×3valid
515.0ms1 584×2valid
258.0ms1 064×1valid
3.0ms4valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-div: 288.0ms (16.1% of total)
adjust: 267.0ms (14.9% of total)
ival-mult: 242.0ms (13.5% of total)
ival-pow2: 212.0ms (11.9% of total)
ival-tan: 195.0ms (10.9% of total)
ival-sin: 189.0ms (10.6% of total)
ival-pow: 183.0ms (10.2% of total)
ival-add: 101.0ms (5.6% of total)
ival-sub: 91.0ms (5.1% of total)
exact: 12.0ms (0.7% of total)
ival-true: 6.0ms (0.3% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain361.0ms (2.3%)

Memory
-28.1MiB live, 539.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1020-0-(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
530-2(4.201726625626845e-105 8.888244343595028e-109 4.873219701248315e+295)(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
491(-1.8395340167613307e+127 -4.834093359597712e+236 3.7138006701112996e-35)0-(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
100-0-(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
80-0-(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
10-0-(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
00-0-k
00-0-(/.f64 k t)
00-0-t
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(tan.f64 k)
00-0-(pow.f64 (/.f64 k t) #s(literal 2 binary64))
00-0-(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
00-0-(*.f64 l l)
00-0-(sin.f64 k)
00-0-(pow.f64 t #s(literal 3 binary64))
00-0-#s(literal 2 binary64)
00-0-l
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))u*o600
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))underflow95
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))underflow110
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))underflow105
(pow.f64 t #s(literal 3 binary64))underflow91
(*.f64 l l)underflow57
(/.f64 k t)overflow37
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow88
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow88
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow88
-.f64(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))cancellation501
*.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*u250
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow84
(*.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))overflow74
(pow.f64 t #s(literal 3 binary64))overflow79
(*.f64 l l)overflow60
(/.f64 k t)underflow24
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))underflow60
(pow.f64 (/.f64 k t) #s(literal 2 binary64))underflow60
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/u170
(pow.f64 t #s(literal 3 binary64))underflow91
(*.f64 l l)underflow57
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/o150
(pow.f64 t #s(literal 3 binary64))overflow79
(*.f64 l l)overflow60
*.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 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))n*o80
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/u60
(*.f64 l l)underflow57
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/n60
(pow.f64 t #s(literal 3 binary64))underflow91
*.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/n50
(pow.f64 t #s(literal 3 binary64))overflow79
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/o20
(*.f64 l l)overflow60
/.f64(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))n/o10
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))overflow66
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow74
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))overflow72
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow88
(/.f64 k t)overflow37
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow84
(pow.f64 t #s(literal 3 binary64))overflow79
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow88
(*.f64 l l)overflow60
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow88
Confusion
Predicted +Predicted -
+1691
-2264
Precision
0.8848167539267016
Recall
0.9941176470588236
Confusion?
Predicted +Predicted MaybePredicted -
+16901
-22064
Precision?
0.8848167539267016
Recall?
0.9941176470588236
Freqs
test
numberfreq
065
1161
229
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
62.0ms296×0valid
32.0ms96×2valid
28.0ms62×3valid
16.0ms58×1valid
Compiler

Compiled 268 to 61 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-div: 16.0ms (16% of total)
ival-sin: 16.0ms (16% of total)
ival-mult: 14.0ms (14% of total)
ival-tan: 12.0ms (12% of total)
adjust: 12.0ms (12% of total)
ival-pow2: 11.0ms (11% of total)
ival-pow: 9.0ms (9% of total)
ival-add: 5.0ms (5% of total)
ival-sub: 4.0ms (4% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess290.0ms (1.8%)

Memory
27.4MiB live, 291.4MiB allocated
Algorithm
egg-herbie
Rules
15 980×lower-fma.f64
15 980×lower-fma.f32
6 382×lower-*.f32
6 374×lower-*.f64
3 228×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082231
1239207
21063189
01925
03225
15723
216121
384921
4356721
0826521
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) (*.f64 l l)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))))
Symmetry

(abs k)

(abs l)

(negabs t)

Compiler

Compiled 28 to 19 computations (32.1% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.0%
(/.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))))
Compiler

Compiled 28 to 19 computations (32.1% saved)

simplify304.0ms (1.9%)

Memory
-9.4MiB live, 424.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff256
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff384
(/.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-diff5824
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
cost-diff5824
(pow.f64 t #s(literal 3 binary64))
Rules
15 980×lower-fma.f64
15 980×lower-fma.f32
6 382×lower-*.f32
6 374×lower-*.f64
3 228×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019118
032122
157114
2161106
3849106
43567106
08265106
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) (*.f64 l l)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))))
#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 t (*.f64 t t)) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))) (*.f64 l l))
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 l l))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) (sin.f64 k)) (*.f64 l l))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))
(pow.f64 t #s(literal 3 binary64))
(*.f64 t (*.f64 t t))
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 (*.f64 k k) (*.f64 t t))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 (*.f64 k k) (*.f64 t t))
(/.f64 k t)

localize96.0ms (0.6%)

Memory
9.4MiB live, 90.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy2.4215434587600915
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
accuracy11.23314355103109
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy12.160859255968038
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
accuracy24.434426704871182
(*.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
26.0ms148×0valid
18.0ms29×1valid
15.0ms48×2valid
12.0ms31×3valid
Compiler

Compiled 120 to 21 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-div: 7.0ms (15.9% of total)
ival-mult: 7.0ms (15.9% of total)
adjust: 6.0ms (13.6% of total)
ival-sin: 6.0ms (13.6% of total)
ival-tan: 5.0ms (11.4% of total)
ival-pow2: 4.0ms (9.1% of total)
ival-pow: 3.0ms (6.8% of total)
ival-sub: 2.0ms (4.5% of total)
ival-add: 2.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series44.0ms (0.3%)

Memory
5.2MiB live, 78.4MiB allocated
Counts
7 → 192
Calls
Call 1
Inputs
#s(alt (pow.f64 t #s(literal 3 binary64)) (patch (pow.f64 t #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (patch (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (patch (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) #<representation binary64>) () ())
Outputs
#s(alt (pow t 3) (taylor 0 t) (#s(alt (pow.f64 t #s(literal 3 binary64)) (patch (pow.f64 t #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow t 3) (taylor 0 t) (#s(alt (pow.f64 t #s(literal 3 binary64)) (patch (pow.f64 t #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow t 3) (taylor 0 t) (#s(alt (pow.f64 t #s(literal 3 binary64)) (patch (pow.f64 t #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow t 3) (taylor 0 t) (#s(alt (pow.f64 t #s(literal 3 binary64)) (patch (pow.f64 t #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow t 3) (taylor inf t) (#s(alt (pow.f64 t #s(literal 3 binary64)) (patch (pow.f64 t #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow t 3) (taylor inf t) (#s(alt (pow.f64 t #s(literal 3 binary64)) (patch (pow.f64 t #s(literal 3 binary64)) #<representation binary64>) () ())) ())
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Calls

48 calls:

TimeVariablePointExpression
6.0ms
l
@0
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))
4.0ms
t
@0
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))
4.0ms
k
@-inf
(* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))
3.0ms
k
@-inf
(* (/ (pow t 3) (* l l)) (sin k))
2.0ms
k
@inf
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))

simplify280.0ms (1.7%)

Memory
1.7MiB live, 431.1MiB allocated
Algorithm
egg-herbie
Rules
11 610×lower-fma.f64
11 610×lower-fma.f32
6 458×lower-+.f64
6 458×lower-+.f32
5 872×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01102370
13582366
215282296
349032296
085372278
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 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))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (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) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* 1/120 (/ (* (pow k 2) (pow t 3)) (pow l 2))))) (/ (pow t 3) (pow l 2))))
(* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* -1/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/120 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
Outputs
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(/ (pow k 2) (pow t 2))
(/.f64 (*.f64 k k) (*.f64 t t))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))
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(* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* 1/120 (/ (* (pow k 2) (pow t 3)) (pow l 2))))) (/ (pow t 3) (pow l 2))))
(*.f64 k (fma.f64 t (/.f64 (*.f64 t t) (*.f64 l l)) (*.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))))
(* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* -1/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/120 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))
(*.f64 k (fma.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 k (*.f64 t (*.f64 k (*.f64 t t)))) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)))))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) (sin.f64 k)) (*.f64 l l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) (sin.f64 k)) (*.f64 l l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) (sin.f64 k)) (*.f64 l l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) (sin.f64 k)) (*.f64 l l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) (sin.f64 k)) (*.f64 l l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) (sin.f64 k)) (*.f64 l l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) (sin.f64 k)) (*.f64 l l))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) (sin.f64 k)) (*.f64 l l))

rewrite630.0ms (3.9%)

Memory
-193.9MiB live, 676.0MiB allocated
Rules
7 508×lower-fma.f64
7 508×lower-fma.f32
5 940×lower-*.f32
5 932×lower-*.f64
4 112×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01982
03278
111774
281070
0890070
Stop Event
iter limit
node limit
iter limit
Counts
7 → 1 085
Calls
Call 1
Inputs
(pow.f64 t #s(literal 3 binary64))
(pow.f64 (/.f64 k 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 #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 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
Outputs
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 t)))
(exp.f64 (*.f64 (log.f64 (*.f64 t t)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 t #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 t) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 t) #s(literal 3/2 binary64) (*.f64 (log.f64 t) #s(literal 3/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t (neg.f64 t))))
(neg.f64 (*.f64 t (*.f64 t (neg.f64 t))))
(pow.f64 t #s(literal 3 binary64))
(pow.f64 (*.f64 t t) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 t))
(*.f64 t (*.f64 t t))
(*.f64 t (*.f64 (*.f64 t t) #s(literal 1 binary64)))
(*.f64 (*.f64 t (*.f64 t t)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))
(*.f64 (*.f64 t t) t)
(*.f64 (neg.f64 t) (*.f64 t (neg.f64 t)))
(*.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t (neg.f64 t))))
(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64)))
(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (neg.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 t #s(literal 3/4 binary64)) (*.f64 (pow.f64 t #s(literal 3/4 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(*.f64 (*.f64 t (neg.f64 t)) (neg.f64 t))
(*.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) (neg.f64 (pow.f64 t #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64)))) (pow.f64 t #s(literal 3/2 binary64)))
(*.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/4 binary64))) (pow.f64 t #s(literal 3/4 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal -1 binary64))
(+.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))))
(+.f64 (+.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))))))
(+.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 k t))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 k t))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 0 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))))))
(-.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))) (-.f64 (/.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 k k) (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))) (+.f64 (/.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 k k) (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64))) (-.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))))) (/.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 k k) (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))))
(fma.f64 k (/.f64 (/.f64 k t) t) #s(literal 0 binary64))
(fma.f64 k (pow.f64 (/.f64 (/.f64 k t) t) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 k (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) k)) #s(literal 0 binary64))
(fma.f64 k (*.f64 (/.f64 (/.f64 k t) t) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 k (*.f64 k (/.f64 (/.f64 #s(literal 1 binary64) t) t)) #s(literal 0 binary64))
(fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64))
(fma.f64 (/.f64 k t) (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) k)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 k) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (neg.f64 t)) k)) #s(literal 0 binary64))
(fma.f64 (neg.f64 k) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 k t)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (+.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)) (/.f64 (*.f64 k k) (*.f64 t t)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (+.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))))))
(fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal -1 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))))))
(fma.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (*.f64 k k) t) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (/.f64 k t) (/.f64 #s(literal 1 binary64) k)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 k k) (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 k k) (*.f64 t t)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 (*.f64 k k) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t)))) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))) (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 k k) (*.f64 t t))))) #s(literal 0 binary64))
(fma.f64 (*.f64 k k) (/.f64 (/.f64 #s(literal 1 binary64) t) t) #s(literal 0 binary64))
(fma.f64 (*.f64 k k) (pow.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 k k) (/.f64 #s(literal 1 binary64) (*.f64 t t)) #s(literal 0 binary64))
(fma.f64 (*.f64 k k) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) t)) #s(literal 0 binary64))
(fma.f64 (*.f64 k k) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) t) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) t) (*.f64 k k) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) t) (/.f64 k (/.f64 #s(literal 1 binary64) k)) #s(literal 0 binary64))
(fma.f64 (*.f64 k (neg.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 t))) #s(literal 0 binary64))
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(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 #s(literal 1 binary64) l)))
(*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 (*.f64 t (*.f64 t (neg.f64 t))) l) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(*.f64 (/.f64 t l) (/.f64 (*.f64 t t) l))
(*.f64 (/.f64 (*.f64 t t) l) (/.f64 t l))
(*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l))
(*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (*.f64 t (*.f64 t t)) l))
(*.f64 (pow.f64 t #s(literal 3/4 binary64)) (*.f64 (pow.f64 t #s(literal 3/4 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 l l))))
(*.f64 (*.f64 t (neg.f64 t)) (*.f64 t (/.f64 #s(literal -1 binary64) (*.f64 l l))))
(*.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 l l))))
(*.f64 (pow.f64 (/.f64 l t) #s(literal -1 binary64)) (pow.f64 (/.f64 l (*.f64 t t)) #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 (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 (/.f64 t #s(literal -1 binary64)) (/.f64 (*.f64 t (neg.f64 t)) (*.f64 l l)))
(*.f64 (/.f64 t (neg.f64 l)) (/.f64 (*.f64 t (neg.f64 t)) l))
(*.f64 (/.f64 (*.f64 t (neg.f64 t)) l) (/.f64 t (neg.f64 l)))
(*.f64 (/.f64 (*.f64 t t) #s(literal -1 binary64)) (/.f64 (neg.f64 t) (*.f64 l l)))
(*.f64 (/.f64 (*.f64 t t) (neg.f64 l)) (/.f64 (neg.f64 t) l))
(*.f64 (/.f64 (neg.f64 t) l) (/.f64 (*.f64 t t) (neg.f64 l)))
(*.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 (*.f64 t (*.f64 t (neg.f64 t))) l))
(*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) (*.f64 l l)))
(*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (neg.f64 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)) (neg.f64 l)))
(*.f64 (/.f64 (*.f64 t (neg.f64 t)) #s(literal -1 binary64)) (/.f64 t (*.f64 l l)))
(*.f64 (/.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 l l)))
(*.f64 (pow.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 t t))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 t t))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t (neg.f64 t)))) (/.f64 #s(literal -1 binary64) (*.f64 l l)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 3/2 binary64))) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 l l)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 t l)) (/.f64 (*.f64 t t) l))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) l)) (/.f64 t l))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) t) (*.f64 t t))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) (*.f64 t t)) t)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) (pow.f64 t #s(literal 3/2 binary64))) (pow.f64 t #s(literal 3/2 binary64)))
(neg.f64 (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 t (sin.f64 k)))) (*.f64 l l))))
(/.f64 (sin.f64 k) (/.f64 (*.f64 l l) (*.f64 t (*.f64 t t))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (*.f64 t (*.f64 t (*.f64 t (sin.f64 k))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 t t))) (sin.f64 k)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 t (*.f64 t (sin.f64 k))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 t (*.f64 t (sin.f64 k)))))))
(/.f64 (*.f64 t (*.f64 t (*.f64 t (sin.f64 k)))) (*.f64 l l))
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) (neg.f64 (sin.f64 k))) (*.f64 l (neg.f64 l)))
(/.f64 (neg.f64 (sin.f64 k)) (/.f64 (*.f64 l l) (*.f64 t (*.f64 t (neg.f64 t)))))
(/.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) l)
(/.f64 (neg.f64 (*.f64 (*.f64 t (*.f64 t t)) (neg.f64 (sin.f64 k)))) (*.f64 l l))
(/.f64 (neg.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l))) (neg.f64 l))
(/.f64 (*.f64 (sin.f64 k) #s(literal -1 binary64)) (/.f64 (*.f64 l l) (*.f64 t (*.f64 t (neg.f64 t)))))
(/.f64 (*.f64 (*.f64 t (*.f64 t (*.f64 t (sin.f64 k)))) #s(literal 1 binary64)) (*.f64 l l))
(/.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t (neg.f64 t))) l)) (neg.f64 l))
(/.f64 (*.f64 (*.f64 t (*.f64 t (*.f64 t (sin.f64 k)))) #s(literal -1 binary64)) (*.f64 l (neg.f64 l)))
(/.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t (neg.f64 t))) l) (sin.f64 k)) (neg.f64 l))
(/.f64 (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (sin.f64 k) l)) l)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 k) l)) (/.f64 l (*.f64 t (*.f64 t t))))
(/.f64 (*.f64 (*.f64 t (*.f64 t (neg.f64 t))) (/.f64 (sin.f64 k) l)) (neg.f64 l))
(pow.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 t (*.f64 t (sin.f64 k))))) #s(literal -1 binary64))
(*.f64 t (*.f64 (*.f64 t t) (/.f64 (sin.f64 k) (*.f64 l l))))
(*.f64 t (*.f64 (/.f64 (*.f64 t t) (*.f64 l l)) (sin.f64 k)))
(*.f64 t (*.f64 (*.f64 t (*.f64 t (sin.f64 k))) (/.f64 #s(literal 1 binary64) (*.f64 l l))))
(*.f64 t (*.f64 (/.f64 (*.f64 t t) l) (/.f64 (sin.f64 k) l)))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (sin.f64 k) (*.f64 l l)))
(*.f64 (*.f64 t (*.f64 t t)) (*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (sin.f64 k) l)))
(*.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (sin.f64 k))
(*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t (*.f64 t (sin.f64 k)))) (*.f64 l l)))
(*.f64 (*.f64 t t) (*.f64 t (/.f64 (sin.f64 k) (*.f64 l l))))
(*.f64 (*.f64 t t) (*.f64 (/.f64 t (*.f64 l l)) (sin.f64 k)))
(*.f64 (*.f64 t t) (*.f64 (*.f64 t (sin.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 l l))))
(*.f64 (*.f64 t t) (*.f64 (/.f64 t l) (/.f64 (sin.f64 k) l)))
(*.f64 (*.f64 t (*.f64 t (neg.f64 t))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 l l)) (sin.f64 k)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) (*.f64 t (*.f64 t (*.f64 t (sin.f64 k)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 l l)) (/.f64 (sin.f64 k) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))))
(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (/.f64 (sin.f64 k) (*.f64 l l))))
(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 l l)) (sin.f64 k)))
(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (sin.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 l l))))
(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 (sin.f64 k) l)))
(*.f64 (*.f64 t (*.f64 t (*.f64 t (sin.f64 k)))) (/.f64 #s(literal 1 binary64) (*.f64 l l)))
(*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (/.f64 (sin.f64 k) l))
(*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (/.f64 #s(literal 1 binary64) l) (sin.f64 k)))
(*.f64 (*.f64 (*.f64 t (*.f64 t t)) (neg.f64 (sin.f64 k))) (/.f64 #s(literal -1 binary64) (*.f64 l l)))
(*.f64 (/.f64 (*.f64 t (*.f64 t (neg.f64 t))) l) (/.f64 (sin.f64 k) (neg.f64 l)))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (*.f64 t (*.f64 t t)) l))
(*.f64 (/.f64 t l) (/.f64 (*.f64 t (*.f64 t (sin.f64 k))) l))
(*.f64 (/.f64 t l) (/.f64 (sin.f64 k) (/.f64 l (*.f64 t t))))
(*.f64 (/.f64 t l) (*.f64 (/.f64 (*.f64 t t) l) (sin.f64 k)))
(*.f64 (/.f64 (*.f64 t t) l) (/.f64 (*.f64 t (sin.f64 k)) l))
(*.f64 (/.f64 (*.f64 t t) l) (/.f64 (sin.f64 k) (/.f64 l t)))
(*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k)))
(*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (sin.f64 k)) l))
(*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 (sin.f64 k) (/.f64 l (pow.f64 t #s(literal 3/2 binary64)))))
(*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (sin.f64 k)))
(*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)))
(*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (*.f64 t (*.f64 t t)))
(*.f64 (/.f64 (sin.f64 k) (*.f64 l l)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t t)))))
(*.f64 (/.f64 (*.f64 t (*.f64 t (neg.f64 t))) #s(literal -1 binary64)) (/.f64 (sin.f64 k) (*.f64 l l)))
(*.f64 (/.f64 (sin.f64 k) (/.f64 l t)) (/.f64 (*.f64 t t) l))
(*.f64 (/.f64 (sin.f64 k) (/.f64 l (*.f64 t t))) (/.f64 t l))
(*.f64 (/.f64 (sin.f64 k) (/.f64 l (pow.f64 t #s(literal 3/2 binary64)))) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l))
(*.f64 (/.f64 (sin.f64 k) #s(literal -1 binary64)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l (neg.f64 l))))
(*.f64 (/.f64 (sin.f64 k) (neg.f64 l)) (/.f64 (*.f64 t (*.f64 t (neg.f64 t))) l))
(*.f64 (*.f64 (sin.f64 k) t) (/.f64 (*.f64 t t) (*.f64 l l)))
(*.f64 (*.f64 (sin.f64 k) (*.f64 t t)) (/.f64 t (*.f64 l l)))
(*.f64 (*.f64 (sin.f64 k) (pow.f64 t #s(literal 3/2 binary64))) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 l l)))
(*.f64 (*.f64 (sin.f64 k) (/.f64 t l)) (/.f64 (*.f64 t t) l))
(*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t t) l)) (/.f64 t l))
(*.f64 (*.f64 (sin.f64 k) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l))
(*.f64 (*.f64 (*.f64 t (*.f64 t (*.f64 t (sin.f64 k)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 l l)))

eval196.0ms (1.2%)

Memory
27.7MiB live, 253.7MiB allocated
Compiler

Compiled 52 331 to 3 956 computations (92.4% saved)

prune261.0ms (1.6%)

Memory
13.9MiB live, 379.2MiB allocated
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New1 257201 277
Fresh000
Picked101
Done000
Total1 258201 278
Accuracy
87.5%
Counts
1 278 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.1%
(/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (/.f64 k t) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 k t) #s(literal -1 binary64)) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 l l)))) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 l l)))))
31.5%
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))) l))
38.5%
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 (/.f64 t l) (*.f64 (sin.f64 k) (tan.f64 k))))) l))
33.5%
(/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 l l)) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))))
40.3%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))))
32.2%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t (sin.f64 k))))) (*.f64 l l)) (tan.f64 k)))
37.4%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))))
40.1%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (sin.f64 k) l)) l) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
28.2%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k))))
44.0%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log.f64 t)) (*.f64 (log.f64 l) #s(literal 2 binary64)))) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
34.5%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
29.1%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (/.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 l l)) (/.f64 (*.f64 k k) (*.f64 t t)))))
31.7%
(/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 (/.f64 (*.f64 t t) (*.f64 l l)) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))))
77.5%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))))
57.1%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))))
56.9%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
57.0%
(/.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 k) (*.f64 k k)) (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))))))
40.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
77.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
58.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
Compiler

Compiled 1 126 to 634 computations (43.7% saved)

simplify272.0ms (1.7%)

Memory
2.7MiB live, 308.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 t (*.f64 t t)) l)
cost-diff320
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))) l))
cost-diff384
(*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))
cost-diff384
(/.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))) l)
cost-diff0
(/.f64 (*.f64 k k) (*.f64 t t))
cost-diff0
(*.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k)))
cost-diff320
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k))))
cost-diff384
(*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)))
cost-diff0
(*.f64 (*.f64 k k) (*.f64 k k))
cost-diff0
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l)))))
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 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))))
cost-diff704
(*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))
cost-diff0
(*.f64 l l)
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 l l))
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
cost-diff0
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
cost-diff0
(*.f64 l (*.f64 l (cos.f64 k)))
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k))))
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
cost-diff0
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
Rules
12 130×lower-fma.f32
12 126×lower-fma.f64
8 194×lower-*.f32
8 156×lower-*.f64
2 612×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060634
098610
1227578
2950543
35988543
08248540
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k))))
#s(literal 2 binary64)
(*.f64 l (*.f64 l (cos.f64 k)))
l
(*.f64 l (cos.f64 k))
(cos.f64 k)
k
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
(*.f64 t (*.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(*.f64 #s(literal 2 binary64) (*.f64 l l))
#s(literal 2 binary64)
(*.f64 l l)
l
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
t
(*.f64 (*.f64 k k) (*.f64 k k))
(*.f64 k k)
k
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l)))))
(*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))
(*.f64 (*.f64 k k) (*.f64 k k))
(*.f64 k k)
k
(fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l)))
(/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l))
(*.f64 t (*.f64 k k))
t
(*.f64 l l)
l
(fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))
#s(literal 31/360 binary64)
#s(literal 1/6 binary64)
(/.f64 t (*.f64 l l))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k))))
#s(literal 2 binary64)
(*.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k)))
(*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)))
(/.f64 (*.f64 k k) (*.f64 t t))
(*.f64 k k)
k
(*.f64 t t)
t
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))
(*.f64 t (*.f64 t t))
(*.f64 l l)
l
(*.f64 (sin.f64 k) (tan.f64 k))
(sin.f64 k)
(tan.f64 k)
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))) l))
#s(literal 2 binary64)
(/.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))) l)
(*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))
(/.f64 (*.f64 t (*.f64 t t)) l)
(*.f64 t (*.f64 t t))
t
(*.f64 t t)
l
(*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))
(tan.f64 k)
k
(*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))
(sin.f64 k)
(/.f64 (*.f64 k k) (*.f64 t t))
(*.f64 k k)
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 l l) (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 k (*.f64 t (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(*.f64 (*.f64 l l) (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 k)) (*.f64 k (*.f64 t (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k))))
(*.f64 (cos.f64 k) (*.f64 #s(literal 2 binary64) (*.f64 l l)))
#s(literal 2 binary64)
(*.f64 l (*.f64 l (cos.f64 k)))
(*.f64 (cos.f64 k) (*.f64 l l))
l
(*.f64 l (cos.f64 k))
(cos.f64 k)
k
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))
(*.f64 k (*.f64 t (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
(*.f64 t (*.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
(*.f64 #s(literal 2 binary64) (*.f64 l l))
#s(literal 2 binary64)
(*.f64 l l)
l
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))
t
(*.f64 (*.f64 k k) (*.f64 k k))
(*.f64 k (*.f64 k (*.f64 k k)))
(*.f64 k k)
k
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 k (*.f64 (*.f64 k (*.f64 k k)) (fma.f64 k (*.f64 k #s(literal 31/360 binary64)) #s(literal 1/6 binary64))) (*.f64 k k)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 k (*.f64 (*.f64 k (*.f64 k k)) (fma.f64 k (*.f64 k #s(literal 31/360 binary64)) #s(literal 1/6 binary64))) (*.f64 k k))))
(*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 k (*.f64 (*.f64 k (*.f64 k k)) (fma.f64 k (*.f64 k #s(literal 31/360 binary64)) #s(literal 1/6 binary64))) (*.f64 k k)))
(*.f64 (*.f64 k k) (*.f64 k k))
(*.f64 k (*.f64 k (*.f64 k k)))
(*.f64 k k)
k
(fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l)))
(fma.f64 t (*.f64 (fma.f64 k (*.f64 k #s(literal 31/360 binary64)) #s(literal 1/6 binary64)) (*.f64 k (/.f64 k (*.f64 l l)))) (/.f64 t (*.f64 l l)))
(/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l))
(*.f64 t (*.f64 k k))
t
(*.f64 l l)
l
(fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))
(fma.f64 k (*.f64 k #s(literal 31/360 binary64)) #s(literal 1/6 binary64))
#s(literal 31/360 binary64)
#s(literal 1/6 binary64)
(/.f64 t (*.f64 l l))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 1 binary64))) (*.f64 (sin.f64 k) (tan.f64 k)))) t)
#s(literal 2 binary64)
(*.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k)))
(*.f64 (sin.f64 k) (*.f64 (/.f64 (*.f64 k (*.f64 k (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 l l))) (tan.f64 k)))
(*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)))
(/.f64 (*.f64 k (*.f64 k (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 l l)))
(/.f64 (*.f64 k k) (*.f64 t t))
(*.f64 k k)
k
(*.f64 t t)
t
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))
(*.f64 t (*.f64 t t))
(*.f64 l l)
l
(*.f64 (sin.f64 k) (tan.f64 k))
(sin.f64 k)
(tan.f64 k)
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))) l))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 1 binary64))) (*.f64 (sin.f64 k) (tan.f64 k)))) t)
#s(literal 2 binary64)
(/.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))) l)
(*.f64 (sin.f64 k) (*.f64 (/.f64 (*.f64 k (*.f64 k (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 l l))) (tan.f64 k)))
(*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))
(*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 (*.f64 k k) (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 l (*.f64 t t))))
(/.f64 (*.f64 t (*.f64 t t)) l)
(*.f64 t (*.f64 t t))
t
(*.f64 t t)
l
(*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))
(/.f64 (*.f64 (*.f64 k k) (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 t t))
(tan.f64 k)
k
(*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))
(sin.f64 k)
(/.f64 (*.f64 k k) (*.f64 t t))
(*.f64 k k)

localize451.0ms (2.8%)

Memory
-11.9MiB live, 506.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.6810201483298854
(/.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))) l)
accuracy4.057768752245184
(/.f64 (*.f64 t (*.f64 t t)) l)
accuracy13.538824723823945
(/.f64 (*.f64 k k) (*.f64 t t))
accuracy28.751502976196875
(*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))
accuracy2.4513285439839807
(*.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k)))
accuracy12.160859255968038
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))
accuracy13.538824723823945
(/.f64 (*.f64 k k) (*.f64 t t))
accuracy27.755722822176047
(*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)))
accuracy6.735427632398907
(*.f64 t (*.f64 k k))
accuracy9.839534792035488
(*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))
accuracy11.432347130479084
(/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l))
accuracy25.809200499958003
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l)))))
accuracy0.146816259768442
(*.f64 (*.f64 k k) (*.f64 k k))
accuracy4.661013620568597
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
accuracy13.08248032642018
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
accuracy17.379483103002382
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
accuracy0.15072250976844204
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))
accuracy0.28744125976844204
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
accuracy6.735427632398907
(*.f64 t (*.f64 k k))
accuracy11.77484657697212
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
Samples
79.0ms31×3valid
76.0ms151×0valid
40.0ms46×2valid
21.0ms28×1valid
Compiler

Compiled 545 to 57 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-div: 54.0ms (34.8% of total)
ival-mult: 42.0ms (27.1% of total)
adjust: 11.0ms (7.1% of total)
const: 8.0ms (5.2% of total)
ival-sin: 8.0ms (5.2% of total)
ival-tan: 7.0ms (4.5% of total)
ival-pow2: 7.0ms (4.5% of total)
ival-cos: 5.0ms (3.2% of total)
ival-add: 5.0ms (3.2% of total)
ival-pow: 4.0ms (2.6% of total)
ival-sub: 2.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series93.0ms (0.6%)

Memory
18.6MiB live, 171.0MiB allocated
Counts
26 → 744
Calls
Call 1
Inputs
#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))) (patch (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (patch (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) #<representation binary64>) () ())
#s(alt (*.f64 l (*.f64 l (cos.f64 k))) (patch (*.f64 l (*.f64 l (cos.f64 k))) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))) (patch (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (*.f64 l l)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l l)) #<representation binary64>) () ())
#s(alt (*.f64 l l) (patch (*.f64 l l) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l)))) (patch (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l)))))) (patch (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l)))))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))) (patch #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 k k) (*.f64 k k)) (patch (*.f64 (*.f64 k k) (*.f64 k k)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))) (patch (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k))) (patch (*.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 k k) (*.f64 t t)) (patch (/.f64 (*.f64 k k) (*.f64 t t)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))) l) (patch (/.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))) l) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))) (patch (*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))) l)) (patch (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))) l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 t (*.f64 t t)) l) (patch (/.f64 (*.f64 t (*.f64 t t)) l) #<representation binary64>) () ())
#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())
#s(alt (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (patch (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) #<representation binary64>) () ())
#s(alt (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))) (patch (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())
Outputs
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor inf t) (#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor inf t) (#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor inf t) (#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor inf t) (#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor -inf t) (#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor -inf t) (#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor -inf t) (#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor -inf t) (#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 l) (#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 l) (#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 l) (#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) #<representation binary64>) () ())) ())
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#s(alt (/ (* (pow k 2) t) (pow l 2)) (taylor -inf l) (#s(alt (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor 0 t) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
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#s(alt (/ (pow t 3) (pow l 2)) (taylor inf t) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor inf t) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor inf t) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor -inf t) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor -inf t) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor -inf t) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
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#s(alt (/ (pow t 3) (pow l 2)) (taylor 0 l) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor 0 l) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor 0 l) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor inf l) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor inf l) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor inf l) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor inf l) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor -inf l) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor -inf l) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor -inf l) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor -inf l) (#s(alt (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) #<representation binary64>) () ())) ())
Calls

186 calls:

TimeVariablePointExpression
7.0ms
t
@-inf
(/ (* 2 (* l l)) (* t (* (* k k) (* k k))))
6.0ms
t
@0
(* (/ (* k k) (* t t)) (/ (* t (* t t)) (* l l)))
5.0ms
t
@0
(/ (* 2 (* l l)) (* t (* (* k k) (* k k))))
2.0ms
k
@inf
(/ (* 2 (* l (* l (cos k)))) (* (pow (sin k) 2) (* t (* k k))))
2.0ms
t
@0
(* (* (* k k) (* k k)) (+ (* (/ (* t (* k k)) (* l l)) (+ (* (* k k) 31/360) 1/6)) (/ t (* l l))))

simplify317.0ms (2%)

Memory
5.0MiB live, 479.3MiB allocated
Algorithm
egg-herbie
Rules
10 984×lower-fma.f64
10 984×lower-fma.f32
6 978×lower-*.f64
6 978×lower-*.f32
4 404×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024610577
181210521
2312910228
0811810085
Stop Event
iter limit
node limit
Counts
744 → 744
Calls
Call 1
Inputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 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))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ (+ (* 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 l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (pow l 2))
(+ (* -1 (* (pow k 2) (pow l 2))) (* 2 (pow l 2)))
(+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1 (pow l 2)) (* 1/12 (* (pow k 2) (pow l 2))))))
(+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1 (pow l 2)) (* (pow k 2) (+ (* -1/360 (* (pow k 2) (pow l 2))) (* 1/12 (pow l 2)))))))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* 2 (* (pow l 2) (cos k)))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(pow l 2)
(+ (* -1/2 (* (pow k 2) (pow l 2))) (pow l 2))
(+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* 1/24 (* (pow k 2) (pow l 2))))) (pow l 2))
(+ (* (pow k 2) (+ (* -1/2 (pow l 2)) (* (pow k 2) (+ (* -1/720 (* (pow k 2) (pow l 2))) (* 1/24 (pow l 2)))))) (pow l 2))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* (pow l 2) (cos k))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 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))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
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(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
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(/ (* (pow k 2) (* t (pow (sin k) 2))) (* l (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* l (cos k)))
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(/ (* (pow k 2) (* t (pow (sin k) 2))) (* l (cos k)))
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(/ (* (pow k 2) (* t (pow (sin k) 2))) (* l (cos k)))
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(/ (* (pow k 2) (* t (pow (sin k) 2))) (* l (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* l (cos k)))
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(/ (* (pow k 2) (* t (pow (sin k) 2))) (* l (cos k)))
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(/ (* (pow k 2) (* t (pow (sin k) 2))) (* l (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* l (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* l (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* l (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* l (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* l (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* l (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* l (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* l (cos k)))
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(/ (* (pow k 2) (* t (pow (sin k) 2))) (* l (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* l (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* l (cos k)))
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(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
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(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
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(* 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))
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(/ (pow t 3) l)
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(/ (pow t 3) l)
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(/ (pow t 3) l)
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(/ (pow t 3) l)
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(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
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(* (pow k 2) t)
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(* (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 (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
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(pow (sin k) 2)
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(* (pow k 4) t)
(* (pow k 4) t)
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(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
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(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
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(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
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(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
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(/ (pow t 3) (pow l 2))
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Outputs
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(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
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(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(pow k 2)
(*.f64 k k)
(* (pow k 2) (+ 1 (* -1/3 (pow k 2))))
(*.f64 k (fma.f64 k (*.f64 k (*.f64 k #s(literal -1/3 binary64))) k))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))
(*.f64 k (*.f64 k (fma.f64 k (*.f64 k (fma.f64 (*.f64 k k) #s(literal 2/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))
(*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 k (*.f64 k #s(literal -1/315 binary64)) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) (+ t (* -1/3 (* (pow k 2) t))))
(*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (*.f64 k k) (*.f64 t #s(literal -1/3 binary64)) t))
(* (pow k 4) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))
(*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (*.f64 k k) (*.f64 t (fma.f64 (*.f64 k k) #s(literal 2/45 binary64) #s(literal -1/3 binary64))) t))
(* (pow k 4) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))
(*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (*.f64 t (fma.f64 k (*.f64 k #s(literal -1/315 binary64)) #s(literal 2/45 binary64))) (*.f64 t #s(literal -1/3 binary64))) t))
(* (pow k 2) (* t (pow (sin k) 2)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (pow (sin k) 2)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (pow (sin k) 2)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (pow (sin k) 2)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (pow (sin k) 2)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (pow (sin k) 2)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (pow (sin k) 2)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (pow (sin k) 2)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (pow (sin k) 2)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (pow (sin k) 2)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (pow (sin k) 2)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (pow (sin k) 2)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (pow (sin k) 2)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (pow (sin k) 2)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (pow (sin k) 2)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (pow (sin k) 2)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (pow (sin k) 2)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (pow (sin k) 2)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (pow (sin k) 2)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (pow (sin k) 2)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (* (pow k 2) t) (pow l 2))
(/.f64 (*.f64 (*.f64 k k) t) (*.f64 l l))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))
(/ (pow t 3) (pow l 2))
(*.f64 (*.f64 t t) (/.f64 t (*.f64 l l)))

rewrite407.0ms (2.5%)

Memory
3.6MiB live, 482.5MiB allocated
Rules
4 980×lower-/.f32
4 960×lower-/.f64
4 288×lower-*.f32
4 250×lower-*.f64
3 252×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060480
098440
1382418
23185370
08693370
Stop Event
iter limit
node limit
iter limit
Counts
26 → 1 045
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k))))
(*.f64 l (*.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(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(*.f64 #s(literal 2 binary64) (*.f64 l l))
(*.f64 l l)
(*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 t (*.f64 l l)))))
(*.f64 (*.f64 k k) (*.f64 k k))
(*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k))))
(*.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k)))
(/.f64 (*.f64 k k) (*.f64 t t))
(/.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))) l)
(*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t t)) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))) l))
(/.f64 (*.f64 t (*.f64 t t)) l)
(*.f64 t (*.f64 k k))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l))
(/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) (*.f64 (cos.f64 k) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (/.f64 (*.f64 t (*.f64 k k)) (*.f64 (*.f64 l l) (*.f64 (cos.f64 k) #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (neg.f64 (*.f64 t (*.f64 k k))))) (/.f64 (*.f64 (*.f64 l l) (*.f64 (cos.f64 k) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (neg.f64 (*.f64 t (*.f64 k k))))))
(neg.f64 (/.f64 (*.f64 (*.f64 l l) (*.f64 (cos.f64 k) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (neg.f64 (*.f64 t (*.f64 k k))))))
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(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (/.f64 (*.f64 t (*.f64 k k)) (*.f64 (*.f64 l l) (*.f64 (cos.f64 k) #s(literal 2 binary64))))))
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eval275.0ms (1.7%)

Memory
29.5MiB live, 568.7MiB allocated
Compiler

Compiled 53 413 to 3 887 computations (92.7% saved)

prune377.0ms (2.4%)

Memory
-0.3MiB live, 715.7MiB allocated
Pruning

39 alts after pruning (38 fresh and 1 done)

PrunedKeptTotal
New1 982382 020
Fresh15015
Picked415
Done000
Total2 001392 040
Accuracy
98.7%
Counts
2 040 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.3%
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))
64.5%
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (*.f64 t (/.f64 (*.f64 (*.f64 k k) (*.f64 k k)) l))) l))
86.4%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (/.f64 t l) (*.f64 k k)) l) (*.f64 (sin.f64 k) (tan.f64 k))))
93.8%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 l (*.f64 t k)) #s(literal -1 binary64)) (pow.f64 (/.f64 l k) #s(literal -1 binary64))) (*.f64 (sin.f64 k) (tan.f64 k))))
78.4%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (tan.f64 k)) (sin.f64 k)))
93.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k))))
76.6%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 l l)) t) (*.f64 (sin.f64 k) (tan.f64 k))))
29.8%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) k) (/.f64 k (*.f64 t t))) (*.f64 (sin.f64 k) (tan.f64 k))))
81.8%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 t k) (/.f64 k (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k))))
32.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (/.f64 (/.f64 (*.f64 k k) (*.f64 t t)) l)))))
81.5%
(/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (/.f64 k t)) (*.f64 #s(literal 3 binary64) (log.f64 t))) (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.f64 (sin.f64 k) (tan.f64 k))))
57.0%
(/.f64 #s(literal 2 binary64) #s(approx (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))))))
57.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(approx (* (* (* k k) (* k k)) (+ (* (/ (* t (* k k)) (* l l)) (+ (* (* k k) 31/360) 1/6)) (/ t (* l l)))) (/.f64 (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 k (*.f64 k (*.f64 t (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))) t)) (*.f64 l l)))))
78.5%
(*.f64 (/.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 (sin.f64 k) (tan.f64 k))) #s(literal 2 binary64))
40.4%
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 k (*.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
60.5%
#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 l l)) t) (*.f64 k k)) (*.f64 k k)))
63.3%
#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 l l)) (*.f64 t (*.f64 k k))) (*.f64 k k)))
58.6%
#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 l l)) (*.f64 k (*.f64 k (*.f64 k k)))) t))
56.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) t) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 k k)))))
75.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (*.f64 t k) (*.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
62.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (*.f64 k k)))))
61.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 t (*.f64 k k)) k) k)))
61.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k))))
59.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k)))))
58.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
58.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))))
63.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
43.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (* l (* l (cos k)))) (*.f64 (*.f64 l l) (-.f64 #s(literal 2 binary64) (*.f64 k k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
70.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64))))
64.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (pow.f64 (/.f64 (*.f64 k (*.f64 k (*.f64 k k))) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 t l) #s(literal -1 binary64))))
78.5%
#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) l) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 k k))))
79.0%
#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) l) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 l (cos.f64 k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
70.3%
#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) l) (*.f64 t (*.f64 k k))) (/.f64 l (*.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 #s(literal 2 binary64) l) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 l t)))
62.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 l l) (*.f64 k k))))
62.1%
#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 t (*.f64 k k))) (pow.f64 (/.f64 (*.f64 k k) (*.f64 #s(literal 2 binary64) (*.f64 l l))) #s(literal -1 binary64))))
79.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k))))))
63.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
63.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
Compiler

Compiled 1 705 to 1 010 computations (40.8% saved)

simplify395.0ms (2.5%)

Memory
33.9MiB live, 468.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64))))
cost-diff384
(*.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64)))
cost-diff6464
(pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64))
cost-diff6464
(pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64))
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 l l))
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))))
cost-diff0
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))))
cost-diff12160
(exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 l l))
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 k 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) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 k k)))) t))
cost-diff384
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 k k)))) t)
cost-diff0
(/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
cost-diff0
(*.f64 #s(literal 2 binary64) l)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
cost-diff0
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
cost-diff0
(/.f64 (*.f64 t k) l)
cost-diff0
(*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))
cost-diff384
(*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l))
cost-diff384
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k))))
Rules
14 136×lower-fma.f64
14 136×lower-fma.f32
5 676×lower-*.f32
5 646×lower-*.f64
2 312×lower-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056454
087420
1171382
2513374
32102370
44550370
57107370
08066370
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k))))
#s(literal 2 binary64)
(*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))
(*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l))
(/.f64 (*.f64 t k) l)
(*.f64 t k)
t
k
l
(/.f64 k l)
(*.f64 (sin.f64 k) (tan.f64 k))
(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 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
(*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))
t
(*.f64 k (*.f64 k (*.f64 k k)))
k
(*.f64 k (*.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) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 k k)))) t))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 k k)))) t)
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 k k))))
(*.f64 #s(literal 2 binary64) (*.f64 l l))
#s(literal 2 binary64)
(*.f64 l l)
l
(*.f64 k (*.f64 k (*.f64 k k)))
k
(*.f64 k (*.f64 k k))
(*.f64 k k)
t
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 l l))
#s(literal 2 binary64)
(*.f64 l l)
l
(*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))
t
(exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))
(*.f64 (log.f64 k) #s(literal 4 binary64))
(log.f64 k)
k
#s(literal 4 binary64)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64))
(/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l))
(*.f64 t (*.f64 k k))
t
(*.f64 k k)
k
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
#s(literal -1 binary64)
(pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64))
(/.f64 (*.f64 k k) l)
Outputs
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 t k) (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k)))) (*.f64 l l))
#s(literal 2 binary64)
(*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))
(*.f64 (tan.f64 k) (*.f64 (*.f64 (sin.f64 k) (*.f64 t k)) (/.f64 k (*.f64 l l))))
(*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l))
(/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l))
(/.f64 (*.f64 t k) l)
(*.f64 t k)
t
k
l
(/.f64 k l)
(*.f64 (sin.f64 k) (tan.f64 k))
(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 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
(*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))
t
(*.f64 k (*.f64 k (*.f64 k k)))
k
(*.f64 k (*.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) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 k k)))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 k k)))) t)
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 k k))))
(*.f64 #s(literal 2 binary64) (*.f64 l l))
#s(literal 2 binary64)
(*.f64 l l)
l
(*.f64 k (*.f64 k (*.f64 k k)))
k
(*.f64 k (*.f64 k k))
(*.f64 k k)
t
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
(*.f64 #s(literal 2 binary64) (*.f64 l l))
#s(literal 2 binary64)
(*.f64 l l)
l
(*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))
(*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))
t
(exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))
(*.f64 k (*.f64 k (*.f64 k k)))
(*.f64 (log.f64 k) #s(literal 4 binary64))
(log.f64 k)
k
#s(literal 4 binary64)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
(*.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
(pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t (*.f64 k k)))
(/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l))
(*.f64 t (*.f64 k k))
t
(*.f64 k k)
k
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
#s(literal -1 binary64)
(pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64))
(/.f64 l (*.f64 k k))
(/.f64 (*.f64 k k) l)

localize299.0ms (1.9%)

Memory
-21.7MiB live, 474.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy5.614403485485502
(/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l))
accuracy6.386447314821915
(/.f64 (*.f64 k k) l)
accuracy6.735427632398906
(*.f64 t (*.f64 k k))
accuracy17.379483103002382
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64))))
accuracy1.5087137674795326
(exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))
accuracy4.661013620568597
(*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))
accuracy13.08248032642018
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))))
accuracy17.379483103002382
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))))
accuracy0.09765625
(*.f64 k (*.f64 k k))
accuracy4.029918423217158
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 k k)))) t)
accuracy15.206308479077316
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 k k))))
accuracy17.379483103002382
#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 l l)) (*.f64 k (*.f64 k (*.f64 k k)))) t))
accuracy3.7163874670494392
(*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
accuracy3.812943526249325
(/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
accuracy4.661013620568597
(*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))
accuracy17.379483103002382
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
accuracy0.20541000976844204
(*.f64 (sin.f64 k) (tan.f64 k))
accuracy0.26755733195805875
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k))))
accuracy2.4513285439839807
(*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))
accuracy5.257682066844778
(/.f64 (*.f64 t k) l)
Samples
102.0ms151×0valid
36.0ms45×2valid
32.0ms31×3valid
18.0ms29×1valid
Compiler

Compiled 390 to 51 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 131.0ms
ival-div: 41.0ms (31.4% of total)
ival-mult: 33.0ms (25.3% of total)
adjust: 11.0ms (8.4% of total)
ival-pow: 9.0ms (6.9% of total)
ival-sub: 7.0ms (5.4% of total)
ival-sin: 7.0ms (5.4% of total)
ival-tan: 5.0ms (3.8% of total)
ival-pow2: 5.0ms (3.8% of total)
ival-log: 5.0ms (3.8% of total)
ival-exp: 4.0ms (3.1% of total)
ival-add: 2.0ms (1.5% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series54.0ms (0.3%)

Memory
32.5MiB live, 69.9MiB allocated
Counts
26 → 744
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (patch (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k))) (patch (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 t k) l) (patch (/.f64 (*.f64 t k) l) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))) (patch (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) l) (patch (*.f64 #s(literal 2 binary64) l) #<representation binary64>) () ())
#s(alt (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) (patch (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 k k)))) t) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 k k)))) t) #<representation binary64>) () ())
#s(alt #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 l l)) (*.f64 k (*.f64 k (*.f64 k k)))) t)) (patch #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 l l)) (*.f64 k (*.f64 k (*.f64 k k)))) t)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 k k)))) (patch (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 k k)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (*.f64 l l)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l l)) #<representation binary64>) () ())
#s(alt (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) (patch (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))) (patch (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64))) (patch (*.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64)))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 k) (tan.f64 k)) (patch (*.f64 (sin.f64 k) (tan.f64 k)) #<representation binary64>) () ())
#s(alt (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (patch (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) #<representation binary64>) () ())
#s(alt (*.f64 k (*.f64 k k)) (patch (*.f64 k (*.f64 k k)) #<representation binary64>) () ())
#s(alt (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) (patch (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 k k) l) (patch (/.f64 (*.f64 k k) l) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) (patch (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #<representation binary64>) () ())
Outputs
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor inf t) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor inf t) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor inf t) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor inf t) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor -inf t) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor -inf t) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor -inf t) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor -inf t) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (pow l 2) (* (pow k 4) t))) (taylor 0 k) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4)) (taylor 0 k) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 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)) (taylor 0 k) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (/ (* (pow k 2) t) l)) (taylor inf l) (#s(alt (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) (patch (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow k 2) t) l)) (taylor inf l) (#s(alt (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) (patch (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow k 2) t) l)) (taylor inf l) (#s(alt (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) (patch (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow k 2) t) l)) (taylor inf l) (#s(alt (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) (patch (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow k 2) t) l)) (taylor -inf l) (#s(alt (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) (patch (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow k 2) t) l)) (taylor -inf l) (#s(alt (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) (patch (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow k 2) t) l)) (taylor -inf l) (#s(alt (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) (patch (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (* (pow k 2) t) l)) (taylor -inf l) (#s(alt (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) (patch (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #<representation binary64>) () ())) ())
Calls

186 calls:

TimeVariablePointExpression
1.0ms
l
@0
(pow (/ (* t (* k k)) (* 2 l)) -1)
1.0ms
l
@0
(/ (* 2 (* l l)) (* k (* k (* k k))))
1.0ms
t
@0
(pow (/ (* t (* k k)) (* 2 l)) -1)
1.0ms
l
@inf
(pow (/ (* t (* k k)) (* 2 l)) -1)
1.0ms
l
@inf
(/ (* 2 (* l l)) (* k (* k (* k k))))

simplify381.0ms (2.4%)

Memory
-47.3MiB live, 317.8MiB allocated
Algorithm
egg-herbie
Rules
10 384×lower-fma.f64
10 384×lower-fma.f32
5 914×lower-*.f64
5 914×lower-*.f32
5 424×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138424
13578404
213868268
345448268
457028268
559348268
659558268
759568268
859568268
087038226
Stop Event
iter limit
node limit
Counts
744 → 744
Calls
Call 1
Inputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 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))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) t) (pow l 2))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (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) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(/ (* k t) l)
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 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))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(/ l (* (pow k 4) t))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 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))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (/ (pow l 2) (pow k 4)))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(* 2 (pow l 2))
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 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))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(* 2 (/ l (* (pow k 2) t)))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(/ l (pow k 2))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 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))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(pow k 2)
(* (pow k 2) (+ 1 (* 1/6 (pow k 2))))
(* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* 31/360 (pow k 2))))))
(* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* (pow k 2) (+ 31/360 (* 173/5040 (pow k 2))))))))
(/ (pow (sin k) 2) (cos k))
(/ (pow (sin k) 2) (cos k))
(/ (pow (sin k) 2) (cos k))
(/ (pow (sin k) 2) (cos k))
(/ (pow (sin k) 2) (cos k))
(/ (pow (sin k) 2) (cos k))
(/ (pow (sin k) 2) (cos k))
(/ (pow (sin k) 2) (cos k))
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(pow k 3)
(pow k 3)
(pow k 3)
(pow k 3)
(pow k 3)
(pow k 3)
(pow k 3)
(pow k 3)
(pow k 3)
(pow k 3)
(pow k 3)
(pow k 3)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(* (pow k 2) t)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
(* 1/2 (/ (* (pow k 2) t) l))
Outputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
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(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(* (pow k 2) t)
(*.f64 (*.f64 k k) t)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)
(* 1/2 (/ (* (pow k 2) t) l))
(/.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) l)

rewrite280.0ms (1.8%)

Memory
19.9MiB live, 410.3MiB allocated
Rules
5 206×lower-/.f32
5 188×lower-/.f64
4 146×lower-*.f32
4 116×lower-*.f64
1 946×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056374
087344
1301308
22032302
08109302
Stop Event
iter limit
node limit
iter limit
Counts
26 → 1 272
Calls
Call 1
Inputs
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k))))
(*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l))
(*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k)))
(/.f64 (*.f64 t k) l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
(*.f64 #s(literal 2 binary64) l)
(/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 k k)))) t))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 k k))))
(*.f64 #s(literal 2 binary64) (*.f64 l l))
(exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))))
(pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64))))
(*.f64 (sin.f64 k) (tan.f64 k))
(*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))
(*.f64 k (*.f64 k k))
(*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))
(*.f64 t (*.f64 k k))
(/.f64 (*.f64 k k) l)
(/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 t (*.f64 k k))) (*.f64 l l))))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 t (*.f64 k k))) (*.f64 l l)))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (neg.f64 (*.f64 (sin.f64 k) (tan.f64 k))))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 t (*.f64 k k))) (*.f64 l l)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 k) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (sin.f64 k)) (*.f64 l l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 k) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k)))) (sin.f64 k))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 k) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k)))) (tan.f64 k))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (neg.f64 (*.f64 (sin.f64 k) (tan.f64 k)))))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (neg.f64 (*.f64 (sin.f64 k) (tan.f64 k)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k)))) (*.f64 (sin.f64 k) (tan.f64 k)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k))))) (neg.f64 (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 k) (tan.f64 k))) (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)))
(/.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (sin.f64 k)) (*.f64 l l))) (tan.f64 k))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k)))) (sin.f64 k)) (tan.f64 k))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k)))) (tan.f64 k)) (sin.f64 k))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k)))) (neg.f64 (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k)))))) (neg.f64 (neg.f64 (*.f64 (sin.f64 k) (tan.f64 k)))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (neg.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (sin.f64 k)) (*.f64 l l)))) (neg.f64 (tan.f64 k)))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k)))) (sin.f64 k))) (neg.f64 (tan.f64 k)))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k)))) (tan.f64 k))) (neg.f64 (sin.f64 k)))
(pow.f64 (*.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 (sin.f64 k) (tan.f64 k))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k)))) (*.f64 (sin.f64 k) (tan.f64 k))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) #s(literal 1/2 binary64))))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (neg.f64 (*.f64 (sin.f64 k) (tan.f64 k))))))
(*.f64 (/.f64 l (*.f64 t k)) (pow.f64 (*.f64 (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 (sin.f64 k) (tan.f64 k))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k)))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k))))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k))))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sin.f64 k) (tan.f64 k)))))
(*.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k))) (pow.f64 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k)))))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k)))))
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(*.f64 (*.f64 t k) (/.f64 k (*.f64 #s(literal 2 binary64) l)))
(*.f64 (/.f64 (*.f64 t k) l) (*.f64 k #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 t k) l) (pow.f64 (/.f64 #s(literal 2 binary64) k) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)))
(*.f64 (*.f64 k k) (/.f64 t (*.f64 #s(literal 2 binary64) l)))
(*.f64 (*.f64 t (*.f64 k k)) (/.f64 #s(literal 1/2 binary64) l))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t (*.f64 k k))))))
(*.f64 (/.f64 (*.f64 k k) l) (*.f64 t #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (*.f64 t (*.f64 k k))) (/.f64 #s(literal 1 binary64) (*.f64 l #s(literal -2 binary64))))
(*.f64 (*.f64 t #s(literal 1/2 binary64)) (/.f64 (*.f64 k k) l))
(*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) l) (*.f64 t (*.f64 k k)))
(*.f64 (/.f64 #s(literal 1/2 binary64) l) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k k))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 t (*.f64 k k)) l) #s(literal 1/2 binary64))
(*.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 (*.f64 (*.f64 k k) #s(literal 1/2 binary64)) l) t)
(*.f64 (*.f64 t #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 k k) #s(literal 1/2 binary64)) l))
(*.f64 (*.f64 (*.f64 t (*.f64 k k)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) l))
(*.f64 (neg.f64 (neg.f64 (*.f64 t (*.f64 k k)))) (/.f64 #s(literal 1/2 binary64) l))
(*.f64 (neg.f64 (*.f64 t (*.f64 (*.f64 k k) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(*.f64 (/.f64 t l) (*.f64 (*.f64 k k) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 k k) #s(literal 1/2 binary64)) (/.f64 t l))
(*.f64 (*.f64 (*.f64 t k) #s(literal 1/2 binary64)) (/.f64 k l))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 l (*.f64 t (*.f64 k k))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 t #s(literal 1/2 binary64)) k) (/.f64 k l))
(*.f64 (*.f64 (*.f64 t #s(literal 1/2 binary64)) (*.f64 k k)) (/.f64 #s(literal 1 binary64) l))
(*.f64 (*.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 k k) l))
(*.f64 (*.f64 (*.f64 t #s(literal 1/2 binary64)) (*.f64 k (neg.f64 k))) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k k))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) l))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 k k) #s(literal 1/2 binary64)) l))
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 l t) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 k k)) #s(literal -1 binary64)) (pow.f64 (/.f64 l t) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t k)) #s(literal -1 binary64)) (/.f64 k l))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 t (*.f64 k k)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 l #s(literal -2 binary64))))
(*.f64 (exp.f64 (log.f64 (*.f64 t (*.f64 k k)))) (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) l)))))
(*.f64 (exp.f64 (log.f64 (*.f64 t #s(literal 1/2 binary64)))) (/.f64 (*.f64 k k) l))

eval291.0ms (1.8%)

Memory
18.0MiB live, 518.2MiB allocated
Compiler

Compiled 39 747 to 2 544 computations (93.6% saved)

prune334.0ms (2.1%)

Memory
-27.9MiB live, 618.3MiB allocated
Pruning

48 alts after pruning (47 fresh and 1 done)

PrunedKeptTotal
New2 038292 067
Fresh151833
Picked415
Done101
Total2 058482 106
Accuracy
98.9%
Counts
2 106 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.3%
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k)))
78.5%
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k)))) (*.f64 (sin.f64 k) (tan.f64 k)))
95.2%
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k))))
94.3%
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 t k) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k)))) l))
78.1%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (sin.f64 k)) (*.f64 l l)) (tan.f64 k)))
81.5%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 t (neg.f64 k)) (neg.f64 k)) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k))))
93.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k))))
69.1%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) #s(approx (* (sin k) (tan k)) (*.f64 k k))))
76.6%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 l l)) t) (*.f64 (sin.f64 k) (tan.f64 k))))
81.8%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 t k) (/.f64 k (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k))))
92.4%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k (/.f64 t l)) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k))))
57.0%
(/.f64 #s(literal 2 binary64) #s(approx (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))))))
57.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(approx (* (* (* k k) (* k k)) (+ (* (/ (* t (* k k)) (* l l)) (+ (* (* k k) 31/360) 1/6)) (/ t (* l l)))) (/.f64 (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 k (*.f64 k (*.f64 t (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))) t)) (*.f64 l l)))))
40.4%
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 k (*.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
58.5%
#s(approx (/ 2 (* (* (/ (* t k) l) (/ k l)) (* (sin k) (tan k)))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
71.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (pow.f64 (*.f64 (pow.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 l (*.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 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 k k)) (*.f64 k k)))
69.9%
#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) l) (*.f64 k k)) (/.f64 (*.f64 k k) l)) t))
63.3%
#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 l l)) (*.f64 t (*.f64 k k))) (*.f64 k k)))
69.8%
#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) l) (*.f64 k k)) (/.f64 l (*.f64 k k))) t))
59.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l t) (*.f64 #s(literal 2 binary64) l)) (*.f64 k (*.f64 k (*.f64 k k)))))
75.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (*.f64 t k) (*.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
62.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (*.f64 k k)))))
61.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 t (*.f64 k k)) k) k)))
63.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
65.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 t k) (/.f64 (*.f64 k (*.f64 k k)) l))))
58.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* 2 (* l l)) (* k (* k (* k k)))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k k)))) t))
43.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (* l (* l (cos k)))) (*.f64 (*.f64 l l) (-.f64 #s(literal 2 binary64) (*.f64 k k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
58.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (* l l)) (*.f64 l (+.f64 l l))) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))))
69.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) (*.f64 k k)) #s(literal -1 binary64)) l))
60.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (pow.f64 (*.f64 t (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 l l)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k k)))))
70.4%
#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) l) (*.f64 t k)) k) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64))))
78.5%
#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) l) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 k k))))
70.3%
#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) l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
66.6%
#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) l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k)))))
62.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 l l) (*.f64 k k))))
59.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t k)) (/.f64 (*.f64 l l) (*.f64 k (*.f64 k k)))))
62.1%
#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 t (*.f64 k k))) (pow.f64 (/.f64 (*.f64 k k) (*.f64 #s(literal 2 binary64) (*.f64 l l))) #s(literal -1 binary64))))
59.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l t) (*.f64 #s(literal 2 binary64) l)) (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k (*.f64 k k))))))
68.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 (/.f64 l t) (*.f64 k k)) (*.f64 k k))))
79.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k))))))
67.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
67.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k)))))
65.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
63.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (exp.f64 (*.f64 (log.f64 k) #s(literal 3 binary64))))))))
63.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
63.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l)))
63.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
Compiler

Compiled 1 982 to 1 155 computations (41.7% saved)

simplify329.0ms (2.1%)

Memory
-0.8MiB live, 431.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* l (* l (cos k))) (*.f64 l l))
cost-diff0
(*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l)))
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
cost-diff0
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
cost-diff0
#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) l) (*.f64 k k)) (/.f64 (*.f64 k k) l)) t))
cost-diff128
(*.f64 #s(literal 2 binary64) l)
cost-diff384
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 (*.f64 k k) l)) t)
cost-diff768
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 (*.f64 k k) l))
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t 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) l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k)))))
cost-diff128
(*.f64 #s(literal 2 binary64) l)
cost-diff384
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k))))
cost-diff0
(+.f64 l l)
cost-diff0
#s(approx (* 2 l) (+.f64 l l))
cost-diff0
(*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
cost-diff0
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
cost-diff0
(*.f64 t k)
cost-diff0
(/.f64 l (*.f64 t k))
cost-diff128
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k)))
cost-diff768
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k))))
Rules
16 448×lower-fma.f64
16 448×lower-fma.f32
5 546×lower-*.f32
5 516×lower-*.f64
2 254×lower-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059473
089449
1185427
2614411
32781411
44260411
56047411
08101411
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k))))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k)))
#s(literal 2 binary64)
(/.f64 l (*.f64 t k))
l
(*.f64 t k)
t
k
(*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k)))
(/.f64 k l)
(*.f64 (sin.f64 k) (tan.f64 k))
(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 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
(*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (* 2 l) (+.f64 l l))
(+.f64 l l)
l
(/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
(*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))
t
(*.f64 k (*.f64 k (*.f64 k k)))
k
(*.f64 k (*.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) l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k))))
(/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t k))
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(*.f64 t k)
t
k
(/.f64 l (*.f64 k (*.f64 k k)))
(*.f64 k (*.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 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 (*.f64 k k) l)) t))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 (*.f64 k k) l)) t)
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 (*.f64 k k) l))
(/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k))
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(*.f64 k k)
k
(/.f64 (*.f64 k k) l)
t
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l)))
#s(literal 2 binary64)
#s(approx (* l (* l (cos k))) (*.f64 l l))
(*.f64 l l)
l
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
k
(*.f64 t (*.f64 k k))
t
(*.f64 k k)
Outputs
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k))))
(*.f64 l (/.f64 (+.f64 l l) (*.f64 (*.f64 (sin.f64 k) (*.f64 k (tan.f64 k))) (*.f64 t k))))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k)))
(/.f64 (+.f64 l l) (*.f64 t k))
#s(literal 2 binary64)
(/.f64 l (*.f64 t k))
l
(*.f64 t k)
t
k
(*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k)))
(*.f64 (sin.f64 k) (/.f64 (*.f64 k (tan.f64 k)) l))
(/.f64 k l)
(*.f64 (sin.f64 k) (tan.f64 k))
(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 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
(*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (* 2 l) (+.f64 l l))
(+.f64 l l)
l
(/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
(*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))
t
(*.f64 k (*.f64 k (*.f64 k k)))
k
(*.f64 k (*.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) l) (*.f64 t k)) (/.f64 l (*.f64 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 l l)) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k))))
(/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
(/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t k))
(/.f64 (+.f64 l l) (*.f64 t k))
(*.f64 #s(literal 2 binary64) l)
(+.f64 l l)
#s(literal 2 binary64)
l
(*.f64 t k)
t
k
(/.f64 l (*.f64 k (*.f64 k k)))
(*.f64 k (*.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 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 (*.f64 k k) l)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 (*.f64 k k) l)) t)
(/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 (*.f64 k k) l))
(/.f64 (*.f64 l (+.f64 l l)) (*.f64 k (*.f64 k (*.f64 k k))))
(/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k))
(/.f64 (+.f64 l l) (*.f64 k k))
(*.f64 #s(literal 2 binary64) l)
(+.f64 l l)
#s(literal 2 binary64)
l
(*.f64 k k)
k
(/.f64 (*.f64 k k) l)
t
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (*.f64 t k) (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (*.f64 t k) (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l)))
#s(literal 2 binary64)
#s(approx (* l (* l (cos k))) (*.f64 l l))
(*.f64 l l)
l
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))
(*.f64 (*.f64 t k) (*.f64 k (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
k
(*.f64 t (*.f64 k k))
t
(*.f64 k k)

localize211.0ms (1.3%)

Memory
27.8MiB live, 420.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.28744125976844204
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
accuracy6.735427632398906
(*.f64 t (*.f64 k k))
accuracy11.77484657697212
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
accuracy21.03367578178254
#s(approx (* l (* l (cos k))) (*.f64 l l))
accuracy4.029918423217158
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 (*.f64 k k) l)) t)
accuracy6.386447314821915
(/.f64 (*.f64 k k) l)
accuracy6.540602087589816
(/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k))
accuracy17.379483103002382
#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) l) (*.f64 k k)) (/.f64 (*.f64 k k) l)) t))
accuracy2.9488192990740094
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k))))
accuracy5.331325734462273
(/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t k))
accuracy6.975195868831816
(/.f64 l (*.f64 k (*.f64 k k)))
accuracy17.379483103002382
#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) l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k)))))
accuracy3.7163874670494392
(*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
accuracy3.812943526249325
(/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
accuracy4.661013620568597
(*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))
accuracy17.379483103002382
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
accuracy0.20541000976844204
(*.f64 (sin.f64 k) (tan.f64 k))
accuracy1.0008363020906514
(*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k)))
accuracy1.1472124333637104
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k))))
accuracy5.315413567495221
(/.f64 l (*.f64 t k))
Samples
65.0ms151×0valid
40.0ms45×2valid
26.0ms31×3valid
21.0ms29×1valid
Compiler

Compiled 379 to 51 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-mult: 36.0ms (32.4% of total)
ival-div: 23.0ms (20.7% of total)
adjust: 14.0ms (12.6% of total)
ival-cos: 8.0ms (7.2% of total)
ival-sin: 8.0ms (7.2% of total)
ival-pow2: 7.0ms (6.3% of total)
ival-tan: 5.0ms (4.5% of total)
ival-pow: 3.0ms (2.7% of total)
ival-add: 3.0ms (2.7% of total)
ival-sub: 2.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series99.0ms (0.6%)

Memory
-58.1MiB live, 94.2MiB allocated
Counts
28 → 768
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (patch (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) #<representation binary64>) () ())
#s(alt (/.f64 l (*.f64 t k)) (patch (/.f64 l (*.f64 t k)) #<representation binary64>) () ())
#s(alt (*.f64 t k) (patch (*.f64 t k) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))) (patch (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))) #<representation binary64>) () ())
#s(alt #s(approx (* 2 l) (+.f64 l l)) (patch #s(approx (* 2 l) (+.f64 l l)) #<representation binary64>) () ())
#s(alt (+.f64 l l) (patch (+.f64 l l) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k)))) (patch (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) l) (patch (*.f64 #s(literal 2 binary64) l) #<representation binary64>) () ())
#s(alt #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) l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k))))) (patch #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) l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t k)) (patch (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t k)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 (*.f64 k k) l)) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 (*.f64 k k) l)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 (*.f64 k k) l)) t) (patch (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 (*.f64 k k) l)) t) #<representation binary64>) () ())
#s(alt #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) l) (*.f64 k k)) (/.f64 (*.f64 k k) l)) t)) (patch #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) l) (*.f64 k k)) (/.f64 (*.f64 k k) l)) t)) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))) (patch (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (patch (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) #<representation binary64>) () ())
#s(alt #s(approx (* l (* l (cos k))) (*.f64 l l)) (patch #s(approx (* l (* l (cos k))) (*.f64 l l)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k))) (patch (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 k) (tan.f64 k)) (patch (*.f64 (sin.f64 k) (tan.f64 k)) #<representation binary64>) () ())
#s(alt (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) (patch (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))) #<representation binary64>) () ())
#s(alt (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) (patch (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) #<representation binary64>) () ())
#s(alt (/.f64 l (*.f64 k (*.f64 k k))) (patch (/.f64 l (*.f64 k (*.f64 k k))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (patch (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 k k) l) (patch (/.f64 (*.f64 k k) l) #<representation binary64>) () ())
#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())
#s(alt (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 l) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 l) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 l) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow k 2) t) (taylor 0 k) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
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#s(alt (* (pow k 2) t) (taylor -inf k) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor -inf k) (#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (pow k 2) (taylor 0 k) (#s(alt (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3)))) (taylor 0 k) (#s(alt (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (pow (sin k) 2) (taylor inf k) (#s(alt (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (sin k) 2) (taylor inf k) (#s(alt (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (sin k) 2) (taylor inf k) (#s(alt (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (sin k) 2) (taylor inf k) (#s(alt (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (sin k) 2) (taylor -inf k) (#s(alt (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (sin k) 2) (taylor -inf k) (#s(alt (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (sin k) 2) (taylor -inf k) (#s(alt (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (sin k) 2) (taylor -inf k) (#s(alt (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

192 calls:

TimeVariablePointExpression
51.0ms
l
@-inf
(/ (/ (* 2 l) (* k k)) (/ (* k k) l))
1.0ms
l
@0
(/ l (* k (* k k)))
1.0ms
l
@0
(* 2 (/ l (* t k)))
1.0ms
k
@-inf
(* (/ k l) (* (sin k) (tan k)))
1.0ms
l
@0
(* (/ k l) (* (sin k) (tan k)))

simplify277.0ms (1.7%)

Memory
56.6MiB live, 399.3MiB allocated
Algorithm
egg-herbie
Rules
11 658×lower-fma.f64
11 658×lower-fma.f32
6 278×lower-*.f64
6 278×lower-*.f32
4 282×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01998589
16248537
224018358
367148358
080938289
Stop Event
iter limit
node limit
Counts
768 → 768
Calls
Call 1
Inputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
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(pow k 2)
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(/ (pow (sin k) 2) (cos k))
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(pow (sin k) 2)
(pow (sin k) 2)
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Outputs
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(*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) #s(literal 173/5040 binary64) #s(literal 31/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ (pow (sin k) 2) (cos k))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(/ (pow (sin k) 2) (cos k))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(/ (pow (sin k) 2) (cos k))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(/ (pow (sin k) 2) (cos k))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(/ (pow (sin k) 2) (cos k))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(/ (pow (sin k) 2) (cos k))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(/ (pow (sin k) 2) (cos k))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(/ (pow (sin k) 2) (cos k))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(* (pow k 4) t)
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(/ l (pow k 3))
(/.f64 l (*.f64 k (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(* 2 (/ l (pow k 2)))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(* (pow k 2) t)
(*.f64 k (*.f64 k t))
(pow k 2)
(*.f64 k k)
(* (pow k 2) (+ 1 (* -1/3 (pow k 2))))
(*.f64 k (*.f64 k (fma.f64 k (*.f64 k #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))
(*.f64 k (*.f64 k (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))
(*.f64 k (*.f64 k (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))

rewrite368.0ms (2.3%)

Memory
-16.5MiB live, 506.6MiB allocated
Rules
6 830×lower-/.f32
6 808×lower-/.f64
3 364×lower-*.f32
3 334×lower-*.f64
1 872×frac-2neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059397
089379
1324351
22541347
08182347
Stop Event
iter limit
node limit
iter limit
Counts
28 → 1 397
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k))))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k)))
(/.f64 l (*.f64 t k))
(*.f64 t k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
(*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (* 2 l) (+.f64 l l))
(+.f64 l l)
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t k)) (/.f64 l (*.f64 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 #s(literal 2 binary64) l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k)))))
(/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t k))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 (*.f64 k k) l))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 (*.f64 k k) l)) t)
#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) l) (*.f64 k k)) (/.f64 (*.f64 k k) l)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))))
(*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l)))
#s(approx (* l (* l (cos k))) (*.f64 l l))
(*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k)))
(*.f64 (sin.f64 k) (tan.f64 k))
(*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))
(/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
(/.f64 l (*.f64 k (*.f64 k k)))
(/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k k))
(/.f64 (*.f64 k k) l)
(*.f64 t (*.f64 k k))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k)) l) (*.f64 (*.f64 t k) (+.f64 l l)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k)) l)) (/.f64 (/.f64 l (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k))) (*.f64 (*.f64 t k) (+.f64 l l))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k)) (neg.f64 l))) (/.f64 (/.f64 l (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k))) (*.f64 (*.f64 t k) (+.f64 l l))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k)) (neg.f64 l)))) (/.f64 (/.f64 l (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k))) (*.f64 (*.f64 t k) (+.f64 l l))))
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(pow.f64 (neg.f64 (*.f64 (*.f64 k k) (+.f64 l l))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 k k)))
(*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 l (*.f64 k k))))
(*.f64 l (/.f64 #s(literal 2 binary64) (*.f64 k k)))
(*.f64 l (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 k k))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 l l) (*.f64 k k)))
(*.f64 (+.f64 l l) (/.f64 #s(literal 1 binary64) (*.f64 k k)))
(*.f64 (+.f64 l l) (/.f64 #s(literal 1 binary64) (*.f64 k (neg.f64 k))))
(*.f64 (+.f64 l l) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 k k))))
(*.f64 #s(literal -2 binary64) (/.f64 l (*.f64 k k)))
(*.f64 (/.f64 l k) (/.f64 #s(literal 2 binary64) k))
(*.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 l k))
(*.f64 (/.f64 #s(literal 2 binary64) k) (neg.f64 (/.f64 l k)))
(*.f64 (/.f64 l (*.f64 k k)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 k k)) (+.f64 l l))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 l l) (*.f64 k k)))
(*.f64 (/.f64 (+.f64 l l) k) (/.f64 #s(literal 1 binary64) k))
(*.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 (+.f64 l l) k))
(*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) k)) (/.f64 l k))
(*.f64 (pow.f64 (/.f64 (*.f64 k k) (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 l l #s(literal 0 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 k k) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 l (*.f64 k k))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 l)) (/.f64 (*.f64 k k) (neg.f64 l)))
(neg.f64 (/.f64 (*.f64 k k) (neg.f64 l)))
(/.f64 k (/.f64 l k))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 k k)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 l (*.f64 k k)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l k) (*.f64 k #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (*.f64 k k) #s(literal 1 binary64))))
(/.f64 (*.f64 k k) l)
(/.f64 (/.f64 (*.f64 k k) l) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 k k) (neg.f64 l)) #s(literal -1 binary64))
(/.f64 (neg.f64 k) (neg.f64 (/.f64 l k)))
(/.f64 (*.f64 k (neg.f64 k)) (neg.f64 l))
(/.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 #s(literal 1 binary64) (*.f64 k k)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 k k))))
(/.f64 (*.f64 k #s(literal 1 binary64)) (/.f64 l k))
(/.f64 (neg.f64 (*.f64 k (neg.f64 k))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) l)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 k k))))
(/.f64 (*.f64 (*.f64 k k) #s(literal 1 binary64)) l)
(/.f64 (neg.f64 (*.f64 k #s(literal 1 binary64))) (neg.f64 (/.f64 l k)))
(/.f64 (neg.f64 (neg.f64 (*.f64 k (neg.f64 k)))) (neg.f64 (neg.f64 (neg.f64 l))))
(/.f64 (neg.f64 (*.f64 (*.f64 k k) #s(literal 1 binary64))) (neg.f64 l))
(pow.f64 (/.f64 (*.f64 k k) l) #s(literal 1 binary64))
(pow.f64 (/.f64 l (*.f64 k k)) #s(literal -1 binary64))
(*.f64 k (/.f64 k l))
(*.f64 (/.f64 k l) k)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) l))
(*.f64 (*.f64 k k) (/.f64 #s(literal 1 binary64) l))
(*.f64 (*.f64 k (neg.f64 k)) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 k k))
(*.f64 (/.f64 #s(literal 1 binary64) l) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 k k)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 k k)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) l))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 k (neg.f64 k))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(*.f64 t (*.f64 k k))
(*.f64 k (*.f64 t k))
(*.f64 (*.f64 t k) k)
(*.f64 (*.f64 k k) t)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 k))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 k))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (sin.f64 k)) (log.f64 (sin.f64 k))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
(-.f64 (/.f64 (cos.f64 (-.f64 k k)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 k k)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 k k)) (cos.f64 (+.f64 k k)))))
(/.f64 (-.f64 (cos.f64 (-.f64 k k)) (cos.f64 (+.f64 k k))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 k k)) (cos.f64 (+.f64 k k)))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 k)))
(*.f64 (sin.f64 k) (sin.f64 k))

eval270.0ms (1.7%)

Memory
-7.0MiB live, 464.9MiB allocated
Compiler

Compiled 44 066 to 2 969 computations (93.3% saved)

prune709.0ms (4.4%)

Memory
43.5MiB live, 471.0MiB allocated
Pruning

72 alts after pruning (70 fresh and 2 done)

PrunedKeptTotal
New2 184552 239
Fresh271542
Picked325
Done101
Total2 215722 287
Accuracy
100.0%
Counts
2 287 → 72
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.0%
(/.f64 (/.f64 (*.f64 (/.f64 l (*.f64 t k)) (/.f64 (+.f64 l l) k)) (tan.f64 k)) (sin.f64 k))
91.9%
(/.f64 (+.f64 l l) (*.f64 (/.f64 (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k)) l) (*.f64 t k)))
89.5%
(/.f64 (*.f64 (/.f64 (+.f64 l l) t) (/.f64 l (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k)))) k)
90.2%
(/.f64 (*.f64 (+.f64 l l) (/.f64 l (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k)))) (*.f64 t k))
78.5%
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k)))) (*.f64 (sin.f64 k) (tan.f64 k)))
96.0%
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (*.f64 (/.f64 k l) (tan.f64 k)) (sin.f64 k)))
94.3%
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 t k) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k)))) l))
69.1%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) #s(approx (* (sin k) (tan k)) (*.f64 k k))))
81.8%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 t k) (/.f64 k (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k))))
57.0%
(/.f64 #s(literal 2 binary64) #s(approx (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))))))
57.8%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(approx (* (* (* k k) (* k k)) (+ (* (/ (* t (* k k)) (* l l)) (+ (* (* k k) 31/360) 1/6)) (/ t (* l l)))) (/.f64 (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 k (*.f64 k (*.f64 t (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))) t)) (*.f64 l l)))))
91.9%
(*.f64 (/.f64 (/.f64 (+.f64 l l) (*.f64 t k)) (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k))) l)
98.5%
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (*.f64 k (sin.f64 k)) l)) (/.f64 (/.f64 l k) (tan.f64 k)))
92.9%
(*.f64 (/.f64 (+.f64 l l) (*.f64 t k)) (/.f64 l (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k))))
94.8%
(*.f64 (/.f64 (+.f64 l l) k) (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 t k))))
91.9%
(*.f64 (+.f64 l l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t k)) (/.f64 l (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k)))))
40.4%
#s(approx (/ (* 2 (/ l (* t k))) (* (/ k l) (* (sin k) (tan k)))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 k (*.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
58.5%
#s(approx (/ 2 (* (* (/ (* t k) l) (/ k l)) (* (sin k) (tan k)))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
14.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (/.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (neg.f64 (fma.f64 l l #s(literal 0 binary64)))) (*.f64 k k)) (/.f64 (*.f64 k k) l)) t))
69.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (+.f64 l l) k) (*.f64 (/.f64 (*.f64 k k) l) k)) t))
63.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t k)) (*.f64 k k)) k))
58.9%
#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) #s(approx (* l (* l (cos k))) (*.f64 l l))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.f64 t k)) k))
55.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 l (*.f64 k k)) (*.f64 (*.f64 k k) (+.f64 l l))) t))
30.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 t k)) (neg.f64 (/.f64 (*.f64 k (*.f64 k k)) l))))
30.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (*.f64 t (/.f64 (*.f64 k k) (neg.f64 l)))))
30.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (neg.f64 (/.f64 (*.f64 t (*.f64 k k)) l))))
71.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (neg.f64 (*.f64 t (/.f64 (*.f64 k k) (neg.f64 l))))))
70.3%
#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 t (*.f64 k k)) l) k)))
28.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (*.f64 (/.f64 (*.f64 k (*.f64 k (*.f64 k k))) l) (fma.f64 l l #s(literal 0 binary64)))) t))
30.6%
#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 #s(literal 1 binary64) (*.f64 k (neg.f64 k)))) (/.f64 (*.f64 k k) l)) t))
63.3%
#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 l l)) (*.f64 t (*.f64 k k))) (*.f64 k k)))
58.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (*.f64 k k)))
30.6%
#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 (/.f64 (*.f64 k k) l) (*.f64 k (neg.f64 k))) (+.f64 l l))) t))
30.6%
#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 t (*.f64 k k)) l) (*.f64 k (neg.f64 k)))))
69.9%
#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 t (*.f64 k k)) l) (*.f64 k k))))
59.6%
#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) l) (*.f64 k (*.f64 k (*.f64 k k)))))
66.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l k) (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 t k))))
31.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l k) (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (neg.f64 t)))))
52.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l k) #s(literal 1 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 t k) (+.f64 l l)))))
58.4%
#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) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 t (*.f64 k k))))
29.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 k (neg.f64 t)))))
52.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l #s(literal 1 binary64)) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 (*.f64 t k) (+.f64 l l)))))
75.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (*.f64 t k) (*.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
63.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
58.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))))
65.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 t k) (/.f64 (*.f64 k (*.f64 k k)) l))))
58.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* 2 (* l l)) (* k (* k (* k k)))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k k)))) t))
55.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 k k) l) (*.f64 (*.f64 k k) (+.f64 l l))) (/.f64 #s(literal 1 binary64) t))))
52.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 t k) (+.f64 l l)) (*.f64 k k)) (*.f64 #s(literal 1 binary64) (/.f64 l k)))))
30.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (/.f64 (*.f64 k k) (neg.f64 l))) (/.f64 (+.f64 l l) (*.f64 k k)))))
58.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 k k)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #s(approx (* l (* l (cos k))) (*.f64 l l))))))
31.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (+.f64 l l) t) (neg.f64 k)) (/.f64 l (*.f64 k (*.f64 k k)))))
66.6%
#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 l (*.f64 k (*.f64 k k)))))
30.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k (neg.f64 t))) (/.f64 l (*.f64 k (*.f64 k k)))))
71.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (/.f64 (/.f64 l (*.f64 k k)) t)))
66.0%
#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 (/.f64 l (*.f64 k (*.f64 k k))) k)))
78.5%
#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) l) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 k k))))
70.3%
#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) l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
58.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* l (* l (cos k))) (*.f64 l l)) (*.f64 t (*.f64 k k))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
62.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 l l) (*.f64 k k))))
59.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t k)) (/.f64 (*.f64 l l) (*.f64 k (*.f64 k k)))))
69.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (/.f64 l (*.f64 k k)) (/.f64 (*.f64 k k) l))))
29.0%
#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 (*.f64 t k) (fma.f64 l l #s(literal 0 binary64))) (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)))) (/.f64 l (*.f64 k (*.f64 k k)))))
58.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* l (* l (cos k))) (*.f64 l l)) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k))))))
28.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (/.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (fma.f64 l l #s(literal 0 binary64)))) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
68.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 (/.f64 (/.f64 l t) (*.f64 k k)) (*.f64 k k))))
67.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
65.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k))))
67.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k)))))
65.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
63.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
63.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
Compiler

Compiled 4 321 to 1 361 computations (68.5% saved)

regimes323.0ms (2%)

Memory
-13.0MiB live, 315.9MiB allocated
Counts
143 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l 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 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
#s(approx (/ 2 (* (* (/ (* t k) l) (/ k l)) (* (sin k) (tan k)))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l 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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 t (*.f64 k k)) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 k (neg.f64 t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l #s(literal 1 binary64)) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 (*.f64 t k) (+.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* 2 (* l l)) (* k (* k (* k k)))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k k)))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l k) (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 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) t) l) (*.f64 k (*.f64 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 l) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) l) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t k)) (/.f64 (*.f64 l l) (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 l l) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 l 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) l) (*.f64 t k)) (/.f64 l (*.f64 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) l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k (neg.f64 t))) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 t k) (/.f64 (*.f64 k (*.f64 k k)) 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) t) (*.f64 l l)) (*.f64 k (*.f64 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 k) (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (neg.f64 t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l t) (*.f64 #s(literal 2 binary64) l)) (*.f64 k (*.f64 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 l) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) l) (*.f64 k (neg.f64 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 l l)) (*.f64 k (*.f64 k (*.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l k) #s(literal 1 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 t k) (+.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 l) (+.f64 l l)) (/.f64 (/.f64 (/.f64 l 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 l l) t) (/.f64 (/.f64 l (*.f64 k (*.f64 k k))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (/.f64 (/.f64 l (*.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) k) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) 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 k k)) (*.f64 (*.f64 k k) (+.f64 l l))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t k)) (*.f64 k k)) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l t) (*.f64 #s(literal 2 binary64) l)) (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 (/.f64 l 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 (+.f64 l l) t) (neg.f64 k)) (/.f64 l (*.f64 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 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 l (*.f64 k k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (neg.f64 (/.f64 (*.f64 t (*.f64 k k)) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (*.f64 t (/.f64 (*.f64 k k) (neg.f64 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 t k)) (neg.f64 (/.f64 (*.f64 k (*.f64 k k)) l))))
#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 l l)) t) (*.f64 k k)) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) #s(approx (* (sin k) (tan k)) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (*.f64 t (/.f64 (*.f64 (*.f64 k k) (*.f64 k k)) l))) 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 k k)) (neg.f64 (*.f64 t (/.f64 (*.f64 k k) (neg.f64 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 (*.f64 k k) l) 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) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 k (*.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ (* 2 (/ l (* t k))) (* (/ k l) (* (sin k) (tan k)))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 k (*.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (/.f64 l (*.f64 k k)) (/.f64 (*.f64 k k) l))))
#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) l) (*.f64 k k)) (/.f64 (*.f64 k k) l)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 t k) (+.f64 l l)) (*.f64 k k)) (*.f64 #s(literal 1 binary64) (/.f64 l k)))))
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(*.f64 (/.f64 (+.f64 l l) k) (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 t k))))
(*.f64 (/.f64 (+.f64 l l) (*.f64 t k)) (/.f64 l (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k))))
(*.f64 (/.f64 (/.f64 (+.f64 l l) (*.f64 t k)) (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k))) l)
(/.f64 (*.f64 (+.f64 l l) (/.f64 l (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k)))) (*.f64 t k))
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(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 l l)) t) (*.f64 (sin.f64 k) (tan.f64 k))))
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(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (*.f64 l l)) (*.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 (pow.f64 (/.f64 (*.f64 k (*.f64 k (*.f64 k k))) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 t l) #s(literal -1 binary64))))
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(/.f64 (*.f64 (/.f64 (+.f64 l l) t) (/.f64 l (*.f64 (*.f64 k (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 #s(literal 2 binary64) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (*.f64 t k) (*.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
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(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (/.f64 t l) (*.f64 k k)) l) (*.f64 (sin.f64 k) (tan.f64 k))))
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(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (*.f64 (/.f64 k l) (tan.f64 k)) (sin.f64 k)))
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(/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (/.f64 k t)) (*.f64 #s(literal 3 binary64) (log.f64 t))) (*.f64 (log.f64 l) #s(literal 2 binary64)))) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log.f64 t)) (*.f64 (log.f64 l) #s(literal 2 binary64)))) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Outputs
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (*.f64 k (sin.f64 k)) l)) (/.f64 (/.f64 l k) (tan.f64 k)))
Calls

6 calls:

61.0ms
(*.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)))
59.0ms
l
54.0ms
t
50.0ms
k
39.0ms
(/.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 72 to 50 computations (30.6% saved)

regimes284.0ms (1.8%)

Memory
-26.4MiB live, 341.8MiB allocated
Counts
122 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l 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 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k 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 #s(literal 2 binary64) l) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.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 l l) (*.f64 t k)) (/.f64 l (*.f64 k (*.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 #s(approx (* l (* l (cos k))) (*.f64 l l)) (*.f64 t (*.f64 k k))) (/.f64 #s(literal 2 binary64) (-.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 (pow.f64 (*.f64 t (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 l l)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 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) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 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 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t k)) k) (pow.f64 (/.f64 (*.f64 k k) l) #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 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.f64 t k)) 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 (*.f64 t (*.f64 k k)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #s(approx (* l (* l (cos k))) (*.f64 l l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (pow.f64 (*.f64 (pow.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 l (*.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 #s(approx (* 2 (* l l)) (*.f64 l (+.f64 l l))) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (* l (* l (cos k)))) (*.f64 (*.f64 l l) (-.f64 #s(literal 2 binary64) (*.f64 k k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
(*.f64 (/.f64 (+.f64 l l) k) (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 t k))))
(*.f64 (/.f64 (+.f64 l l) (*.f64 t k)) (/.f64 l (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k))))
(*.f64 (/.f64 (/.f64 (+.f64 l l) (*.f64 t k)) (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k))) l)
(/.f64 (*.f64 (+.f64 l l) (/.f64 l (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k)))) (*.f64 t k))
(/.f64 (+.f64 l l) (*.f64 (/.f64 (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k)) l) (*.f64 t k)))
(*.f64 (/.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 (sin.f64 k) (tan.f64 k))) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 t k) (/.f64 k (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 l l)) t) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (tan.f64 k)) (sin.f64 k)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (sin.f64 k)) (*.f64 l l)) (tan.f64 k)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k)))) (*.f64 (sin.f64 k) (tan.f64 k)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (*.f64 l l)) (*.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 (pow.f64 (/.f64 (*.f64 k (*.f64 k (*.f64 k k))) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 t l) #s(literal -1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64))))
(*.f64 (+.f64 l l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t k)) (/.f64 l (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k)))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 t (neg.f64 k)) (neg.f64 k)) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 (*.f64 (/.f64 (+.f64 l l) t) (/.f64 l (*.f64 (*.f64 k (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 #s(literal 2 binary64) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (*.f64 t k) (*.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k (/.f64 t l)) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (/.f64 t l) (*.f64 k k)) l) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 t k) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k)))) l))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (*.f64 (/.f64 k l) (tan.f64 k)) (sin.f64 k)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 (/.f64 (*.f64 (/.f64 l (*.f64 t k)) (/.f64 (+.f64 l l) k)) (tan.f64 k)) (sin.f64 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) l) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 l (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) l) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 k k))))
Outputs
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (*.f64 (/.f64 k l) (tan.f64 k)) (sin.f64 k)))
Calls

6 calls:

74.0ms
(/.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))))
63.0ms
l
46.0ms
t
34.0ms
k
31.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
96.0%1t
96.0%1l
96.0%1k
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)))
96.0%1(*.f64 l l)
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes380.0ms (2.4%)

Memory
34.2MiB live, 419.4MiB allocated
Counts
117 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l 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 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
#s(approx (/ 2 (* (* (/ (* t k) l) (/ k l)) (* (sin k) (tan k)))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l 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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 t (*.f64 k k)) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 k (neg.f64 t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l #s(literal 1 binary64)) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 (*.f64 t k) (+.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* 2 (* l l)) (* k (* k (* k k)))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k k)))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l k) (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 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) t) l) (*.f64 k (*.f64 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 l) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) l) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t k)) (/.f64 (*.f64 l l) (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 l l) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 l 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) l) (*.f64 t k)) (/.f64 l (*.f64 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) l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k (neg.f64 t))) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 t k) (/.f64 (*.f64 k (*.f64 k k)) 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) t) (*.f64 l l)) (*.f64 k (*.f64 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 k) (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (neg.f64 t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l t) (*.f64 #s(literal 2 binary64) l)) (*.f64 k (*.f64 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 l) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) l) (*.f64 k (neg.f64 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 l l)) (*.f64 k (*.f64 k (*.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 k k))) (*.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 l k) #s(literal 1 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 t k) (+.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 l) (+.f64 l l)) (/.f64 (/.f64 (/.f64 l 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 l l) t) (/.f64 (/.f64 l (*.f64 k (*.f64 k k))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (/.f64 (/.f64 l (*.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) k) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) 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 k k)) (*.f64 (*.f64 k k) (+.f64 l l))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t k)) (*.f64 k k)) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l t) (*.f64 #s(literal 2 binary64) l)) (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 (/.f64 l 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 (+.f64 l l) t) (neg.f64 k)) (/.f64 l (*.f64 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 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 l (*.f64 k k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (neg.f64 (/.f64 (*.f64 t (*.f64 k k)) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (*.f64 t (/.f64 (*.f64 k k) (neg.f64 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 t k)) (neg.f64 (/.f64 (*.f64 k (*.f64 k k)) l))))
#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 l l)) t) (*.f64 k k)) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) #s(approx (* (sin k) (tan k)) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (*.f64 t (/.f64 (*.f64 (*.f64 k k) (*.f64 k k)) l))) 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 k k)) (neg.f64 (*.f64 t (/.f64 (*.f64 k k) (neg.f64 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 (*.f64 k k) l) 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) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 k (*.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ (* 2 (/ l (* t k))) (* (/ k l) (* (sin k) (tan k)))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 k (*.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (/.f64 l (*.f64 k k)) (/.f64 (*.f64 k k) l))))
#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) l) (*.f64 k k)) (/.f64 (*.f64 k k) l)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 t k) (+.f64 l l)) (*.f64 k k)) (*.f64 #s(literal 1 binary64) (/.f64 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 k k) (*.f64 k k)) (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 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(literal 1 binary64) (/.f64 (*.f64 t (/.f64 (*.f64 k k) (neg.f64 l))) (/.f64 (+.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 k k) l) (*.f64 k (neg.f64 k))) (+.f64 l l))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 l l) (/.f64 #s(literal 1 binary64) (*.f64 k (neg.f64 k)))) (/.f64 (*.f64 k k) l)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (/.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (fma.f64 l l #s(literal 0 binary64)))) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k 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 (*.f64 (/.f64 (*.f64 k k) l) (*.f64 (*.f64 k k) (+.f64 l l))) (/.f64 #s(literal 1 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (*.f64 (/.f64 (*.f64 k (*.f64 k (*.f64 k k))) l) (fma.f64 l l #s(literal 0 binary64)))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(approx (* (* (* k k) (* k k)) (+ (* (/ (* t (* k k)) (* l l)) (+ (* (* k k) 31/360) 1/6)) (/ t (* l l)))) (/.f64 (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 k (*.f64 k (*.f64 t (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))) t)) (*.f64 l l)))))
#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 (*.f64 t k) (fma.f64 l l #s(literal 0 binary64))) (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)))) (/.f64 l (*.f64 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 (/.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (neg.f64 (fma.f64 l l #s(literal 0 binary64)))) (*.f64 k k)) (/.f64 (*.f64 k 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 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 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 (pow.f64 (*.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) (*.f64 k k)) #s(literal -1 binary64)) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* l (* l (cos k))) (*.f64 l l)) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k k))) (pow.f64 (/.f64 (*.f64 k k) (*.f64 #s(literal 2 binary64) (*.f64 l l))) #s(literal -1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* l (* l (cos k))) (*.f64 l l)) (*.f64 t (*.f64 k k))) (/.f64 #s(literal 2 binary64) (-.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 (pow.f64 (*.f64 t (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 l l)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 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) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 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 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t k)) k) (pow.f64 (/.f64 (*.f64 k k) l) #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 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.f64 t k)) 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 (*.f64 t (*.f64 k k)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #s(approx (* l (* l (cos k))) (*.f64 l l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (pow.f64 (*.f64 (pow.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 l (*.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 #s(approx (* 2 (* l l)) (*.f64 l (+.f64 l l))) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (* l (* l (cos k)))) (*.f64 (*.f64 l l) (-.f64 #s(literal 2 binary64) (*.f64 k k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
(*.f64 (/.f64 (+.f64 l l) k) (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 t k))))
(*.f64 (/.f64 (+.f64 l l) (*.f64 t k)) (/.f64 l (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k))))
(*.f64 (/.f64 (/.f64 (+.f64 l l) (*.f64 t k)) (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k))) l)
(/.f64 (*.f64 (+.f64 l l) (/.f64 l (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k)))) (*.f64 t k))
(/.f64 (+.f64 l l) (*.f64 (/.f64 (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k)) l) (*.f64 t k)))
(*.f64 (/.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k))) (*.f64 (sin.f64 k) (tan.f64 k))) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 t k) (/.f64 k (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 k k) (*.f64 l l)) t) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (tan.f64 k)) (sin.f64 k)))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 t (*.f64 k k)) (sin.f64 k)) (*.f64 l l)) (tan.f64 k)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) (*.f64 t (*.f64 k k)))) (*.f64 (sin.f64 k) (tan.f64 k)))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (*.f64 l l)) (*.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 (pow.f64 (/.f64 (*.f64 k (*.f64 k (*.f64 k k))) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 t l) #s(literal -1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64))))
(*.f64 (+.f64 l l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t k)) (/.f64 l (*.f64 (*.f64 k (sin.f64 k)) (tan.f64 k)))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 t (neg.f64 k)) (neg.f64 k)) (*.f64 l l)) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 (*.f64 (/.f64 (+.f64 l l) t) (/.f64 l (*.f64 (*.f64 k (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 #s(literal 2 binary64) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (*.f64 t k) (*.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 k (/.f64 t l)) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (/.f64 t l) (*.f64 k k)) l) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 t k) (*.f64 (/.f64 k l) (*.f64 (sin.f64 k) (tan.f64 k)))) l))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (neg.f64 (*.f64 t (/.f64 (*.f64 k k) (neg.f64 l))))))
(*.f64 (/.f64 (+.f64 l l) k) (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 t k))))
Calls

6 calls:

92.0ms
(*.f64 l l)
71.0ms
k
63.0ms
l
57.0ms
t
52.0ms
(/.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
94.8%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))))
94.8%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)))
94.8%1t
97.1%2(*.f64 l l)
97.1%2l
97.1%2k
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes193.0ms (1.2%)

Memory
-21.3MiB live, 275.9MiB allocated
Counts
94 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.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) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 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 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t k)) k) (pow.f64 (/.f64 (*.f64 k k) l) #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 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.f64 t k)) 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 (*.f64 t (*.f64 k k)) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #s(approx (* l (* l (cos k))) (*.f64 l l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (pow.f64 (*.f64 (pow.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 l (*.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 #s(approx (* 2 (* l l)) (*.f64 l (+.f64 l l))) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (exp.f64 (*.f64 (log.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 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (* l (* l (cos k)))) (*.f64 (*.f64 l l) (-.f64 #s(literal 2 binary64) (*.f64 k k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (neg.f64 (*.f64 t (/.f64 (*.f64 k k) (neg.f64 l))))))
#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) #s(approx (* l (* l (cos k))) (*.f64 l l))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.f64 t k)) k))
Calls

6 calls:

32.0ms
(*.f64 l l)
28.0ms
k
27.0ms
l
26.0ms
t
25.0ms
(*.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
71.6%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))))
71.6%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)))
71.6%1t
71.6%1(*.f64 l l)
71.6%1l
73.5%2k
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes51.0ms (0.3%)

Memory
-9.4MiB live, 68.3MiB allocated
Counts
86 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l 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 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
#s(approx (/ 2 (* (* (/ (* t k) l) (/ k l)) (* (sin k) (tan k)))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l 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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 t (*.f64 k k)) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 k (neg.f64 t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l #s(literal 1 binary64)) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 (*.f64 t k) (+.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* 2 (* l l)) (* k (* k (* k k)))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k k)))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l k) (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 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) t) l) (*.f64 k (*.f64 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 l) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) l) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t k)) (/.f64 (*.f64 l l) (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 l l) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 l 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) l) (*.f64 t k)) (/.f64 l (*.f64 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) l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k (neg.f64 t))) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 t k) (/.f64 (*.f64 k (*.f64 k k)) 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) t) (*.f64 l l)) (*.f64 k (*.f64 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 k) (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (neg.f64 t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l t) (*.f64 #s(literal 2 binary64) l)) (*.f64 k (*.f64 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 l) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) l) (*.f64 k (neg.f64 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 l l)) (*.f64 k (*.f64 k (*.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l k) #s(literal 1 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 t k) (+.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 l) (+.f64 l l)) (/.f64 (/.f64 (/.f64 l 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 l l) t) (/.f64 (/.f64 l (*.f64 k (*.f64 k k))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (/.f64 (/.f64 l (*.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) k) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) 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 k k)) (*.f64 (*.f64 k k) (+.f64 l l))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t k)) (*.f64 k k)) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l t) (*.f64 #s(literal 2 binary64) l)) (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 (/.f64 l 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 (+.f64 l l) t) (neg.f64 k)) (/.f64 l (*.f64 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 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 l (*.f64 k k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (neg.f64 (/.f64 (*.f64 t (*.f64 k k)) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (*.f64 t (/.f64 (*.f64 k k) (neg.f64 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 t k)) (neg.f64 (/.f64 (*.f64 k (*.f64 k k)) l))))
#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 l l)) t) (*.f64 k k)) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) #s(approx (* (sin k) (tan k)) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (*.f64 t (/.f64 (*.f64 (*.f64 k k) (*.f64 k k)) l))) 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 k k)) (neg.f64 (*.f64 t (/.f64 (*.f64 k k) (neg.f64 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 (*.f64 k k) l) 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) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 k (*.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ (* 2 (/ l (* t k))) (* (/ k l) (* (sin k) (tan k)))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 k (*.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (/.f64 l (*.f64 k k)) (/.f64 (*.f64 k k) l))))
#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) l) (*.f64 k k)) (/.f64 (*.f64 k k) l)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 t k) (+.f64 l l)) (*.f64 k k)) (*.f64 #s(literal 1 binary64) (/.f64 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 k k) (*.f64 k k)) (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t (*.f64 l l))))))
(/.f64 #s(literal 2 binary64) #s(approx (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (*.f64 (fma.f64 (*.f64 k k) #s(literal 1/6 binary64) #s(literal 1 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(literal 1 binary64) (/.f64 (*.f64 t (/.f64 (*.f64 k k) (neg.f64 l))) (/.f64 (+.f64 l l) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 k k) l) (*.f64 k (neg.f64 k))) (+.f64 l l))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (+.f64 l l) (/.f64 #s(literal 1 binary64) (*.f64 k (neg.f64 k)))) (/.f64 (*.f64 k k) l)) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (/.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (fma.f64 l l #s(literal 0 binary64)))) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k 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 (*.f64 (/.f64 (*.f64 k k) l) (*.f64 (*.f64 k k) (+.f64 l l))) (/.f64 #s(literal 1 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (*.f64 (/.f64 (*.f64 k (*.f64 k (*.f64 k k))) l) (fma.f64 l l #s(literal 0 binary64)))) t))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(approx (* (* (* k k) (* k k)) (+ (* (/ (* t (* k k)) (* l l)) (+ (* (* k k) 31/360) 1/6)) (/ t (* l l)))) (/.f64 (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 k (*.f64 k (*.f64 t (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)))) t)) (*.f64 l l)))))
#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 (*.f64 t k) (fma.f64 l l #s(literal 0 binary64))) (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)))) (/.f64 l (*.f64 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 (/.f64 (*.f64 (fma.f64 l l #s(literal 0 binary64)) (+.f64 l l)) (neg.f64 (fma.f64 l l #s(literal 0 binary64)))) (*.f64 k k)) (/.f64 (*.f64 k 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 (*.f64 k k) (*.f64 k k)) (fma.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 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 (pow.f64 (*.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)) (*.f64 k k)) #s(literal -1 binary64)) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* l (* l (cos k))) (*.f64 l l)) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k k))) (pow.f64 (/.f64 (*.f64 k k) (*.f64 #s(literal 2 binary64) (*.f64 l l))) #s(literal -1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* l (* l (cos k))) (*.f64 l l)) (*.f64 t (*.f64 k k))) (/.f64 #s(literal 2 binary64) (-.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 (pow.f64 (*.f64 t (/.f64 k (*.f64 #s(literal 2 binary64) (*.f64 l l)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 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) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 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 #s(literal 2 binary64) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t k)) k) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (neg.f64 (*.f64 t (/.f64 (*.f64 k k) (neg.f64 l))))))
Calls

2 calls:

24.0ms
k
22.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
71.6%1(*.f64 l l)
71.6%1k
Compiler

Compiled 10 to 7 computations (30% saved)

regimes109.0ms (0.7%)

Memory
-12.6MiB live, 105.6MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l 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 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
#s(approx (/ 2 (* (* (/ (* t k) l) (/ k l)) (* (sin k) (tan k)))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l 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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 t (*.f64 k k)) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 k (neg.f64 t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l #s(literal 1 binary64)) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 (*.f64 t k) (+.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* 2 (* l l)) (* k (* k (* k k)))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k k)))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l k) (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 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) t) l) (*.f64 k (*.f64 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 l) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) l) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t k)) (/.f64 (*.f64 l l) (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 l l) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 l 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) l) (*.f64 t k)) (/.f64 l (*.f64 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) l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k (neg.f64 t))) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 t k) (/.f64 (*.f64 k (*.f64 k k)) 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) t) (*.f64 l l)) (*.f64 k (*.f64 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 k) (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (neg.f64 t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l t) (*.f64 #s(literal 2 binary64) l)) (*.f64 k (*.f64 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 l) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) l) (*.f64 k (neg.f64 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 l l)) (*.f64 k (*.f64 k (*.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l k) #s(literal 1 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 t k) (+.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 l) (+.f64 l l)) (/.f64 (/.f64 (/.f64 l 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 l l) t) (/.f64 (/.f64 l (*.f64 k (*.f64 k k))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (/.f64 (/.f64 l (*.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) k) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) 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 k k)) (*.f64 (*.f64 k k) (+.f64 l l))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t k)) (*.f64 k k)) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 l t) (*.f64 #s(literal 2 binary64) l)) (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 (/.f64 l 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 (+.f64 l l) t) (neg.f64 k)) (/.f64 l (*.f64 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 (*.f64 #s(literal 2 binary64) l) (*.f64 k k)) (/.f64 l (*.f64 k k))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (neg.f64 (/.f64 (*.f64 t (*.f64 k k)) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (*.f64 t (/.f64 (*.f64 k k) (neg.f64 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 t k)) (neg.f64 (/.f64 (*.f64 k (*.f64 k k)) l))))
#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 l l)) t) (*.f64 k k)) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 t k) l) (/.f64 k l)) #s(approx (* (sin k) (tan k)) (*.f64 k k))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (*.f64 t (/.f64 (*.f64 (*.f64 k k) (*.f64 k k)) l))) l))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (/.f64 (/.f64 l (*.f64 k k)) t)))
Calls

6 calls:

30.0ms
t
20.0ms
l
15.0ms
k
15.0ms
(*.f64 l l)
12.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
71.6%1t
71.6%1l
71.6%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))))
71.6%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)))
71.6%1k
71.6%1(*.f64 l l)
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes91.0ms (0.6%)

Memory
23.5MiB live, 105.1MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l 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 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
#s(approx (/ 2 (* (* (/ (* t k) l) (/ k l)) (* (sin k) (tan k)))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l 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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 t (*.f64 k k)) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 k (neg.f64 t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l #s(literal 1 binary64)) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 (*.f64 t k) (+.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* 2 (* l l)) (* k (* k (* k k)))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k k)))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l k) (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 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) t) l) (*.f64 k (*.f64 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 l) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) l) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t k)) (/.f64 (*.f64 l l) (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 l l) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 l 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) l) (*.f64 t k)) (/.f64 l (*.f64 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) l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k (neg.f64 t))) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 t k) (/.f64 (*.f64 k (*.f64 k k)) 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) t) (*.f64 l l)) (*.f64 k (*.f64 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 k) (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k (neg.f64 t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l t) (*.f64 #s(literal 2 binary64) l)) (*.f64 k (*.f64 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 l) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) l) (*.f64 k (neg.f64 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 l l)) (*.f64 k (*.f64 k (*.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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 k k))) (*.f64 k k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l k) #s(literal 1 binary64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 t k) (+.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 l) (+.f64 l l)) (/.f64 (/.f64 (/.f64 l 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 l l) t) (/.f64 (/.f64 l (*.f64 k (*.f64 k k))) k)))
Outputs
#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) l) (*.f64 t (*.f64 k k))) (/.f64 l (*.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)))
22.0ms
l
12.0ms
k
12.0ms
t
11.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
70.3%1t
70.3%1l
70.3%1k
70.3%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))))
70.3%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)))
70.3%1(*.f64 l l)
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes65.0ms (0.4%)

Memory
1.4MiB live, 76.3MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l 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 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
#s(approx (/ 2 (* (* (/ (* t k) l) (/ k l)) (* (sin k) (tan k)))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l 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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 t (*.f64 k k)) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 k (neg.f64 t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l #s(literal 1 binary64)) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 (*.f64 t k) (+.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* 2 (* l l)) (* k (* k (* k k)))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k k)))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l k) (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 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) t) l) (*.f64 k (*.f64 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 l) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) l) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t k)) (/.f64 (*.f64 l l) (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 l l) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 l 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) l) (*.f64 t k)) (/.f64 l (*.f64 k (*.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 l) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) l) (*.f64 k k))))
Calls

6 calls:

18.0ms
k
14.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
8.0ms
l
8.0ms
t
8.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
69.9%1t
69.9%1k
69.9%1(*.f64 l l)
69.9%1l
69.9%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
69.9%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes78.0ms (0.5%)

Memory
-10.5MiB live, 73.8MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l 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 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
#s(approx (/ 2 (* (* (/ (* t k) l) (/ k l)) (* (sin k) (tan k)))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l 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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 t (*.f64 k k)) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 k (neg.f64 t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l #s(literal 1 binary64)) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 (*.f64 t k) (+.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* 2 (* l l)) (* k (* k (* k k)))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k k)))) t))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l k) (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 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) t) l) (*.f64 k (*.f64 k (*.f64 k k)))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t k)) (/.f64 l (*.f64 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 k) (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 t k))))
Calls

6 calls:

28.0ms
(/.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))))
24.0ms
k
7.0ms
l
7.0ms
t
6.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
67.3%1t
67.3%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))))
67.3%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)))
69.1%2(*.f64 l l)
69.1%2l
67.3%1k
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes13.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l 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 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
#s(approx (/ 2 (* (* (/ (* t k) l) (/ k l)) (* (sin k) (tan k)))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l 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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 t (*.f64 k k)) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 k (neg.f64 t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l #s(literal 1 binary64)) (*.f64 (*.f64 k (*.f64 k k)) (*.f64 (*.f64 t k) (+.f64 l l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 t k)) (/.f64 l (*.f64 k (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* 2 (* l l)) (* k (* k (* k k)))) (/.f64 (*.f64 l (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 k k)))) t))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
Calls

2 calls:

6.0ms
l
6.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
67.3%1l
67.3%1(*.f64 l l)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes34.0ms (0.2%)

Memory
-15.2MiB live, 23.2MiB 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 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l 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 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t (*.f64 k (*.f64 k k))) k))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t (*.f64 k k)) (*.f64 k k)))))
Calls

6 calls:

22.0ms
k
2.0ms
l
2.0ms
t
2.0ms
(*.f64 l l)
2.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
67.3%1t
67.3%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))))
67.3%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)))
67.3%1k
67.3%1l
67.3%1(*.f64 l l)
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes13.0ms (0.1%)

Memory
-1.0MiB live, 37.0MiB 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 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
Calls

6 calls:

3.0ms
(*.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
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))))
Results
AccuracySegmentsBranch
65.1%1t
65.1%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
65.1%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
65.1%1k
65.1%1l
65.1%1(*.f64 l l)
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes10.0ms (0.1%)

Memory
21.8MiB live, 21.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
Calls

6 calls:

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
l
1.0ms
k
1.0ms
t
1.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
63.7%1t
63.7%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
63.7%1k
63.7%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
63.7%1l
63.7%1(*.f64 l l)
Compiler

Compiled 72 to 50 computations (30.6% saved)

bsearch12.0ms (0.1%)

Memory
-18.5MiB live, 20.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
4.8224320506588266e-21
6.133798760857809e-21
Samples
3.0ms28×0valid
3.0ms2valid
1.0ms1valid
1.0ms3valid
Compiler

Compiled 160 to 100 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
adjust: 2.0ms (29.2% of total)
ival-div: 1.0ms (14.6% of total)
ival-pow2: 1.0ms (14.6% of total)
ival-pow: 1.0ms (14.6% of total)
ival-mult: 1.0ms (14.6% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-tan: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch34.0ms (0.2%)

Memory
-3.3MiB live, 43.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
11791.390012028172
96223.58309170204
Samples
10.0ms31×2valid
8.0ms49×0valid
7.0ms3valid
2.0ms1valid
Compiler

Compiled 319 to 193 computations (39.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sub: 5.0ms (21.9% of total)
ival-div: 3.0ms (13.1% of total)
adjust: 3.0ms (13.1% of total)
ival-tan: 3.0ms (13.1% of total)
ival-mult: 3.0ms (13.1% of total)
ival-sin: 3.0ms (13.1% of total)
ival-pow2: 2.0ms (8.8% of total)
ival-add: 1.0ms (4.4% of total)
ival-pow: 1.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.442632285222415e-169
3.887963863662691e-165
Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify74.0ms (0.5%)

Memory
9.1MiB live, 47.7MiB allocated
Algorithm
egg-herbie
Rules
762×distribute-lft-neg-in_binary64
458×neg-mul-1_binary64
412×unsub-neg_binary64
410×neg-sub0_binary64
354×cancel-sign-sub_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0120642
1170636
2206636
3263636
4374636
5612636
61100636
71594636
81988636
92251636
102341636
112385636
122397636
132402636
142403636
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (*.f64 k (sin.f64 k)) l)) (/.f64 (/.f64 l k) (tan.f64 k)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (*.f64 (/.f64 k l) (tan.f64 k)) (sin.f64 k)))
(if (<=.f64 k #s(literal 7975367974709495/1329227995784915872903807060280344576 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 k k)) (neg.f64 (*.f64 t (/.f64 (*.f64 k k) (neg.f64 l)))))) (*.f64 (/.f64 (+.f64 l l) k) (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 t k)))))
(if (<=.f64 k #s(literal 18500 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 k k)) (neg.f64 (*.f64 t (/.f64 (*.f64 k k) (neg.f64 l)))))) #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) #s(approx (* l (* l (cos k))) (*.f64 l l))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.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 l l) (*.f64 k k)) (neg.f64 (*.f64 t (/.f64 (*.f64 k k) (neg.f64 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 k k)) (/.f64 (/.f64 l (*.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 #s(literal 2 binary64) l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (/.f64 (*.f64 t (*.f64 k k)) l) (*.f64 k k))))
(if (<=.f64 (*.f64 l l) #s(literal 6798566308054619/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192 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 t k)) (/.f64 l (*.f64 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 k) (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 t k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l 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 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
Outputs
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (*.f64 k (sin.f64 k)) l)) (/.f64 (/.f64 l k) (tan.f64 k)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (*.f64 (/.f64 k l) (tan.f64 k)) (sin.f64 k)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k))) (*.f64 (sin.f64 k) (*.f64 (tan.f64 k) (/.f64 k l))))
(if (<=.f64 k #s(literal 7975367974709495/1329227995784915872903807060280344576 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 k k)) (neg.f64 (*.f64 t (/.f64 (*.f64 k k) (neg.f64 l)))))) (*.f64 (/.f64 (+.f64 l l) k) (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 t k)))))
(if (<=.f64 k #s(literal 7975367974709495/1329227995784915872903807060280344576 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 k k)) (*.f64 t (/.f64 (*.f64 k k) l)))) (*.f64 (/.f64 (+.f64 l l) k) (/.f64 l (*.f64 (*.f64 t k) (*.f64 (sin.f64 k) (tan.f64 k))))))
(if (<=.f64 k #s(literal 18500 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 k k)) (neg.f64 (*.f64 t (/.f64 (*.f64 k k) (neg.f64 l)))))) #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) #s(approx (* l (* l (cos k))) (*.f64 l l))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.f64 t k)) k)))
(if (<=.f64 k #s(literal 18500 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 k k)) (*.f64 t (/.f64 (*.f64 k k) l)))) #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) #s(approx (* l (* l (cos k))) (*.f64 l l))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.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 l l) (*.f64 k k)) (neg.f64 (*.f64 t (/.f64 (*.f64 k k) (neg.f64 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 k k)) (*.f64 t (/.f64 (*.f64 k k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (+.f64 l l) (*.f64 k k)) (/.f64 (/.f64 l (*.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 #s(literal 2 binary64) l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 k k)) (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 t (*.f64 k k)))))
#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 t (*.f64 k k)) l) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 l l) (*.f64 (*.f64 k k) (/.f64 (*.f64 t (*.f64 k k)) l))))
(if (<=.f64 (*.f64 l l) #s(literal 6798566308054619/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192 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 t k)) (/.f64 l (*.f64 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 k) (+.f64 l l)) (*.f64 (*.f64 k k) (*.f64 t k)))))
(if (<=.f64 (*.f64 l l) #s(literal 6798566308054619/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192 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 t k)) (/.f64 l (*.f64 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 k) (+.f64 l l)) (*.f64 (*.f64 t k) (*.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 (*.f64 t k) (*.f64 k k)) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 k (*.f64 (*.f64 t k) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l 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 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 k k) (*.f64 t (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l (*.f64 (*.f64 t k) (*.f64 k (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 #s(approx (* 2 l) (+.f64 l l)) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))

soundness1.4s (9%)

Memory
3.0MiB live, 1 361.2MiB allocated
Rules
11 658×lower-fma.f64
11 658×lower-fma.f32
11 610×lower-fma.f64
11 610×lower-fma.f32
10 984×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056374
087344
1301308
22032302
08109302
060480
098440
1382418
23185370
08693370
01138424
13578404
213868268
345448268
457028268
559348268
659558268
759568268
859568268
087038226
024610577
181210521
2312910228
0811810085
059397
089379
1324351
22541347
08182347
01102370
13582366
215282296
349032296
085372278
01982
03278
111774
281070
0890070
01998589
16248537
224018358
367148358
080938289
Stop Event
fuel
iter limit
node 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
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 451 to 725 computations (50% saved)

preprocess268.0ms (1.7%)

Memory
8.9MiB live, 247.0MiB allocated
Remove

(negabs t)

(abs l)

(abs k)

Compiler

Compiled 1 470 to 744 computations (49.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...