Toniolo and Linder, Equation (10-)

Time bar (total: 15.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze690.0ms (4.4%)

Memory
15.0MiB live, 1 381.9MiB 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)

sample2.8s (17.9%)

Memory
-96.3MiB live, 3 495.9MiB allocated
Samples
834.0ms4 356×0valid
496.0ms1 584×2valid
464.0ms1 251×3valid
250.0ms1 058×1valid
2.0ms4valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-mult: 272.0ms (15.9% of total)
ival-div: 257.0ms (15% of total)
adjust: 241.0ms (14.1% of total)
ival-tan: 206.0ms (12.1% of total)
ival-sin: 196.0ms (11.5% of total)
ival-pow: 169.0ms (9.9% of total)
ival-pow2: 152.0ms (8.9% of total)
ival-add: 99.0ms (5.8% of total)
ival-sub: 94.0ms (5.5% of total)
exact: 12.0ms (0.7% of total)
ival-true: 6.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain352.0ms (2.2%)

Memory
-15.8MiB live, 501.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
880-2(2.153772912499483e+30 -6.698300874489501e+202 -4.7999674398142054e+94)(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
750-1(1.2192305494564298e-79 2.7720083885196987e-160 7.071549842430537e+190)(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
520-0-(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
130-0-(*.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 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))cancellation520
*.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*o460
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))underflow86
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))underflow106
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))underflow95
(pow.f64 t #s(literal 3 binary64))underflow90
(*.f64 l l)underflow75
(/.f64 k t)overflow35
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow80
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow80
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow80
*.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*u270
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow77
(*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))overflow56
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow64
(pow.f64 t #s(literal 3 binary64))overflow80
(*.f64 l l)overflow67
(/.f64 k t)underflow33
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))underflow77
(pow.f64 (/.f64 k t) #s(literal 2 binary64))underflow77
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/u250
(pow.f64 t #s(literal 3 binary64))underflow90
(*.f64 l l)underflow75
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))o/o240
(pow.f64 t #s(literal 3 binary64))overflow80
(*.f64 l l)overflow67
*.f64(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))n*o130
*.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))o/n70
(pow.f64 t #s(literal 3 binary64))overflow80
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/o70
(*.f64 l l)overflow67
*.f64(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))n*u70
*.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*o60
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))n/u60
(*.f64 l l)underflow75
/.f64(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))u/n50
(pow.f64 t #s(literal 3 binary64))underflow90
/.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))overflow56
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))overflow64
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))overflow71
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))overflow80
(/.f64 k t)overflow35
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))overflow77
(pow.f64 t #s(literal 3 binary64))overflow80
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))overflow80
(*.f64 l l)overflow67
(pow.f64 (/.f64 k t) #s(literal 2 binary64))overflow80
Confusion
Predicted +Predicted -
+1661
-3554
Precision
0.8258706467661692
Recall
0.9940119760479041
Confusion?
Predicted +Predicted MaybePredicted -
+16601
-35054
Precision?
0.8258706467661692
Recall?
0.9940119760479041
Freqs
test
numberfreq
055
1168
233
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
66.0ms258×0valid
39.0ms116×2valid
31.0ms82×3valid
15.0ms56×1valid
Compiler

Compiled 268 to 61 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-tan: 27.0ms (23.5% of total)
ival-div: 17.0ms (14.8% of total)
adjust: 15.0ms (13.1% of total)
ival-mult: 14.0ms (12.2% of total)
ival-sin: 11.0ms (9.6% of total)
ival-pow2: 9.0ms (7.8% of total)
ival-pow: 9.0ms (7.8% of total)
ival-sub: 6.0ms (5.2% of total)
ival-add: 5.0ms (4.4% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess293.0ms (1.9%)

Memory
14.4MiB live, 440.9MiB 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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.2%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
Compiler

Compiled 28 to 19 computations (32.1% saved)

simplify377.0ms (2.4%)

Memory
-16.9MiB live, 349.2MiB 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)

localize142.0ms (0.9%)

Memory
18.6MiB live, 176.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy3.153752941689636
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k))
accuracy11.971337666741734
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy17.448835624398882
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
accuracy20.798907384872784
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.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
70.0ms129×0valid
28.0ms58×2valid
16.0ms41×3valid
7.0ms28×1valid
Compiler

Compiled 120 to 21 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-tan: 52.0ms (53.1% of total)
ival-sin: 10.0ms (10.2% of total)
adjust: 9.0ms (9.2% of total)
ival-div: 8.0ms (8.2% of total)
ival-mult: 7.0ms (7.1% of total)
ival-pow2: 4.0ms (4.1% of total)
ival-pow: 3.0ms (3.1% of total)
ival-sub: 2.0ms (2% of total)
ival-add: 2.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series53.0ms (0.3%)

Memory
5.5MiB live, 79.6MiB 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>) () ())) ())
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#s(alt (/ (* (pow t 3) (sin k)) (pow l 2)) (taylor -inf k) (#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>) () ())) ())
Calls

48 calls:

TimeVariablePointExpression
9.0ms
t
@0
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))
9.0ms
l
@0
(/ (pow t 3) (* l l))
4.0ms
l
@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))
2.0ms
k
@inf
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))

simplify393.0ms (2.5%)

Memory
12.7MiB live, 436.3MiB 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)))))
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(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
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(/ (* (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))
(/ (* k (pow t 3)) (pow l 2))
(/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l))
(* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(*.f64 k (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))))
(* 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))

rewrite388.0ms (2.5%)

Memory
18.2MiB live, 646.5MiB 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))
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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)))

eval244.0ms (1.6%)

Memory
5.7MiB live, 327.5MiB allocated
Compiler

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

prune312.0ms (2%)

Memory
7.3MiB live, 474.7MiB allocated
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New1 255221 277
Fresh000
Picked101
Done000
Total1 256221 278
Accuracy
82.7%
Counts
1 278 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.0%
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (*.f64 t t) (*.f64 (/.f64 t l) (*.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal -1 binary64)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 l l))))
40.5%
(/.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)))))
41.7%
(/.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))
46.5%
(/.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)))))))
32.7%
(/.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)))
29.1%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 k k) (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 l l)))))
42.0%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 t l) (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))))
48.5%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
41.2%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
50.3%
(/.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))))
31.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l)))
39.4%
(/.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))))
36.9%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 t t) (*.f64 (/.f64 t (*.f64 l l)) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))))))
36.2%
(/.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)))))))
73.7%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))))
62.2%
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (/.f64 t (*.f64 l l)))))
16.8%
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 l l)))) (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 (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)))))
27.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 k k) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -7/60 binary64)) t)) (*.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))))
27.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 k k) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 31/3024 binary64)) (/.f64 (*.f64 (*.f64 l l) #s(literal 7/120 binary64)) t)))) (*.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))))
46.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
73.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.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) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
Compiler

Compiled 1 438 to 750 computations (47.8% saved)

simplify377.0ms (2.4%)

Memory
-33.4MiB live, 461.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 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 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k)))
cost-diff768
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
cost-diff5824
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
cost-diff0
(*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l))
cost-diff0
(*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l))
cost-diff384
(/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l)
cost-diff768
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l)))
cost-diff0
(/.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))))
cost-diff128
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
cost-diff256
(-.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-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
23 792×lower-fma.f64
23 792×lower-fma.f32
8 082×lower-*.f32
8 036×lower-*.f64
2 476×lower-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064620
0106606
1220562
2760532
34141532
47180532
09351532
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) (*.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))))
#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)))
(*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l))) (tan.f64 k))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l)))
(/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l))
(*.f64 t (*.f64 k (*.f64 t t)))
t
(*.f64 k (*.f64 t t))
k
(*.f64 t t)
(*.f64 l l)
l
(tan.f64 k)
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l)))
#s(literal 2 binary64)
(*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l))
(*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l))
(sin.f64 k)
k
(/.f64 (*.f64 t (*.f64 t t)) l)
(*.f64 t (*.f64 t t))
t
(*.f64 t t)
l
(/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l)
(*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))
(tan.f64 k)
(/.f64 (*.f64 k k) (*.f64 t t))
(*.f64 k k)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
(*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k)))
(/.f64 (*.f64 t t) l)
(*.f64 t t)
t
l
(*.f64 (/.f64 t l) (sin.f64 k))
(/.f64 t l)
(sin.f64 k)
k
(tan.f64 k)
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)
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 (*.f64 #s(literal 2 binary64) (*.f64 l (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 (*.f64 #s(literal 2 binary64) (*.f64 l (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 l (*.f64 #s(literal 2 binary64) (*.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)))
(*.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) (*.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))))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k (tan.f64 k)))) (*.f64 t t)) #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 t (*.f64 t k))) (*.f64 l l))))
#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)))
(*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 t (*.f64 t k))) (*.f64 l l))) (/.f64 (*.f64 k (*.f64 k (tan.f64 k))) (*.f64 t t)))
(*.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 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 t (*.f64 t k))) (*.f64 l l))) (tan.f64 k))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l)))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 t (*.f64 t k))) (*.f64 l l)))
(/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l))
(/.f64 (*.f64 t (*.f64 t (*.f64 t k))) (*.f64 l l))
(*.f64 t (*.f64 k (*.f64 t t)))
(*.f64 t (*.f64 t (*.f64 t k)))
t
(*.f64 k (*.f64 t t))
(*.f64 t (*.f64 t k))
k
(*.f64 t t)
(*.f64 l l)
l
(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)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l)))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 t (*.f64 t (*.f64 t (sin.f64 k)))) (*.f64 k (*.f64 k (tan.f64 k))))) l) (*.f64 l (*.f64 t t)))
#s(literal 2 binary64)
(*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l))
(/.f64 (*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (*.f64 k (*.f64 k (tan.f64 k)))) (*.f64 l (*.f64 t t)))
(*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l))
(sin.f64 k)
k
(/.f64 (*.f64 t (*.f64 t t)) l)
(*.f64 t (*.f64 t t))
t
(*.f64 t t)
l
(/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l)
(/.f64 (*.f64 k (*.f64 k (tan.f64 k))) (*.f64 l (*.f64 t t)))
(*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t)))
(/.f64 (*.f64 k (*.f64 k (tan.f64 k))) (*.f64 t t))
(tan.f64 k)
(/.f64 (*.f64 k k) (*.f64 t t))
(*.f64 k k)
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 t (*.f64 t (*.f64 t (sin.f64 k)))) (*.f64 k (*.f64 k (tan.f64 k))))) l) (*.f64 l (*.f64 t t)))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (*.f64 k (*.f64 k (tan.f64 k)))) (*.f64 l (*.f64 t t)))
(*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
(*.f64 (sin.f64 k) (*.f64 (*.f64 (tan.f64 k) t) (/.f64 (*.f64 t t) (*.f64 l l))))
(*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k)))
(/.f64 (*.f64 t (*.f64 t (*.f64 t (sin.f64 k)))) (*.f64 l l))
(/.f64 (*.f64 t t) l)
(*.f64 t (/.f64 t l))
(*.f64 t t)
t
l
(*.f64 (/.f64 t l) (sin.f64 k))
(/.f64 (*.f64 t (sin.f64 k)) l)
(/.f64 t l)
(sin.f64 k)
k
(tan.f64 k)
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (*.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)

localize326.0ms (2.1%)

Memory
39.0MiB live, 632.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.8108859158517676
(*.f64 (/.f64 t l) (sin.f64 k))
accuracy7.501535384523831
(/.f64 (*.f64 t t) l)
accuracy11.971337666741743
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy20.798907384872784
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
accuracy3.6664392461912816
(/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l)
accuracy6.617026316845383
(/.f64 (*.f64 t (*.f64 t t)) l)
accuracy12.918592312607727
(/.f64 (*.f64 k k) (*.f64 t t))
accuracy24.35655557989919
(*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l))
accuracy11.971337666741743
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy17.230008291677812
(/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l))
accuracy19.41487320538932
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l)))
accuracy20.798907384872784
(*.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)))
accuracy0.1328125
(*.f64 (*.f64 k k) (*.f64 k k))
accuracy4.251576571162041
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
accuracy14.142080088592753
#s(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)))))
accuracy14.5851885703243
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
accuracy0.265625
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
accuracy0.33958540492201417
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))
accuracy6.780984524263593
(*.f64 t (*.f64 k k))
accuracy14.540935557711428
(/.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
90.0ms41×3valid
59.0ms129×0valid
56.0ms58×2valid
18.0ms28×1valid
Compiler

Compiled 538 to 53 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-mult: 43.0ms (37.5% of total)
ival-div: 23.0ms (20.1% of total)
adjust: 13.0ms (11.3% of total)
ival-pow2: 8.0ms (7% of total)
ival-sin: 8.0ms (7% of total)
ival-cos: 6.0ms (5.2% of total)
ival-tan: 5.0ms (4.4% of total)
ival-pow: 3.0ms (2.6% of total)
ival-sub: 2.0ms (1.7% of total)
ival-add: 2.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series192.0ms (1.2%)

Memory
0.9MiB live, 157.9MiB allocated
Counts
31 → 888
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 (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 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 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) (patch (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l) (patch (/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l)) (patch (*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l)) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (patch (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (patch (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) #<representation binary64>) () ())
#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<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 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #<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 k k) (*.f64 k k)) (patch (*.f64 (*.f64 k k) (*.f64 k k)) #<representation binary64>) () ())
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l))) (patch #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l)) #<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 t (*.f64 t t)) l) (patch (/.f64 (*.f64 t (*.f64 t t)) l) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 t t) l) (patch (/.f64 (*.f64 t t) l) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 t l) (sin.f64 k)) (patch (*.f64 (/.f64 t l) (sin.f64 k)) #<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>) () ())) ())
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#s(alt (/ (* t (sin k)) l) (taylor -inf k) (#s(alt (*.f64 (/.f64 t l) (sin.f64 k)) (patch (*.f64 (/.f64 t l) (sin.f64 k)) #<representation binary64>) () ())) ())
Calls

222 calls:

TimeVariablePointExpression
97.0ms
t
@0
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))
8.0ms
t
@-inf
(/ (* 2 (* l l)) (* t (* (* k k) (* k k))))
4.0ms
t
@-inf
(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))
2.0ms
t
@inf
(* (/ (pow t 3) (* l l)) (sin k))
2.0ms
k
@inf
(/ (* 2 (* l (* l (cos k)))) (* (pow (sin k) 2) (* t (* k k))))

simplify361.0ms (2.3%)

Memory
7.3MiB live, 438.2MiB allocated
Algorithm
egg-herbie
Rules
13 362×lower-fma.f64
13 362×lower-fma.f32
7 524×lower-*.f64
7 524×lower-*.f32
4 992×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029611371
198811315
2388010982
0830110854
Stop Event
iter limit
node limit
Counts
888 → 888
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)))
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(/ (pow k 2) (pow t 2))
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(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
1
(+ 1 (/ (pow k 2) (pow t 2)))
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(/ (pow k 2) (pow t 2))
(* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))
(* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))
(* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))
(/ (pow k 2) (pow t 2))
(* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))
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(/ (+ (pow k 2) (pow t 2)) (pow t 2))
(/ (+ (pow k 2) (pow t 2)) (pow t 2))
(/ (+ (pow k 2) (pow t 2)) (pow t 2))
1
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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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(/ (* (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) (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))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 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 t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (pow t 3) l)
(/ (* (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 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (pow t 2) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* k t) l)
(* k (+ (* -1/6 (/ (* (pow k 2) t) l)) (/ t l)))
(* k (+ (* (pow k 2) (+ (* -1/6 (/ t l)) (* 1/120 (/ (* (pow k 2) t) l)))) (/ t l)))
(* k (+ (* (pow k 2) (+ (* -1/6 (/ t l)) (* (pow k 2) (+ (* -1/5040 (/ (* (pow k 2) t) l)) (* 1/120 (/ t l)))))) (/ t l)))
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
(/ (* t (sin k)) l)
Outputs
(* 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 (*.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(* 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 (*.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(* 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 (*.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(* 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 (*.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
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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) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (*.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(* 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 (*.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(* 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 (*.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
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(/.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))
(/.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)))
(/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))
(/.f64 (fma.f64 (*.f64 k k) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)) k) k) (*.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)))
(/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))
(/.f64 (fma.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 31/3024 binary64)) (*.f64 (*.f64 k k) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))) (*.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)))
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(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (*.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
(* 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 (*.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))
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(*.f64 k (fma.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 (*.f64 k k) t) l) (fma.f64 #s(literal -1/5040 binary64) (*.f64 k k) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 k k) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 t l))))
(/ (* t (sin k)) l)
(/.f64 (*.f64 t (sin.f64 k)) l)
(/ (* t (sin k)) l)
(/.f64 (*.f64 t (sin.f64 k)) l)
(/ (* t (sin k)) l)
(/.f64 (*.f64 t (sin.f64 k)) l)
(/ (* t (sin k)) l)
(/.f64 (*.f64 t (sin.f64 k)) l)
(/ (* t (sin k)) l)
(/.f64 (*.f64 t (sin.f64 k)) l)
(/ (* t (sin k)) l)
(/.f64 (*.f64 t (sin.f64 k)) l)
(/ (* t (sin k)) l)
(/.f64 (*.f64 t (sin.f64 k)) l)
(/ (* t (sin k)) l)
(/.f64 (*.f64 t (sin.f64 k)) l)

rewrite411.0ms (2.6%)

Memory
-21.7MiB live, 437.8MiB allocated
Rules
6 154×lower-*.f32
6 108×lower-*.f64
4 772×lower-/.f32
4 748×lower-/.f64
2 674×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064462
0106434
1350402
22434396
08705396
Stop Event
iter limit
node limit
iter limit
Counts
31 → 748
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)
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(-.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)))
(/.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))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l)))
(/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l)
(*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (/.f64 (*.f64 (tan.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))) l))
(*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k)))
(*.f64 t (*.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))
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(*.f64 (*.f64 k k) (*.f64 k k))
(*.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)))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l)))
(/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l))
(/.f64 (*.f64 k k) (*.f64 t t))
(/.f64 (*.f64 t (*.f64 t t)) l)
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 t t) l)
(*.f64 (/.f64 t l) (sin.f64 k))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 (*.f64 l (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 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 l (*.f64 (*.f64 l (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 (*.f64 l (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)))))
(/.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 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.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 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 k k)) (/.f64 (*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
(/.f64 (*.f64 l (*.f64 (*.f64 l (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))))
(/.f64 (*.f64 (*.f64 l (*.f64 l (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)))))
(/.f64 #s(literal -1 binary64) (neg.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 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64)))))))
(/.f64 (/.f64 (*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.f64 t (*.f64 k k)))
(/.f64 (neg.f64 (*.f64 (*.f64 l (*.f64 l (cos.f64 k))) #s(literal -2 binary64))) (neg.f64 (*.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 (neg.f64 (/.f64 (*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))) (-.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 (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k))))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 t (*.f64 k k)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l (*.f64 l (cos.f64 k))) (*.f64 t (*.f64 k k)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))
(/.f64 (/.f64 (*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))) (*.f64 t (*.f64 k k))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))
(/.f64 (/.f64 (*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (*.f64 k k))
(/.f64 (/.f64 (/.f64 (*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) t) (*.f64 k k))
(/.f64 (/.f64 (/.f64 (*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.f64 k k)) t)
(/.f64 (/.f64 (/.f64 (*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.f64 t k)) k)
(pow.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 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.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 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (/.f64 (*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l (*.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)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (*.f64 (*.f64 l (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)))))
(*.f64 (*.f64 l (*.f64 l (cos.f64 k))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k))))))
(*.f64 (*.f64 l (*.f64 l (cos.f64 k))) (/.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)))))
(*.f64 (*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))))
(*.f64 (*.f64 (*.f64 l (*.f64 l (cos.f64 k))) #s(literal -2 binary64)) (/.f64 #s(literal 1 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 #s(literal 2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (/.f64 (*.f64 l (*.f64 l (cos.f64 k))) (*.f64 t (*.f64 k k))))
(*.f64 (/.f64 (*.f64 l (*.f64 l (cos.f64 k))) (*.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))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))) (*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k))))))
(*.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)))))
(*.f64 (/.f64 (*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k k))))
(*.f64 (/.f64 (*.f64 l (*.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(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 l (*.f64 l (cos.f64 k))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))
(*.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))))))
(*.f64 (/.f64 (*.f64 l (*.f64 l (cos.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 t (*.f64 k k))))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (/.f64 (*.f64 l (*.f64 l (cos.f64 k))) (*.f64 k k)))
(*.f64 (/.f64 (*.f64 l (*.f64 l (cos.f64 k))) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (/.f64 #s(literal 2 binary64) (*.f64 k k)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 t (*.f64 k k))))
(*.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)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (pow.f64 (/.f64 (*.f64 k k) (*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l (*.f64 l (cos.f64 k)))) #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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l (cos.f64 k))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 l (*.f64 l (cos.f64 k)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 t (*.f64 k k)) (*.f64 l (cos.f64 k))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) (*.f64 l (*.f64 l (cos.f64 k)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.f64 l (*.f64 l (cos.f64 k)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) (*.f64 l (cos.f64 k))) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k))))
(*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64)))
(*.f64 (*.f64 l (cos.f64 k)) (*.f64 #s(literal 2 binary64) l))
(*.f64 (*.f64 l (*.f64 l (cos.f64 k))) #s(literal 2 binary64))
(*.f64 (*.f64 l l) (*.f64 (cos.f64 k) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (cos.f64 k))
(*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 l (cos.f64 k)))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (cos.f64 k))) l)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 k)) l)
(*.f64 l (*.f64 l (cos.f64 k)))
(*.f64 (cos.f64 k) (*.f64 l l))
(*.f64 (*.f64 l (cos.f64 k)) l)
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(/.f64 (*.f64 (*.f64 (tan.f64 k) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (sin.f64 k))) (*.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 2 binary64)) (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 0 binary64)))) (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 2 binary64)))
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(/.f64 (*.f64 (*.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 2 binary64)) (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 0 binary64))) (*.f64 (tan.f64 k) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (sin.f64 k)))) (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (*.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 0 binary64)) (tan.f64 k))) l)
(/.f64 (*.f64 (*.f64 (sin.f64 k) (*.f64 t (*.f64 t t))) (*.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 0 binary64)) (tan.f64 k))) (*.f64 l l))
(*.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (*.f64 (sin.f64 k) (*.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 0 binary64)) (tan.f64 k))))
(*.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 0 binary64))))
(*.f64 (sin.f64 k) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (*.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 0 binary64)) (tan.f64 k))))
(*.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 0 binary64)) (*.f64 (tan.f64 k) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (sin.f64 k))))
(*.f64 (tan.f64 k) (*.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (sin.f64 k)) (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 (*.f64 t (sin.f64 k)) l) (*.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 0 binary64)) (tan.f64 k))))
(*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 (*.f64 (*.f64 t (sin.f64 k)) (tan.f64 k)) l) (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 t (sin.f64 k)) l) (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 0 binary64)) (tan.f64 k))))
(*.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (sin.f64 k)) (*.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 0 binary64)) (tan.f64 k)))
(*.f64 (*.f64 (tan.f64 k) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (sin.f64 k))) (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 0 binary64)))
(*.f64 (*.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 0 binary64)) (tan.f64 k)) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (sin.f64 k)))
(*.f64 (*.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 0 binary64)) (/.f64 (*.f64 t t) l)) (/.f64 (*.f64 (*.f64 t (sin.f64 k)) (tan.f64 k)) l))
(*.f64 (*.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 0 binary64)) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (sin.f64 k))) (tan.f64 k))
(*.f64 (*.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 0 binary64)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l))) (*.f64 (sin.f64 k) (tan.f64 k)))
(exp.f64 (*.f64 (log.f64 (/.f64 l (*.f64 t t))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 t t) (neg.f64 l)))
(neg.f64 (/.f64 (*.f64 t (neg.f64 t)) l))
(/.f64 t (/.f64 l t))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (*.f64 t t)) #s(literal 1 binary64)))
(/.f64 (*.f64 t t) l)
(/.f64 (*.f64 t (neg.f64 t)) (neg.f64 l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 t t))))
(/.f64 (*.f64 (*.f64 t t) #s(literal 1 binary64)) l)
(/.f64 (neg.f64 (*.f64 t (neg.f64 t))) (neg.f64 (neg.f64 l)))
(/.f64 (*.f64 t #s(literal 1 binary64)) (/.f64 l t))
(pow.f64 (/.f64 l (*.f64 t t)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 l (*.f64 t t)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 t (/.f64 t l))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) l))
(*.f64 (*.f64 t t) (/.f64 #s(literal 1 binary64) l))
(*.f64 (/.f64 t l) t)
(*.f64 (*.f64 t (neg.f64 t)) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(*.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 t t))
(*.f64 (/.f64 #s(literal 1 binary64) l) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 t (sin.f64 k))))
(/.f64 (sin.f64 k) (/.f64 l t))
(/.f64 (*.f64 t (sin.f64 k)) l)
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 k)) (/.f64 l t))
(/.f64 (*.f64 (sin.f64 k) #s(literal 1 binary64)) (/.f64 l t))
(/.f64 (neg.f64 (*.f64 t (sin.f64 k))) (neg.f64 l))
(/.f64 (*.f64 (sin.f64 k) (neg.f64 t)) (neg.f64 l))
(/.f64 (*.f64 (neg.f64 t) (sin.f64 k)) (neg.f64 l))
(pow.f64 (/.f64 l (*.f64 t (sin.f64 k))) #s(literal -1 binary64))
(*.f64 t (/.f64 (sin.f64 k) l))
(*.f64 t (*.f64 (/.f64 #s(literal 1 binary64) l) (sin.f64 k)))
(*.f64 (sin.f64 k) (/.f64 t l))
(*.f64 (/.f64 t l) (sin.f64 k))
(*.f64 (*.f64 t (sin.f64 k)) (/.f64 #s(literal 1 binary64) l))

eval211.0ms (1.3%)

Memory
43.4MiB live, 478.3MiB allocated
Compiler

Compiled 51 647 to 3 332 computations (93.5% saved)

prune370.0ms (2.4%)

Memory
-30.4MiB live, 655.7MiB allocated
Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New1 861351 896
Fresh16117
Picked415
Done000
Total1 881371 918
Accuracy
93.9%
Counts
1 918 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.0%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 (*.f64 (*.f64 t (sin.f64 k)) (tan.f64 k)) l) (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 0 binary64)))))
35.0%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
45.0%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) #s(approx (* (/ t l) (sin k)) (/.f64 (*.f64 k t) l))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
32.2%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) (tan.f64 k)) (/.f64 (*.f64 k k) (*.f64 l (*.f64 t t)))))
34.0%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) #s(approx (/ (* (tan k) (/ (* k k) (* t t))) l) (/.f64 (*.f64 k (*.f64 k k)) (*.f64 (*.f64 l t) t)))))
19.6%
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
28.6%
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
16.4%
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (tan.f64 k) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (sin.f64 k)))) (fma.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 1 binary64)) (*.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 1 binary64)) (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 1 binary64))) #s(literal -1 binary64))) (fma.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 1 binary64)) (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 1 binary64)) (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 2 binary64))))
33.7%
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 k) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 k k) (tan.f64 k))) (*.f64 l (*.f64 t t)))) l)
24.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 31/3024 binary64)) (*.f64 (*.f64 k k) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))) (*.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))))
27.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 k k) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)) k) k) (*.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))))
72.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.f64 t k)) k))
70.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) t) (*.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 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 k k)) (*.f64 k k)))
62.3%
#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)) t) (*.f64 k (*.f64 k (*.f64 k k)))))
46.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
72.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k)) k)))
72.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (*.f64 (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) k) k)))
72.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 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))))))))
66.3%
#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 (*.f64 l (cos.f64 k)))) (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (*.f64 k k)))))
64.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (*.f64 t (*.f64 k k)) k) k)))
63.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 t k) (*.f64 k (*.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) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.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) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))))
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) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
48.8%
#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)))))
75.2%
#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))))
79.9%
#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) l) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 t (*.f64 k k)))))
79.4%
#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) 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))))
75.2%
#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) l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
68.2%
#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) l) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 l t)))
64.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 l l) (*.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 l (*.f64 l (cos.f64 k))) (/.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))))))
79.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) 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))))))
71.5%
#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 k (*.f64 (*.f64 k (*.f64 k k)) t)))))
79.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))))))
71.5%
#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 #s(literal 1 binary64) (*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t))))))
Compiler

Compiled 1 953 to 1 084 computations (44.5% saved)

simplify311.0ms (2%)

Memory
17.2MiB live, 408.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.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) l) (*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))))))
cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
cost-diff320
(*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))))
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 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t)
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) (*.f64 l l)) t) (*.f64 k k)) (*.f64 k k)))
cost-diff384
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 k k))
cost-diff384
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 k k)) (*.f64 k k))
cost-diff0
(/.f64 l (*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t)))
cost-diff0
(*.f64 #s(literal 2 binary64) l)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t))))
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 k (*.f64 (*.f64 k (*.f64 k k)) t)))))
cost-diff0
(*.f64 #s(literal 2 binary64) l)
cost-diff0
(*.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)))))
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 (*.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))))))
cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
Rules
11 018×lower-fma.f64
11 018×lower-fma.f32
5 788×lower-*.f32
5 756×lower-*.f64
2 106×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056589
086565
1187555
2596527
33039527
44629527
56895527
08337516
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) 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))))))
(*.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)))))
(*.f64 #s(literal 2 binary64) l)
#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))))
(*.f64 l (cos.f64 k))
(cos.f64 k)
k
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))
(cos.f64 (+.f64 k k))
(+.f64 k k)
(*.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) l) (/.f64 l (*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t)))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t))))
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(/.f64 l (*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t)))
(*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t))
k
(*.f64 (*.f64 k (*.f64 k k)) t)
(*.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 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 k k)) (*.f64 k k)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 k k)) (*.f64 k k))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 k k))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t)
(*.f64 #s(literal 2 binary64) (*.f64 l l))
#s(literal 2 binary64)
(*.f64 l l)
l
t
(*.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 (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 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k))))))
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))))
(*.f64 l (cos.f64 k))
(cos.f64 k)
k
(/.f64 #s(literal 1 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(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))
(cos.f64 (+.f64 k k))
(+.f64 k k)
(*.f64 t (*.f64 k k))
t
(*.f64 k k)
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #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 (*.f64 #s(literal 2 binary64) l) (*.f64 l (cos.f64 k))) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k)))))
(*.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)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 l (cos.f64 k))) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))))
(*.f64 #s(literal 2 binary64) l)
#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))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))))
(*.f64 l (cos.f64 k))
(cos.f64 k)
k
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))
(*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
(fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))
(cos.f64 (+.f64 k k))
(+.f64 k 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) l) (/.f64 l (*.f64 k (*.f64 (*.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 #s(literal 2 binary64) l) (/.f64 l (*.f64 k (*.f64 (*.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 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(/.f64 l (*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t)))
(/.f64 l (*.f64 t (*.f64 k (*.f64 k (*.f64 k k)))))
(*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t))
(*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))
k
(*.f64 (*.f64 k (*.f64 k k)) t)
(*.f64 t (*.f64 k (*.f64 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 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l 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 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.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 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 k k))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 k k)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t)
(*.f64 #s(literal 2 binary64) (*.f64 l l))
#s(literal 2 binary64)
(*.f64 l l)
l
t
(*.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 (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 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 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 (*.f64 #s(literal 2 binary64) l) (*.f64 l (cos.f64 k))) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k)))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k))))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 l (cos.f64 k))) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))))
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))))
(*.f64 l (cos.f64 k))
(cos.f64 k)
k
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))
(*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
(fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))
(cos.f64 (+.f64 k k))
(+.f64 k k)
(*.f64 t (*.f64 k k))
t
(*.f64 k k)

localize777.0ms (5%)

Memory
-47.4MiB live, 585.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.9801893403969384
(*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k))))))
accuracy4.964664264759185
(*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))))
accuracy6.780984524263592
(*.f64 t (*.f64 k k))
accuracy13.475229873995435
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
accuracy1.4552174201438541
(exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))
accuracy4.251576571162041
(*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))
accuracy14.142080088592753
#s(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))))))
accuracy14.5851885703243
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))))
accuracy4.163441730763263
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 k k)) (*.f64 k k))
accuracy9.03038290532967
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t)
accuracy14.142080088592753
#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)))
accuracy14.393386296208876
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 k k))
accuracy1.976167091054615
(*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t))))
accuracy4.021582522835625
(/.f64 l (*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t)))
accuracy6.125727788197527
(*.f64 (*.f64 k (*.f64 k k)) t)
accuracy14.142080088592753
#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 k (*.f64 (*.f64 k (*.f64 k k)) t)))))
accuracy1.9801893403969384
(*.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)))))
accuracy4.939605524527627
(/.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))))
accuracy6.780984524263592
(*.f64 t (*.f64 k k))
accuracy13.475229873995435
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
Samples
329.0ms30×1valid
128.0ms106×0valid
102.0ms74×2valid
85.0ms46×3valid
Compiler

Compiled 495 to 52 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 496.0ms
ival-mult: 377.0ms (76.1% of total)
adjust: 36.0ms (7.3% of total)
ival-cos: 25.0ms (5% of total)
ival-div: 20.0ms (4% of total)
ival-sin: 6.0ms (1.2% of total)
ival-exp: 5.0ms (1% of total)
ival-pow2: 5.0ms (1% of total)
ival-sub: 5.0ms (1% of total)
ival-tan: 5.0ms (1% of total)
ival-log: 5.0ms (1% of total)
ival-add: 4.0ms (0.8% of total)
ival-pow: 3.0ms (0.6% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series85.0ms (0.5%)

Memory
-16.1MiB live, 181.9MiB allocated
Counts
22 → 648
Calls
Call 1
Inputs
#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k 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) 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)))))) (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 (*.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)))))) #<representation binary64>) () ())
#s(alt (*.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))))) (patch (*.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))))) #<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 #s(literal 2 binary64) l) (/.f64 l (*.f64 k (*.f64 (*.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 #s(literal 2 binary64) l) (/.f64 l (*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t)))) (patch (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t)))) #<representation binary64>) () ())
#s(alt (/.f64 l (*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t))) (patch (/.f64 l (*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 k k)) (*.f64 k k)) (patch (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 k k)) (*.f64 k k)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 k k)) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 k 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 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.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 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 k k)) (*.f64 k k))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (patch (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) #<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 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (patch (*.f64 #s(literal 2 binary64) (*.f64 l l)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k))))) (patch (*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k 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) l) (*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.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) l) (*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k))))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))))) (patch (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))))) #<representation binary64>) () ())
#s(alt (*.f64 t (*.f64 k k)) (patch (*.f64 t (*.f64 k k)) #<representation binary64>) () ())
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 k (*.f64 k k)) t) (patch (*.f64 (*.f64 k (*.f64 k k)) t) #<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>) () ())
Outputs
#s(alt (pow k 2) (taylor 0 k) (#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (+ 1 (* -1/3 (pow k 2)))) (taylor 0 k) (#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3)))) (taylor 0 k) (#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3)))) (taylor 0 k) (#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) #<representation binary64>) () ())) ())
#s(alt (- 1/2 (* 1/2 (cos (* 2 k)))) (taylor inf k) (#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) #<representation binary64>) () ())) ())
#s(alt (- 1/2 (* 1/2 (cos (* 2 k)))) (taylor inf k) (#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) #<representation binary64>) () ())) ())
#s(alt (- 1/2 (* 1/2 (cos (* 2 k)))) (taylor inf k) (#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) #<representation binary64>) () ())) ())
#s(alt (- 1/2 (* 1/2 (cos (* 2 k)))) (taylor inf k) (#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) #<representation binary64>) () ())) ())
#s(alt (- 1/2 (* 1/2 (cos (neg (* -2 k))))) (taylor -inf k) (#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) #<representation binary64>) () ())) ())
#s(alt (- 1/2 (* 1/2 (cos (neg (* -2 k))))) (taylor -inf k) (#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) #<representation binary64>) () ())) ())
#s(alt (- 1/2 (* 1/2 (cos (neg (* -2 k))))) (taylor -inf k) (#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) #<representation binary64>) () ())) ())
#s(alt (- 1/2 (* 1/2 (cos (neg (* -2 k))))) (taylor -inf k) (#s(alt (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (patch (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.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) 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)))))) (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 (*.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)))))) #<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) 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)))))) (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 (*.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)))))) #<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) 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)))))) (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 (*.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)))))) #<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) 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)))))) (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 (*.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)))))) #<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) 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)))))) (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 (*.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)))))) #<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) 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)))))) (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 (*.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)))))) #<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) 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)))))) (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 (*.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)))))) #<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) 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)))))) (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 (*.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)))))) #<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) 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)))))) (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 (*.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)))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow k 4) t) (taylor 0 k) (#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 (* (pow k 4) t) (taylor inf k) (#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 (* (pow k 4) t) (taylor inf k) (#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 (* (pow k 4) t) (taylor inf k) (#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 (* (pow k 4) t) (taylor inf k) (#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 (* (pow k 4) t) (taylor -inf k) (#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 (* (pow k 4) t) (taylor -inf k) (#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 (* (pow k 4) t) (taylor -inf k) (#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 (* (pow k 4) t) (taylor -inf k) (#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>) () ())) ())
Calls

162 calls:

TimeVariablePointExpression
17.0ms
k
@0
(* (* l (cos k)) (/ 1 (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))))
3.0ms
k
@-inf
(- 1/2 (* 1/2 (cos (+ k k))))
2.0ms
l
@0
(* (* 2 l) (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))))
2.0ms
t
@0
(* (* 2 l) (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))))
2.0ms
k
@inf
(/ (/ (/ (* 2 (* l l)) t) (* k k)) (* k k))

simplify284.0ms (1.8%)

Memory
-41.6MiB live, 317.6MiB allocated
Algorithm
egg-herbie
Rules
8 352×lower-fma.f64
8 352×lower-fma.f32
5 172×lower-*.f64
5 172×lower-*.f32
3 466×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01779728
15349648
218739392
371449392
080769180
Stop Event
iter limit
node limit
Counts
648 → 648
Calls
Call 1
Inputs
(pow k 2)
(* (pow k 2) (+ 1 (* -1/3 (pow k 2))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 k))))
(- 1/2 (* 1/2 (cos (* 2 k))))
(- 1/2 (* 1/2 (cos (* 2 k))))
(- 1/2 (* 1/2 (cos (* 2 k))))
(- 1/2 (* 1/2 (cos (neg (* -2 k)))))
(- 1/2 (* 1/2 (cos (neg (* -2 k)))))
(- 1/2 (* 1/2 (cos (neg (* -2 k)))))
(- 1/2 (* 1/2 (cos (neg (* -2 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) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (pow l 2) (* (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 (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 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)))
(/ 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) (* (pow k 2) t)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
(* 2 (/ (pow l 2) (* (pow k 2) t)))
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(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* (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)
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ l (* (pow k 4) t))
(/ (+ (* (pow k 2) (- (* -1/2 (/ l t)) (* -1/3 (/ l t)))) (/ l t)) (pow k 4))
(/ (+ (* (pow k 2) (- (+ (* -1/2 (/ l t)) (* (pow k 2) (- (* 1/24 (/ l t)) (+ (* -1/3 (- (* -1/2 (/ l t)) (* -1/3 (/ l t)))) (* 2/45 (/ l t)))))) (* -1/3 (/ l t)))) (/ l t)) (pow k 4))
(/ (+ (* (pow k 2) (- (+ (* -1/2 (/ l t)) (* (pow k 2) (- (+ (* 1/24 (/ l t)) (* (pow k 2) (- (* -1/720 (/ l t)) (+ (* -1/3 (- (* 1/24 (/ l t)) (+ (* -1/3 (- (* -1/2 (/ l t)) (* -1/3 (/ l t)))) (* 2/45 (/ l t))))) (+ (* -1/315 (/ l t)) (* 2/45 (- (* -1/2 (/ l t)) (* -1/3 (/ l t))))))))) (+ (* -1/3 (- (* -1/2 (/ l t)) (* -1/3 (/ l t)))) (* 2/45 (/ l t)))))) (* -1/3 (/ l t)))) (/ l t)) (pow k 4))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) t)
(* (pow k 3) 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 4) t)
Outputs
(pow k 2)
(*.f64 k k)
(* (pow k 2) (+ 1 (* -1/3 (pow k 2))))
(*.f64 k (fma.f64 k (*.f64 (*.f64 k k) #s(literal -1/3 binary64)) k))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))
(*.f64 (*.f64 k 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 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 k (*.f64 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)))
(- 1/2 (* 1/2 (cos (* 2 k))))
(fma.f64 (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 k))))
(fma.f64 (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 k))))
(fma.f64 (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (* 2 k))))
(fma.f64 (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 k)))))
(fma.f64 (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 k)))))
(fma.f64 (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 k)))))
(fma.f64 (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(- 1/2 (* 1/2 (cos (neg (* -2 k)))))
(fma.f64 (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 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))
(/.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)))
(/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))
(/.f64 (fma.f64 (*.f64 k k) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -7/60 binary64)) t)) (*.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)))
(/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))
(/.f64 (fma.f64 (*.f64 k k) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 31/3024 binary64))) (/.f64 (*.f64 (*.f64 l l) #s(literal -7/60 binary64)) t))) (*.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)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 (fma.f64 (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 (fma.f64 (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 (fma.f64 (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 (fma.f64 (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 (fma.f64 (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 (fma.f64 (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 k k) t)))
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(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 k k) t)))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.f64 (*.f64 k k) t))
(* (pow k 3) t)
(*.f64 k (*.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)))

rewrite254.0ms (1.6%)

Memory
36.0MiB live, 451.0MiB allocated
Rules
5 510×lower-/.f32
5 496×lower-/.f64
4 162×lower-*.f32
4 130×lower-*.f64
2 210×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056421
086399
1307339
22057335
08133335
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 049
Calls
Call 1
Inputs
(-.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 #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))))))
(*.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)))))
(*.f64 #s(literal 2 binary64) l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t)))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t))))
(/.f64 l (*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t)))
(/.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 k k)) (*.f64 k k))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 k k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 k k)) (*.f64 k k)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) 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))))))
(/.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))
(*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 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) l) (*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k)))))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t (*.f64 k k))))))
(*.f64 t (*.f64 k k))
(/.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))))
(*.f64 (*.f64 k (*.f64 k k)) t)
(*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (+.f64 k k)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 k k)))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 k k)))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 k k)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (cos.f64 (+.f64 k k))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 (cos.f64 (+.f64 k k))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 k k)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 k k)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 k k)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 k k)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 k k))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 k k))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 k k))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 k k)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 k k)))))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 k k)))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 k k)))))))) (pow.f64 (cos.f64 k) #s(literal 4 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 k k)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
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(/.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) (*.f64 (*.f64 k k) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 l (cos.f64 k)) #s(literal -1 binary64)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 k (*.f64 k t)))))
(/.f64 (*.f64 (/.f64 l (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (cos.f64 k)) (*.f64 k (*.f64 k t)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 l (cos.f64 k))) (*.f64 k (*.f64 k t)))
(/.f64 (*.f64 l (/.f64 (cos.f64 k) (*.f64 k (*.f64 k t)))) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) t) (*.f64 k k))
(/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k k)) t)
(/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 l (cos.f64 k))))) (neg.f64 (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 k (*.f64 k t)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))))) (neg.f64 (neg.f64 (*.f64 k (*.f64 k t)))))
(/.f64 (neg.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 k (*.f64 k t)))) (neg.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t))) (*.f64 k (neg.f64 k)))
(/.f64 (neg.f64 (*.f64 (*.f64 l (cos.f64 k)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 k (*.f64 k t))))))
(/.f64 (neg.f64 (*.f64 (/.f64 l (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (cos.f64 k))) (neg.f64 (*.f64 k (*.f64 k t))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 l (cos.f64 k)))) (neg.f64 (*.f64 k (*.f64 k t))))
(/.f64 (neg.f64 (*.f64 l (/.f64 (cos.f64 k) (*.f64 k (*.f64 k t))))) (neg.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) t)) (*.f64 k (neg.f64 k)))
(/.f64 (neg.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k k))) (neg.f64 t))
(/.f64 (neg.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t))) (neg.f64 k))
(pow.f64 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (/.f64 (*.f64 k (*.f64 k t)) l)) #s(literal -1 binary64))
(*.f64 l (/.f64 (cos.f64 k) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))))
(*.f64 (cos.f64 k) (/.f64 l (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))))
(*.f64 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 l (cos.f64 k)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (cos.f64 k))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (/.f64 (*.f64 k (*.f64 k t)) l)))))
(*.f64 (neg.f64 (*.f64 l (cos.f64 k))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))))
(*.f64 (/.f64 l (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (cos.f64 k) (*.f64 k (*.f64 k t))))
(*.f64 (/.f64 (cos.f64 k) (*.f64 k (*.f64 k t))) (/.f64 l (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (*.f64 k (*.f64 k t)) (*.f64 l (cos.f64 k))) #s(literal -1 binary64)))
(*.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k t))))
(*.f64 (/.f64 (cos.f64 k) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) l)
(*.f64 (neg.f64 (neg.f64 (*.f64 l (cos.f64 k)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))))
(*.f64 (neg.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k))))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 k (*.f64 k t)))))
(*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 k (*.f64 k t))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 l (*.f64 k (*.f64 k t))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k))) (/.f64 l (*.f64 k (*.f64 k t))))
(*.f64 (/.f64 l (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) (/.f64 (cos.f64 k) (*.f64 k k)))
(*.f64 (/.f64 (cos.f64 k) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) (/.f64 l (*.f64 k k)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k t))) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))))
(*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) (/.f64 #s(literal 1 binary64) (*.f64 k k)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) l) (cos.f64 k))
(*.f64 (*.f64 (*.f64 l (cos.f64 k)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))))
(*.f64 (*.f64 (/.f64 l (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k t))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 l (cos.f64 k))) (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k t))))
(*.f64 (*.f64 l (/.f64 (cos.f64 k) (*.f64 k (*.f64 k t)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) (pow.f64 (/.f64 (*.f64 k k) (*.f64 l (cos.f64 k))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) t) (/.f64 #s(literal 1 binary64) (*.f64 k k)))
(*.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k k)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) (/.f64 #s(literal 1 binary64) k))
(*.f64 (pow.f64 (*.f64 (sin.f64 k) (tan.f64 k)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k (*.f64 k t)) l) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 k (*.f64 k t)) l) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 k) (tan.f64 k)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t) l) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) (cos.f64 k)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t) (cos.f64 k)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 k k) l) #s(literal -1 binary64)))
(*.f64 k (*.f64 k (*.f64 k t)))
(*.f64 t (*.f64 k (*.f64 k k)))
(*.f64 (*.f64 k k) (*.f64 k t))
(*.f64 (*.f64 k (*.f64 k t)) k)
(*.f64 (*.f64 k (*.f64 k k)) t)
(*.f64 (*.f64 k t) (*.f64 k k))
(*.f64 k (*.f64 k (*.f64 k (*.f64 k t))))
(*.f64 t (*.f64 k (*.f64 k (*.f64 k k))))
(*.f64 (*.f64 k k) (*.f64 k (*.f64 k t)))
(*.f64 (*.f64 k (*.f64 k k)) (*.f64 k t))
(*.f64 (*.f64 k (*.f64 k (*.f64 k t))) k)
(*.f64 (*.f64 k (*.f64 k (*.f64 k k))) t)
(*.f64 (*.f64 k t) (*.f64 k (*.f64 k k)))

eval212.0ms (1.4%)

Memory
2.3MiB live, 364.3MiB allocated
Compiler

Compiled 39 855 to 1 876 computations (95.3% saved)

prune348.0ms (2.2%)

Memory
-14.7MiB live, 548.2MiB allocated
Pruning

53 alts after pruning (51 fresh and 2 done)

PrunedKeptTotal
New1 799351 834
Fresh151631
Picked415
Done011
Total1 818531 871
Accuracy
98.1%
Counts
1 871 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.0%
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 (*.f64 (*.f64 t (sin.f64 k)) (tan.f64 k)) l) (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 0 binary64)))))
35.0%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
34.0%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) #s(approx (/ (* (tan k) (/ (* k k) (* t t))) l) (/.f64 (*.f64 k (*.f64 k k)) (*.f64 (*.f64 l t) t)))))
28.6%
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
24.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 31/3024 binary64)) (*.f64 (*.f64 k k) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))) (*.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))))
27.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 k k) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)) k) k) (*.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))))
72.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.f64 t k)) k))
70.1%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (*.f64 l (*.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) t) (*.f64 k k)))
66.5%
#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) l) (/.f64 l t)) (*.f64 k k)) (*.f64 k k)))
72.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 l (*.f64 #s(literal 2 binary64) (*.f64 l (cos.f64 k)))) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 k (*.f64 k t))))
64.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k t)) (*.f64 k (*.f64 k k))))
64.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) k) (*.f64 k (*.f64 k (*.f64 k t)))))
46.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
74.9%
#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 t)) (/.f64 l k)) (*.f64 k k)))
85.3%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 #s(literal 2 binary64) l)) (*.f64 k (*.f64 k t))))
64.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t)))) (*.f64 k k)))
75.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (cos.f64 k))) (*.f64 k (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
72.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 #s(literal 2 binary64) (*.f64 l (cos.f64 k)))) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))))
66.3%
#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 (*.f64 l (cos.f64 k)))) (*.f64 #s(approx (pow (sin k) 2) (*.f64 k k)) (*.f64 t (*.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) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.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) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))))
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) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k)))))
91.6%
#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 (sin.f64 k) (tan.f64 k)) (/.f64 (*.f64 k (*.f64 k t)) 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) l) (*.f64 k (/.f64 (*.f64 k (*.f64 k (*.f64 k t))) l))))
48.8%
#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)))))
83.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
83.6%
#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 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 l (cos.f64 k))))
79.4%
#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) l) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) (/.f64 (*.f64 l (cos.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 (*.f64 #s(literal 2 binary64) l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
75.3%
#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 k (*.f64 k (*.f64 k t)))) (/.f64 l k)))
68.2%
#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) l) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 l t)))
72.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 k (*.f64 k (*.f64 k (*.f64 k t))))) (*.f64 #s(literal 2 binary64) l)))
64.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 l l) (*.f64 k k))))
72.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (/.f64 (cos.f64 k) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))))))
76.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 (/.f64 l k) k) (*.f64 k (*.f64 k t)))))
94.9%
#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 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k)))
79.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) (*.f64 k k))))
79.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))))))
73.1%
#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 (*.f64 l (cos.f64 k)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 (*.f64 k 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)))) (*.f64 t (*.f64 k k))))))
71.0%
#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 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 k (*.f64 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)))) (*.f64 t (*.f64 k k))))))
74.3%
#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 l (cos.f64 k)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 k k)) (*.f64 t (*.f64 k k))))))
87.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 k k) (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) t)))))
80.9%
#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 (cos.f64 k) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) (/.f64 l (*.f64 k k)))))
91.6%
#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 l (*.f64 k (*.f64 k t))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 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 #s(literal 1 binary64) (*.f64 k (*.f64 k (*.f64 k k)))) (pow.f64 (/.f64 t l) #s(literal -1 binary64)))))
74.3%
#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 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 k k)) (*.f64 t (*.f64 k k)))))))
71.5%
#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 #s(literal 1 binary64) (*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t))))))
74.7%
#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) (exp.f64 (*.f64 (log.f64 (*.f64 k (/.f64 (*.f64 k (*.f64 k (*.f64 k t))) l))) #s(literal -1 binary64)))))
41.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (/.f64 l t) #s(literal -2/45 binary64) (*.f64 (/.f64 l t) #s(literal -1/72 binary64))) (*.f64 l (/.f64 #s(literal -1/6 binary64) t))) (/.f64 l t)) (*.f64 (*.f64 k k) (*.f64 k k))))))
52.3%
#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) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 (fma.f64 k (*.f64 k (*.f64 l (/.f64 #s(literal -1/6 binary64) t))) (/.f64 l t)) (*.f64 (*.f64 k k) (*.f64 k k))))))
70.7%
#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) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
91.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 l (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (/.f64 (*.f64 k (*.f64 k t)) l)))))
24.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (* 2 l) (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k))))) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 l l) t) #s(literal -1/72 binary64) (/.f64 (*.f64 #s(literal -2/45 binary64) (*.f64 l l)) t)) (*.f64 (*.f64 k k) (*.f64 #s(literal 2 binary64) (*.f64 k k))) (*.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)))))
Compiler

Compiled 2 630 to 1 506 computations (42.7% saved)

simplify285.0ms (1.8%)

Memory
15.1MiB live, 325.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 l (cos.f64 k))
cost-diff0
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))))
cost-diff0
(*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l))
cost-diff0
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
cost-diff0
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l)))
cost-diff0
(*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l))) (tan.f64 k))
cost-diff0
(*.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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t))
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 t)) (/.f64 l k)) (*.f64 k k)))
cost-diff384
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l k))
cost-diff384
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l k)) (*.f64 k k))
cost-diff0
#s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
cost-diff0
(*.f64 #s(literal 2 binary64) l)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 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) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 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) l) (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k)))
cost-diff320
(*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k))))
cost-diff384
(/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t))
cost-diff384
(/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k)
Rules
10 832×lower-fma.f32
10 830×lower-fma.f64
5 916×lower-*.f32
5 876×lower-*.f64
2 380×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
075699
0113696
1248650
2742626
33749626
45507626
57739626
08338626
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) l) (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k)))
(*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k))
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k)
(/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t))
(*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))
#s(literal 1 binary64)
(*.f64 (sin.f64 k) (tan.f64 k))
(sin.f64 k)
k
(tan.f64 k)
(*.f64 k t)
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) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
(*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))))
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
#s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
t
(*.f64 (*.f64 k k) (*.f64 k 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 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l k)) (*.f64 k k)))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l k)) (*.f64 k k))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l k))
(/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t))
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(*.f64 k t)
k
t
(/.f64 l k)
(*.f64 k k)
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l))) (tan.f64 k))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l)))
(/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l))
(*.f64 t (*.f64 k (*.f64 t t)))
t
(*.f64 k (*.f64 t t))
k
(*.f64 t t)
(*.f64 l l)
l
(tan.f64 k)
(-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
(*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))))
(*.f64 l (cos.f64 k))
l
(cos.f64 k)
k
(*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))
(fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (+.f64 k k))
(+.f64 k k)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(*.f64 k (*.f64 k t))
(*.f64 k t)
t
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 t (*.f64 k k)))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 t (*.f64 k k))))
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k)
(/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 t (*.f64 k k))))
(/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t))
(/.f64 l (*.f64 t (*.f64 k (*.f64 (sin.f64 k) (tan.f64 k)))))
(*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 l (*.f64 (sin.f64 k) (tan.f64 k)))
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))
#s(literal 1 binary64)
(*.f64 (sin.f64 k) (tan.f64 k))
(sin.f64 k)
k
(tan.f64 k)
(*.f64 k t)
(*.f64 t 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) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 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) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 k (*.f64 k (*.f64 t (*.f64 k k))))))))
(*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))))
(*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 k (*.f64 k (*.f64 t (*.f64 k k)))))))
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
#s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
#s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 k (*.f64 k (*.f64 t (*.f64 k k))))))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/.f64 l (*.f64 k (*.f64 k (*.f64 t (*.f64 k k)))))
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(*.f64 k (*.f64 k (*.f64 t (*.f64 k k))))
t
(*.f64 (*.f64 k k) (*.f64 k k))
(*.f64 k (*.f64 k (*.f64 k 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 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l 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 k (*.f64 k (*.f64 t (*.f64 k k))))))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l k)) (*.f64 k k))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k (*.f64 k (*.f64 t (*.f64 k k)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l k))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 k k)))
(/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t))
(*.f64 #s(literal 2 binary64) (/.f64 l (*.f64 t k)))
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(*.f64 k t)
(*.f64 t k)
k
t
(/.f64 l k)
(*.f64 k k)
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 t (*.f64 t k))) (*.f64 l l))) (*.f64 (tan.f64 k) (+.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
#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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 t (*.f64 t k))) (*.f64 l l))) (*.f64 (tan.f64 k) (+.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.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 (tan.f64 k) #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 t (*.f64 t k))) (*.f64 l l))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l)))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 t (*.f64 t k))) (*.f64 l l)))
(/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l))
(/.f64 (*.f64 t (*.f64 t (*.f64 t k))) (*.f64 l l))
(*.f64 t (*.f64 k (*.f64 t t)))
(*.f64 t (*.f64 t (*.f64 t k)))
t
(*.f64 k (*.f64 t t))
(*.f64 t (*.f64 t k))
k
(*.f64 t t)
(*.f64 l l)
l
(tan.f64 k)
(-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal -1 binary64))
#s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 l (cos.f64 k))) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k)))))
(*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 l (cos.f64 k))) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k))))
(*.f64 l (cos.f64 k))
l
(cos.f64 k)
k
(*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))
(*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 t (*.f64 k k)))
(fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (+.f64 k k))
(+.f64 k k)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(*.f64 k (*.f64 k t))
(*.f64 t (*.f64 k k))
(*.f64 k t)
(*.f64 t k)
t
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)

localize302.0ms (1.9%)

Memory
6.5MiB live, 478.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.33958540492201417
(*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))
accuracy1.9801893403969384
(*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l))
accuracy4.939605524527627
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))))
accuracy13.475229873995435
(fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy17.230008291677812
(/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l))
accuracy19.41487320538932
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l)))
accuracy20.798907384872784
(*.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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy30.594914839916857
#s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64))
accuracy0.11328125
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l k))
accuracy4.130378029829395
(/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t))
accuracy4.163441730763263
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l k)) (*.f64 k k))
accuracy14.142080088592753
#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 t)) (/.f64 l k)) (*.f64 k k)))
accuracy1.9801893403969384
(*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))))
accuracy4.021582522835625
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
accuracy4.251576571162041
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
accuracy15.96159059884231
#s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
accuracy0.557362289829192
(/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k)
accuracy1.9801893403969384
(*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k))
accuracy3.4401561804889726
(*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k))))
accuracy3.53244977986148
(/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t))
Samples
74.0ms76×2valid
59.0ms47×3valid
58.0ms106×0valid
18.0ms27×1valid
Compiler

Compiled 530 to 59 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 156.0ms
ival-mult: 50.0ms (32.1% of total)
ival-cos: 29.0ms (18.6% of total)
ival-div: 25.0ms (16.1% of total)
adjust: 20.0ms (12.9% of total)
ival-tan: 6.0ms (3.9% of total)
ival-add: 6.0ms (3.9% of total)
ival-sin: 6.0ms (3.9% of total)
ival-pow2: 5.0ms (3.2% of total)
ival-sub: 5.0ms (3.2% of total)
ival-pow: 3.0ms (1.9% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series93.0ms (0.6%)

Memory
18.2MiB live, 167.3MiB allocated
Counts
27 → 864
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) (patch (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) #<representation binary64>) () ())
#s(alt (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (patch (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.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) l) (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) 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 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k 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 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 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) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))) (patch (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 t (*.f64 (*.f64 k 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 (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))) (patch #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l k)) (*.f64 k k)) (patch (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l k)) (*.f64 k k)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l k)) (patch (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l 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 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l 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 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l k)) (*.f64 k k))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (patch (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) #<representation binary64>) () ())
#s(alt (/.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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch (*.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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l))) (tan.f64 k)) (patch (*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l))) (tan.f64 k)) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l))) (patch #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l 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 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)) (patch (*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (patch (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) #<representation binary64>) () ())
#s(alt (*.f64 l (cos.f64 k)) (patch (*.f64 l (cos.f64 k)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k)) (patch (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) 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 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))) (patch (/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) (patch #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l)) (patch (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l)) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())
Outputs
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor 0 l) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor 0 l) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor 0 l) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor 0 l) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor inf l) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor inf l) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor inf l) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor inf l) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor -inf l) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor -inf l) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor -inf l) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor -inf l) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ l (* (pow k 4) t)) (taylor 0 k) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/6 (/ (* (pow k 2) l) t)) (/ l t)) (pow k 4)) (taylor 0 k) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/36 (/ l t)) (* 31/360 (/ l t))))) (* 1/6 (/ l t)))) (/ l t)) (pow k 4)) (taylor 0 k) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (pow k 2) (- (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ l t)) (* 31/360 (/ l t)))) (+ (* -31/2160 (/ l t)) (* 173/5040 (/ l t)))))) (+ (* -1/36 (/ l t)) (* 31/360 (/ l t))))) (* 1/6 (/ l t)))) (/ l t)) (pow k 4)) (taylor 0 k) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor inf k) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor inf k) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor inf k) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor inf k) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor -inf k) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor -inf k) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor -inf k) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor -inf k) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor inf t) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor inf t) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor inf t) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor inf t) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor -inf t) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor -inf t) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor -inf t) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))) (taylor -inf t) (#s(alt (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) (patch (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* k (* t (pow (sin k) 2)))) (taylor 0 l) (#s(alt (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) (patch (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* k (* t (pow (sin k) 2)))) (taylor 0 l) (#s(alt (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) (patch (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* k (* t (pow (sin k) 2)))) (taylor 0 l) (#s(alt (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) (patch (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* k (* t (pow (sin k) 2)))) (taylor 0 l) (#s(alt (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) (patch (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* k (* t (pow (sin k) 2)))) (taylor inf l) (#s(alt (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) (patch (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* k (* t (pow (sin k) 2)))) (taylor inf l) (#s(alt (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) (patch (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* k (* t (pow (sin k) 2)))) (taylor inf l) (#s(alt (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) (patch (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* k (* t (pow (sin k) 2)))) (taylor inf l) (#s(alt (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) (patch (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* k (* t (pow (sin k) 2)))) (taylor -inf l) (#s(alt (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) (patch (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (/ (* l (cos k)) (* k (* t (pow (sin k) 2)))) (taylor -inf l) (#s(alt (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) (patch (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) #<representation binary64>) () ())) ())
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#s(alt (* (pow k 4) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t)))))) (taylor 0 k) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t))))))) (taylor 0 k) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor inf k) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor inf k) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor inf k) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor inf k) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (neg (* -2 k))))))) (taylor -inf k) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (neg (* -2 k))))))) (taylor -inf k) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (neg (* -2 k))))))) (taylor -inf k) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (neg (* -2 k))))))) (taylor -inf k) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor inf t) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor inf t) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor inf t) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor inf t) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor -inf t) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor -inf t) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor -inf t) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor -inf t) (#s(alt (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) (patch (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))) #<representation binary64>) () ())) ())
Calls

216 calls:

TimeVariablePointExpression
8.0ms
k
@inf
(* (/ (* l (cos k)) (* (+ (* (cos (+ k k)) -1/2) 1/2) (* k (* k t)))) (* 2 l))
4.0ms
t
@0
(/ (* l (/ 1 (* (sin k) (tan k)))) (* k t))
2.0ms
l
@0
(* (/ (* l (cos k)) (* (+ (* (cos (+ k k)) -1/2) 1/2) (* k (* k t)))) (* 2 l))
2.0ms
t
@0
(* (/ (* l (cos k)) (* (+ (* (cos (+ k k)) -1/2) 1/2) (* k (* k t)))) (* 2 l))
2.0ms
k
@-inf
(* (/ (* l (cos k)) (* (+ (* (cos (+ k k)) -1/2) 1/2) (* k (* k t)))) (* 2 l))

simplify344.0ms (2.2%)

Memory
8.5MiB live, 596.5MiB allocated
Algorithm
egg-herbie
Rules
9 374×lower-fma.f64
9 374×lower-fma.f32
8 500×lower-*.f64
8 500×lower-*.f32
4 240×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036513466
1118713365
2439013356
0880713030
Stop Event
iter limit
node limit
Counts
864 → 863
Calls
Call 1
Inputs
(/ (* 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)) (* (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 (* (pow k 4) t))
(/ (+ (* -1/6 (/ (* (pow k 2) l) t)) (/ l t)) (pow k 4))
(/ (+ (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/36 (/ l t)) (* 31/360 (/ l t))))) (* 1/6 (/ l t)))) (/ l t)) (pow k 4))
(/ (+ (* (pow k 2) (- (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ l t)) (* 31/360 (/ l t)))) (+ (* -31/2160 (/ l t)) (* 173/5040 (/ l t)))))) (+ (* -1/36 (/ l t)) (* 31/360 (/ l t))))) (* 1/6 (/ l t)))) (/ l t)) (pow k 4))
(/ (* 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)) (* (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)) (* (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)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ l (* (pow k 3) t))
(/ (+ (* -1/6 (/ (* (pow k 2) l) t)) (/ l t)) (pow k 3))
(/ (+ (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/36 (/ l t)) (* 31/360 (/ l t))))) (* 1/6 (/ l t)))) (/ l t)) (pow k 3))
(/ (+ (* (pow k 2) (- (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ l t)) (* 31/360 (/ l t)))) (+ (* -31/2160 (/ l t)) (* 173/5040 (/ l t)))))) (+ (* -1/36 (/ l t)) (* 31/360 (/ l t))))) (* 1/6 (/ l t)))) (/ l t)) (pow k 3))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/ (* l (cos k)) (pow (sin k) 2))
(/ (* l (cos k)) (pow (sin k) 2))
(/ (* l (cos k)) (pow (sin k) 2))
(/ (* l (cos k)) (pow (sin k) 2))
(/ (* l (cos k)) (pow (sin k) 2))
(/ (* l (cos k)) (pow (sin k) 2))
(/ (* l (cos k)) (pow (sin k) 2))
(/ (* l (cos k)) (pow (sin k) 2))
(/ (* l (cos k)) (pow (sin k) 2))
(/ (* l (cos k)) (pow (sin k) 2))
(/ (* l (cos k)) (pow (sin k) 2))
(/ (* l (cos k)) (pow (sin k) 2))
(/ l (pow k 2))
(/ (+ l (* -1/6 (* (pow k 2) l))) (pow k 2))
(/ (+ l (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/36 l) (* 31/360 l)))) (* 1/6 l)))) (pow k 2))
(/ (+ l (* (pow k 2) (- (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 l) (* 31/360 l))) (+ (* -31/2160 l) (* 173/5040 l))))) (+ (* -1/36 l) (* 31/360 l)))) (* 1/6 l)))) (pow k 2))
(/ (* l (cos k)) (pow (sin k) 2))
(/ (* l (cos k)) (pow (sin k) 2))
(/ (* l (cos k)) (pow (sin k) 2))
(/ (* l (cos k)) (pow (sin k) 2))
(/ (* l (cos k)) (pow (sin k) 2))
(/ (* l (cos k)) (pow (sin k) 2))
(/ (* l (cos k)) (pow (sin k) 2))
(/ (* l (cos k)) (pow (sin k) 2))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 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)))))
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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)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 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)))))
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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) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* (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)
(/ 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))
1
(+ 1 (/ (pow k 2) (pow t 2)))
(+ 1 (/ (pow k 2) (pow t 2)))
(+ 1 (/ (pow k 2) (pow t 2)))
(/ (pow k 2) (pow t 2))
(* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))
(* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))
(* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))
(/ (pow k 2) (pow t 2))
(* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))
(* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))
(* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))
(/ (pow k 2) (pow t 2))
(/ (+ (pow k 2) (pow t 2)) (pow t 2))
(/ (+ (pow k 2) (pow t 2)) (pow t 2))
(/ (+ (pow k 2) (pow t 2)) (pow t 2))
1
(+ 1 (/ (pow k 2) (pow t 2)))
(+ 1 (/ (pow k 2) (pow t 2)))
(+ 1 (/ (pow k 2) (pow t 2)))
1
(+ 1 (/ (pow k 2) (pow t 2)))
(+ 1 (/ (pow k 2) (pow t 2)))
(+ 1 (/ (pow k 2) (pow t 2)))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(pow k 2)
(* (pow k 2) (+ 1 (* -1/3 (pow k 2))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 k))))
(+ 1/2 (* -1/2 (cos (* 2 k))))
(+ 1/2 (* -1/2 (cos (* 2 k))))
(+ 1/2 (* -1/2 (cos (* 2 k))))
(+ 1/2 (* -1/2 (cos (neg (* -2 k)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 k)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 k)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 k)))))
(* (pow k 4) t)
(* (pow k 4) (+ t (* -1/3 (* (pow k 2) t))))
(* (pow k 4) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))
(* (pow k 4) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (neg (* -2 k)))))))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (neg (* -2 k)))))))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (neg (* -2 k)))))))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (neg (* -2 k)))))))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
Outputs
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ l (* (pow k 4) t))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
(/ (+ (* -1/6 (/ (* (pow k 2) l) t)) (/ l t)) (pow k 4))
(/.f64 (fma.f64 k (*.f64 k (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l t)) (*.f64 (*.f64 k k) (*.f64 k k)))
(/ (+ (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/36 (/ l t)) (* 31/360 (/ l t))))) (* 1/6 (/ l t)))) (/ l t)) (pow k 4))
(/.f64 (fma.f64 (*.f64 k k) (fma.f64 #s(literal -1/6 binary64) (/.f64 l t) (*.f64 (/.f64 (*.f64 l (*.f64 k k)) t) #s(literal -7/120 binary64))) (/.f64 l t)) (*.f64 (*.f64 k k) (*.f64 k k)))
(/ (+ (* (pow k 2) (- (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ l t)) (* 31/360 (/ l t)))) (+ (* -31/2160 (/ l t)) (* 173/5040 (/ l t)))))) (+ (* -1/36 (/ l t)) (* 31/360 (/ l t))))) (* 1/6 (/ l t)))) (/ l t)) (pow k 4))
(/.f64 (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (fma.f64 (/.f64 l t) #s(literal 151/7560 binary64) (*.f64 (/.f64 l t) #s(literal -7/720 binary64))) (neg.f64 (*.f64 k k)) (*.f64 (/.f64 l t) #s(literal -7/120 binary64))) (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l t)) (*.f64 (*.f64 k k) (*.f64 k k)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k k) t)))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k t)))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k t)))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k t)))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k t)))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k t)))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k t)))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k t)))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k t)))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k t)))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k t)))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k t)))
(/ (* l (cos k)) (* k (* t (pow (sin k) 2))))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 k t)))
(/ l (* (pow k 3) t))
(/.f64 l (*.f64 k (*.f64 (*.f64 k k) t)))
(/ (+ (* -1/6 (/ (* (pow k 2) l) t)) (/ l t)) (pow k 3))
(/.f64 (fma.f64 k (*.f64 k (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l t)) (*.f64 k (*.f64 k k)))
(/ (+ (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/36 (/ l t)) (* 31/360 (/ l t))))) (* 1/6 (/ l t)))) (/ l t)) (pow k 3))
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1
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1
#s(literal 1 binary64)
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1
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(* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))
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(*.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (*.f64 t (fma.f64 (*.f64 k k) #s(literal -1/315 binary64) #s(literal 2/45 binary64))) (*.f64 t #s(literal -1/3 binary64))) t))
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(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 k k) t))
(* (pow k 2) (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 k k) t))
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(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 k k) t))
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(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 k k) t))

rewrite569.0ms (3.6%)

Memory
-10.9MiB live, 362.1MiB allocated
Rules
4 894×lower-/.f32
4 874×lower-/.f64
4 096×lower-*.f32
4 056×lower-*.f64
2 066×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
075580
0113557
1424493
22886483
08146483
Stop Event
iter limit
node limit
iter limit
Counts
27 → 788
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k)
(/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t))
(*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
(*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))))
(*.f64 #s(literal 2 binary64) l)
#s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l k)) (*.f64 k k))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l k)) (*.f64 k k)))
(/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t))
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l))) (tan.f64 k))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (*.f64 t (*.f64 k (*.f64 t 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 (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
(*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l))
(/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t))))
(*.f64 l (cos.f64 k))
(*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t)) k))
(*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))
(/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64))
(/.f64 (*.f64 t (*.f64 k (*.f64 t t))) (*.f64 l l))
(fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 k (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (sin.f64 k) (tan.f64 k))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 k)) (/.f64 (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t))) (neg.f64 k)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 k (neg.f64 (*.f64 k t)))) (/.f64 (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 k (neg.f64 (*.f64 k t)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 k (*.f64 k t)))) (/.f64 (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k))) (neg.f64 (*.f64 k (*.f64 k t)))))
(neg.f64 (/.f64 (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t))) (neg.f64 k)))
(/.f64 l (*.f64 (*.f64 k (*.f64 k t)) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (sin.f64 k) (tan.f64 k)))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (sin.f64 k) (tan.f64 k))) k))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 k (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (sin.f64 k) (tan.f64 k)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 k (*.f64 k t)) (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 k (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (sin.f64 k) (tan.f64 k)))))))
(/.f64 (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 k (*.f64 k t)))
(/.f64 (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t))) k)
(/.f64 (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t))) (neg.f64 (neg.f64 k)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 k (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (sin.f64 k) (tan.f64 k))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (sin.f64 k) (tan.f64 k))) k)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 k (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (sin.f64 k) (tan.f64 k)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 k (*.f64 k t)) (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k))))))
(/.f64 (neg.f64 (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k (neg.f64 (*.f64 k t))))
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(/.f64 (neg.f64 l) (neg.f64 (*.f64 (*.f64 k (*.f64 k t)) (*.f64 (sin.f64 k) (tan.f64 k)))))
(/.f64 (neg.f64 (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t)))) (neg.f64 k))
(/.f64 (neg.f64 (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t)))) (neg.f64 (neg.f64 (neg.f64 k))))
(/.f64 (/.f64 #s(literal 1 binary64) k) (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 (/.f64 l (*.f64 k (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 k t))
(/.f64 (*.f64 (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k))) #s(literal 1 binary64)) (*.f64 k (*.f64 k t)))
(/.f64 (*.f64 (neg.f64 (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 k t)) k))
(/.f64 (*.f64 (/.f64 l (*.f64 k (*.f64 (sin.f64 k) (tan.f64 k)))) #s(literal 1 binary64)) (*.f64 k t))
(/.f64 (neg.f64 (neg.f64 (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k))))) (neg.f64 (*.f64 k (neg.f64 (*.f64 k t)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k))))) (neg.f64 (neg.f64 (*.f64 k (*.f64 k t)))))
(/.f64 (neg.f64 (/.f64 l (*.f64 k (*.f64 (sin.f64 k) (tan.f64 k))))) (neg.f64 (*.f64 k t)))
(/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t))) #s(literal 1 binary64)) k)
(/.f64 (*.f64 (neg.f64 (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 #s(literal 1 binary64) k)) (neg.f64 (*.f64 k t)))
(/.f64 (*.f64 (/.f64 l (*.f64 k (*.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 #s(literal 1 binary64) k)) t)
(/.f64 (/.f64 (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k))) t) (*.f64 k k))
(/.f64 (/.f64 (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 k k)) t)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) k)) (neg.f64 (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (sin.f64 k) (tan.f64 k)))))
(/.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k))) #s(literal 1 binary64))) (neg.f64 (*.f64 k (*.f64 k t))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 (*.f64 k t)) k)))
(/.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 k (*.f64 (sin.f64 k) (tan.f64 k)))) #s(literal 1 binary64))) (neg.f64 (*.f64 k t)))
(/.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t))) #s(literal 1 binary64))) (neg.f64 k))
(/.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 #s(literal 1 binary64) k))) (neg.f64 (neg.f64 (*.f64 k t))))
(/.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 k (*.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 #s(literal 1 binary64) k))) (neg.f64 t))
(/.f64 (neg.f64 (/.f64 (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k))) t)) (*.f64 k (neg.f64 k)))
(/.f64 (neg.f64 (/.f64 (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 k k))) (neg.f64 t))
(pow.f64 (*.f64 k (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (sin.f64 k) (tan.f64 k)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (sin.f64 k) (tan.f64 k))) k) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 k (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (sin.f64 k) (tan.f64 k)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 k (*.f64 k t)) (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k)))) #s(literal -1 binary64))
(*.f64 l (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 k t) (*.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 #s(literal 1 binary64) k)))
(*.f64 l (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 k (*.f64 k t))))
(*.f64 l (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 k t) (*.f64 (sin.f64 k) (tan.f64 k)))) k))
(*.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (*.f64 k (*.f64 k t)) (*.f64 (sin.f64 k) (tan.f64 k)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k))) (/.f64 l (*.f64 k (*.f64 k t))))
(*.f64 (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k))) (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k t))))
(*.f64 (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 k t)) k))
(*.f64 (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t))) (/.f64 #s(literal 1 binary64) k))
(*.f64 (/.f64 l k) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 k t) (*.f64 (sin.f64 k) (tan.f64 k)))))
(*.f64 (/.f64 l k) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 #s(literal 1 binary64) k)))
(*.f64 (neg.f64 (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t)))) (/.f64 #s(literal 1 binary64) (neg.f64 k)))
(*.f64 (/.f64 l t) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 k k)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 l (*.f64 k k)))
(*.f64 (/.f64 l (*.f64 k k)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))))
(*.f64 (/.f64 #s(literal 1 binary64) k) (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t))))
(*.f64 (/.f64 l (*.f64 k (*.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 #s(literal 1 binary64) (*.f64 k t)))
(*.f64 (/.f64 l (*.f64 k t)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k))) k))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 k t) (*.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 l k))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k))) k) (/.f64 l (*.f64 k t)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 k k)) (/.f64 l t))
(*.f64 (pow.f64 (/.f64 k (neg.f64 (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 k t))))
(*.f64 (pow.f64 (/.f64 k (/.f64 l (*.f64 k (*.f64 (sin.f64 k) (tan.f64 k))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) t))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (sin.f64 k) (tan.f64 k)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 k t))) (neg.f64 (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t)))))
(neg.f64 (neg.f64 (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t)))))
(/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t)))
(/.f64 l (*.f64 (*.f64 k t) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (sin.f64 k) (tan.f64 k))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (sin.f64 k) (tan.f64 k))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 l (*.f64 k (*.f64 (sin.f64 k) (tan.f64 k))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (sin.f64 k) (tan.f64 k))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (/.f64 l (*.f64 k (*.f64 (sin.f64 k) (tan.f64 k)))))))
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(pow.f64 (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (sin.f64 k) (tan.f64 k))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (sin.f64 k) (tan.f64 k))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 t (/.f64 l (*.f64 k (*.f64 (sin.f64 k) (tan.f64 k))))) #s(literal -1 binary64))
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(*.f64 (/.f64 l k) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))))
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(/.f64 (neg.f64 (*.f64 (*.f64 k (*.f64 k t)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 k k)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 k k))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 k (*.f64 k t)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 k k)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 k (*.f64 k t)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 k k))))) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 k (*.f64 k t)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 k k))))))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 k k)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 k (*.f64 k t)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 k k))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (+.f64 k k)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 k (*.f64 k t)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 k k))))) #s(literal -1/4 binary64)) (*.f64 k (*.f64 k t)))) (neg.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 k k))))))) (*.f64 k (*.f64 k t)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 k (*.f64 k t)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 k (*.f64 k t)) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 k (*.f64 k t)) #s(literal 1/2 binary64)) (*.f64 (*.f64 k (*.f64 k t)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 k (*.f64 k t)) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))) (*.f64 (*.f64 k (*.f64 k t)) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 k (*.f64 k t)) #s(literal 1/2 binary64)) (*.f64 (*.f64 k (*.f64 k t)) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 k (*.f64 k t)) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 k (*.f64 k t)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 k (*.f64 k t)) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))) (*.f64 (*.f64 k (*.f64 k t)) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 k (*.f64 k t)) #s(literal 1/2 binary64)) (*.f64 (*.f64 k (*.f64 k t)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 k (*.f64 k t)) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))) (*.f64 (*.f64 k (*.f64 k t)) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 k (*.f64 k t))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (*.f64 k (*.f64 k t))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 k (*.f64 k t))) (*.f64 #s(literal 1/2 binary64) (*.f64 k (*.f64 k t))) (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (*.f64 k (*.f64 k t))) (*.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 k (*.f64 k t))) (*.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (*.f64 k (*.f64 k t)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (*.f64 k (*.f64 k t))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 k (*.f64 k t))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (*.f64 k (*.f64 k t))) (*.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (*.f64 k (*.f64 k t))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 k (*.f64 k t))) (*.f64 #s(literal 1/2 binary64) (*.f64 k (*.f64 k t)))) (*.f64 (*.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (*.f64 k (*.f64 k t))) (*.f64 #s(literal 1/2 binary64) (*.f64 k (*.f64 k t)))))))
(*.f64 k (*.f64 (*.f64 k t) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 t (*.f64 (*.f64 k k) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 k t) (*.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 k k) (*.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))
(*.f64 (*.f64 k (*.f64 k t)) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 k k))
(*.f64 (*.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 k t))
(*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t)) k)
(*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k k)) t)
(*.f64 (*.f64 (*.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) k) k)
(*.f64 (*.f64 (*.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) k) t)
(*.f64 (*.f64 (*.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) k)

eval271.0ms (1.7%)

Memory
24.0MiB live, 286.8MiB allocated
Compiler

Compiled 38 789 to 2 894 computations (92.5% saved)

prune704.0ms (4.5%)

Memory
-38.9MiB live, 692.1MiB allocated
Pruning

48 alts after pruning (42 fresh and 6 done)

PrunedKeptTotal
New1 664291 693
Fresh331346
Picked145
Done022
Total1 698481 746
Accuracy
99.0%
Counts
1 746 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.0%
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) #s(approx (/ (* (tan k) (/ (* k k) (* t t))) l) (/.f64 (*.f64 k (*.f64 k k)) (*.f64 (*.f64 l t) t)))))
28.6%
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
24.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 31/3024 binary64)) (*.f64 (*.f64 k k) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))) (*.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))))
27.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) t) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) t))) (*.f64 (*.f64 k k) (*.f64 k k))))
72.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 l (cos.f64 k))) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 k (*.f64 k t))))
73.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 l (cos.f64 k))) (*.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 k t)))
66.5%
#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) l) (/.f64 l t)) (*.f64 k k)) (*.f64 k k)))
64.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 l (*.f64 l #s(literal 2 binary64))) (*.f64 k t)) (*.f64 k (*.f64 k k))))
64.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) k) (*.f64 k (*.f64 k (*.f64 k t)))))
46.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l l) t) (fma.f64 (*.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (*.f64 (*.f64 k k) (*.f64 k k))))
76.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l k)) k))
74.9%
#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 t)) (/.f64 l k)) (*.f64 k k)))
90.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t))) (*.f64 l #s(literal 2 binary64))) k))
64.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (*.f64 l l) (/.f64 #s(literal 2 binary64) (*.f64 k (*.f64 k t)))) (*.f64 k k)))
93.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 k (*.f64 (/.f64 (*.f64 k t) l) (*.f64 (sin.f64 k) (tan.f64 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) (*.f64 l l)) (*.f64 t (*.f64 (*.f64 k k) (*.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) (*.f64 l l)) (*.f64 t (exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64))))))
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) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.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) l) (*.f64 k (/.f64 (*.f64 k (*.f64 k (*.f64 k t))) l))))
79.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 k k)) (*.f64 #s(literal 2 binary64) l)))
83.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
83.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (*.f64 (*.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) k)) (*.f64 #s(literal 2 binary64) l)))
79.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (*.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l)))
71.0%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 #s(approx (+ (* (cos (+ k k)) -1/2) 1/2) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 k (*.f64 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)))) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
75.2%
#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) l) (*.f64 t (*.f64 k k))) (/.f64 l (*.f64 k k))))
75.3%
#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 k (*.f64 k (*.f64 k t)))) (/.f64 l k)))
68.2%
#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) l) (*.f64 k (*.f64 k (*.f64 k k)))) (/.f64 l t)))
46.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* l (cos k)) (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (*.f64 l (fma.f64 (*.f64 k k) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 l #s(literal -1/2 binary64))) l)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
47.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* l (cos k)) (fma.f64 (*.f64 k k) (*.f64 l (fma.f64 (*.f64 k k) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) l)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
50.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* l (cos k)) (fma.f64 (*.f64 k k) (*.f64 l #s(literal -1/2 binary64)) l)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
88.9%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 k (*.f64 k t)) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 l #s(literal 2 binary64))))
72.6%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 k (*.f64 k (*.f64 k (*.f64 k t))))) (*.f64 #s(literal 2 binary64) l)))
64.7%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t (*.f64 k k))) (/.f64 (*.f64 l l) (*.f64 k k))))
70.5%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (/.f64 l t) (/.f64 l (*.f64 k (*.f64 k k))))))
87.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 (/.f64 l (*.f64 (sin.f64 k) (tan.f64 k))) t) (*.f64 k k))))
93.1%
#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 (/.f64 (/.f64 l (*.f64 k (*.f64 (sin.f64 k) (tan.f64 k)))) t) k)))
95.0%
#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 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k))) (*.f64 (/.f64 k l) t)) k)))
56.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 l #s(literal -1/6 binary64) (*.f64 (*.f64 l (*.f64 k k)) #s(literal -7/120 binary64))) l) (*.f64 k k))) (*.f64 k t)) k)))
54.4%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 k (neg.f64 (*.f64 k (fma.f64 k (*.f64 k (fma.f64 l #s(literal 151/7560 binary64) (*.f64 l #s(literal -7/720 binary64)))) (*.f64 l #s(literal 7/120 binary64))))) (*.f64 l #s(literal -1/6 binary64))) l) (*.f64 k k))) (*.f64 k t)) k)))
60.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 l (*.f64 (*.f64 k k) #s(literal -1/6 binary64)) l) (*.f64 k k))) (*.f64 k t)) k)))
94.6%
#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 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t))) k)))
53.2%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 #s(approx (/ (* l (/ 1 (* (sin k) (tan k)))) (* k t)) (/.f64 (fma.f64 k (*.f64 k (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l t)) (*.f64 k (*.f64 k k)))) k)))
88.7%
#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 (/.f64 l (*.f64 k k)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))))))
94.5%
#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 (/.f64 l k) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 #s(literal 1 binary64) k)))))
39.0%
#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) #s(approx (/ (/ (* l (/ 1 (* (sin k) (tan k)))) (* k t)) k) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (fma.f64 (/.f64 l t) #s(literal 151/7560 binary64) (*.f64 (/.f64 l t) #s(literal -7/720 binary64))) (neg.f64 (*.f64 k k)) (*.f64 (/.f64 l t) #s(literal -7/120 binary64))) (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l t)) (*.f64 (*.f64 k k) (*.f64 k k))))))
52.3%
#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) #s(approx (/ (/ (* l (/ 1 (* (sin k) (tan k)))) (* k t)) k) (/.f64 (fma.f64 k (*.f64 k (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l t)) (*.f64 (*.f64 k k) (*.f64 k k))))))
70.7%
#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) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
70.8%
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))) l))))
Compiler

Compiled 4 229 to 1 257 computations (70.3% saved)

regimes261.0ms (1.7%)

Memory
32.8MiB live, 234.8MiB allocated
Counts
122 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 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 (*.f64 k (*.f64 (*.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 l (*.f64 k (*.f64 k (*.f64 k (*.f64 k t))))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #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 (*.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 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (*.f64 k 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) l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 (*.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 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 k (*.f64 k (*.f64 k t)))) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 k (/.f64 (*.f64 k (*.f64 k (*.f64 k t))) 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t)))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) k) (*.f64 k (*.f64 k (*.f64 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)) 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 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k t)) (*.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 (*.f64 l #s(literal 2 binary64))) (*.f64 k t)) (*.f64 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 #s(literal 2 binary64) l) (/.f64 (/.f64 (/.f64 l k) k) (*.f64 k (*.f64 k t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (/.f64 l 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 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l 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 #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l 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 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 #s(literal 2 binary64) (*.f64 l 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) (fma.f64 (*.f64 k 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) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 l (*.f64 (*.f64 k k) #s(literal -1/6 binary64)) l) (*.f64 k k))) (*.f64 k t)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 (fma.f64 k (*.f64 k (*.f64 l (/.f64 #s(literal -1/6 binary64) t))) (/.f64 l 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) #s(approx (/ (/ (* l (/ 1 (* (sin k) (tan k)))) (* k t)) k) (/.f64 (fma.f64 k (*.f64 k (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l 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 (fma.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) t) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) 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 #s(approx (/ (* l (/ 1 (* (sin k) (tan k)))) (* k t)) (/.f64 (fma.f64 k (*.f64 k (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l 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 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 l #s(literal -1/6 binary64) (*.f64 (*.f64 l (*.f64 k k)) #s(literal -7/120 binary64))) l) (*.f64 k k))) (*.f64 k t)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 k k) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -7/60 binary64)) t)) (*.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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 k k) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)) k) k) (*.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) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 k (neg.f64 (*.f64 k (fma.f64 k (*.f64 k (fma.f64 l #s(literal 151/7560 binary64) (*.f64 l #s(literal -7/720 binary64)))) (*.f64 l #s(literal 7/120 binary64))))) (*.f64 l #s(literal -1/6 binary64))) l) (*.f64 k k))) (*.f64 k t)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (/.f64 l t) #s(literal -2/45 binary64) (*.f64 (/.f64 l t) #s(literal -1/72 binary64))) (*.f64 l (/.f64 #s(literal -1/6 binary64) t))) (/.f64 l t)) (*.f64 (*.f64 k k) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (* 2 l) (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k))))) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 l l) t) #s(literal -1/72 binary64) (/.f64 (*.f64 #s(literal -2/45 binary64) (*.f64 l l)) t)) (*.f64 (*.f64 k k) (*.f64 #s(literal 2 binary64) (*.f64 k k))) (*.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 (fma.f64 (*.f64 k k) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 31/3024 binary64)) (/.f64 (*.f64 (*.f64 l l) #s(literal 7/120 binary64)) t)))) (*.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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 31/3024 binary64)) (*.f64 (*.f64 k k) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))) (*.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) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.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 #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 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (/ (* l (/ 1 (* (sin k) (tan k)))) (* k t)) k) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (fma.f64 (/.f64 l t) #s(literal 151/7560 binary64) (*.f64 (/.f64 l t) #s(literal -7/720 binary64))) (neg.f64 (*.f64 k k)) (*.f64 (/.f64 l t) #s(literal -7/120 binary64))) (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l 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 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.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) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k (*.f64 k k)))) (pow.f64 (/.f64 t l) #s(literal -1 binary64)))))
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
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(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t (*.f64 k k))) (*.f64 l (*.f64 l (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) (/.f64 t (*.f64 l l))) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (tan.f64 k) (*.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 l l)) (sin.f64 k)))) (fma.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 1 binary64)) (*.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 1 binary64)) (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 1 binary64))) #s(literal -1 binary64))) (fma.f64 (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 1 binary64)) (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 1 binary64)) (fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 l l)))) (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 (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 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (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)))))))
(/.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)))))
(/.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (*.f64 t t) (*.f64 (/.f64 t l) (*.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 k k) (*.f64 t t)) #s(literal -1 binary64)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 l l))))
(/.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
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l 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 (*.f64 k (*.f64 (sin.f64 k) (tan.f64 k)))) t) k)))
Calls

6 calls:

61.0ms
(*.f64 l l)
52.0ms
k
49.0ms
t
35.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
31.0ms
l
Results
AccuracySegmentsBranch
95.0%1t
96.7%2l
97.3%2k
95.0%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))))
95.0%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)))
95.0%1(*.f64 l l)
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes175.0ms (1.1%)

Memory
-24.8MiB live, 129.7MiB allocated
Counts
79 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 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 (*.f64 k (*.f64 (*.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 l (*.f64 k (*.f64 k (*.f64 k (*.f64 k t))))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #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 (*.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 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (*.f64 k 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) l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 (*.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 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 k (*.f64 k (*.f64 k t)))) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 k (/.f64 (*.f64 k (*.f64 k (*.f64 k t))) 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t)))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) k) (*.f64 k (*.f64 k (*.f64 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)) 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 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k t)) (*.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 (*.f64 l #s(literal 2 binary64))) (*.f64 k t)) (*.f64 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 #s(literal 2 binary64) l) (/.f64 (/.f64 (/.f64 l k) k) (*.f64 k (*.f64 k t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (/.f64 l 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 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l 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 #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l 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 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 #s(literal 2 binary64) (*.f64 l 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) (fma.f64 (*.f64 k 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) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 l (*.f64 (*.f64 k k) #s(literal -1/6 binary64)) l) (*.f64 k k))) (*.f64 k t)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 (fma.f64 k (*.f64 k (*.f64 l (/.f64 #s(literal -1/6 binary64) t))) (/.f64 l 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) #s(approx (/ (/ (* l (/ 1 (* (sin k) (tan k)))) (* k t)) k) (/.f64 (fma.f64 k (*.f64 k (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l 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 (fma.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) t) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) 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 #s(approx (/ (* l (/ 1 (* (sin k) (tan k)))) (* k t)) (/.f64 (fma.f64 k (*.f64 k (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l 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 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 l #s(literal -1/6 binary64) (*.f64 (*.f64 l (*.f64 k k)) #s(literal -7/120 binary64))) l) (*.f64 k k))) (*.f64 k t)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 k k) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -7/60 binary64)) t)) (*.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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 k k) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)) k) k) (*.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) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 k (neg.f64 (*.f64 k (fma.f64 k (*.f64 k (fma.f64 l #s(literal 151/7560 binary64) (*.f64 l #s(literal -7/720 binary64)))) (*.f64 l #s(literal 7/120 binary64))))) (*.f64 l #s(literal -1/6 binary64))) l) (*.f64 k k))) (*.f64 k t)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (/.f64 l t) #s(literal -2/45 binary64) (*.f64 (/.f64 l t) #s(literal -1/72 binary64))) (*.f64 l (/.f64 #s(literal -1/6 binary64) t))) (/.f64 l t)) (*.f64 (*.f64 k k) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (* 2 l) (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k))))) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 l l) t) #s(literal -1/72 binary64) (/.f64 (*.f64 #s(literal -2/45 binary64) (*.f64 l l)) t)) (*.f64 (*.f64 k k) (*.f64 #s(literal 2 binary64) (*.f64 k k))) (*.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 (fma.f64 (*.f64 k k) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 31/3024 binary64)) (/.f64 (*.f64 (*.f64 l l) #s(literal 7/120 binary64)) t)))) (*.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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 31/3024 binary64)) (*.f64 (*.f64 k k) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))) (*.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) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.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 #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 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (/ (* l (/ 1 (* (sin k) (tan k)))) (* k t)) k) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (fma.f64 (/.f64 l t) #s(literal 151/7560 binary64) (*.f64 (/.f64 l t) #s(literal -7/720 binary64))) (neg.f64 (*.f64 k k)) (*.f64 (/.f64 l t) #s(literal -7/120 binary64))) (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l 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 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.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) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k (*.f64 k k)))) (pow.f64 (/.f64 t l) #s(literal -1 binary64)))))
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* l (cos k)) (fma.f64 (*.f64 k k) (*.f64 l #s(literal -1/2 binary64)) l)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* l (cos k)) (fma.f64 (*.f64 k k) (*.f64 l (fma.f64 (*.f64 k k) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) l)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 (*.f64 k 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)))) (*.f64 t (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) #s(approx (/ (* (tan k) (/ (* k k) (* t t))) l) (/.f64 (*.f64 k (*.f64 k k)) (*.f64 (*.f64 l t) t)))))
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 k (*.f64 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)))) (*.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 l (cos.f64 k)) (*.f64 #s(approx (+ (* (cos (+ k k)) -1/2) 1/2) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 k (*.f64 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)))) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* l (cos k)) (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (*.f64 l (fma.f64 (*.f64 k k) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 l #s(literal -1/2 binary64))) l)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #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) #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 l (*.f64 (*.f64 k (*.f64 k t)) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 l #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #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)))))
#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) (exp.f64 (*.f64 (log.f64 (*.f64 k (/.f64 (*.f64 k (*.f64 k (*.f64 k 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 l (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (/.f64 (*.f64 k (*.f64 k t)) l)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t))) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (/.f64 (*.f64 k (*.f64 k t)) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 k (*.f64 (/.f64 (*.f64 k t) 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 (*.f64 (/.f64 l (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t))) (*.f64 l #s(literal 2 binary64))) k))
#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) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 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) (*.f64 l l)) (/.f64 (cos.f64 k) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 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 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 l (cos.f64 k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (*.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 k k))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (*.f64 (*.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t) k)) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 l (cos.f64 k)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 l (*.f64 #s(literal 2 binary64) (*.f64 l (cos.f64 k)))) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (/.f64 l (*.f64 k k)) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (sin.f64 k) (tan.f64 k)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 (/.f64 l (*.f64 k (*.f64 k t))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #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 l (*.f64 l (cos.f64 k))) (/.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) (*.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))))))))
#s(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 (*.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.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 #s(literal 2 binary64) (*.f64 l (*.f64 l (cos.f64 k)))) (*.f64 (*.f64 (-.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 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 #s(literal 2 binary64) l)) (*.f64 k (*.f64 k t))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l 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 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t))) k)))
Calls

6 calls:

41.0ms
(*.f64 l l)
31.0ms
t
30.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
20.0ms
l
20.0ms
k
Results
AccuracySegmentsBranch
94.6%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
94.6%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
94.6%1(*.f64 l l)
94.6%1t
94.6%1l
96.2%2k
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes127.0ms (0.8%)

Memory
6.6MiB live, 164.0MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 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 (*.f64 k (*.f64 (*.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 l (*.f64 k (*.f64 k (*.f64 k (*.f64 k t))))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #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 (*.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 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (*.f64 k 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) l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 (*.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 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 k (*.f64 k (*.f64 k t)))) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 k (/.f64 (*.f64 k (*.f64 k (*.f64 k t))) 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t)))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) k) (*.f64 k (*.f64 k (*.f64 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)) 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 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k t)) (*.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 (*.f64 l #s(literal 2 binary64))) (*.f64 k t)) (*.f64 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 #s(literal 2 binary64) l) (/.f64 (/.f64 (/.f64 l k) k) (*.f64 k (*.f64 k t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (/.f64 l 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 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l 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 #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l 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 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 #s(literal 2 binary64) (*.f64 l 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) (fma.f64 (*.f64 k 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) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 l (*.f64 (*.f64 k k) #s(literal -1/6 binary64)) l) (*.f64 k k))) (*.f64 k t)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 (fma.f64 k (*.f64 k (*.f64 l (/.f64 #s(literal -1/6 binary64) t))) (/.f64 l 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) #s(approx (/ (/ (* l (/ 1 (* (sin k) (tan k)))) (* k t)) k) (/.f64 (fma.f64 k (*.f64 k (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l 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 (fma.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) t) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) 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 #s(approx (/ (* l (/ 1 (* (sin k) (tan k)))) (* k t)) (/.f64 (fma.f64 k (*.f64 k (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l 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 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 l #s(literal -1/6 binary64) (*.f64 (*.f64 l (*.f64 k k)) #s(literal -7/120 binary64))) l) (*.f64 k k))) (*.f64 k t)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 k k) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -7/60 binary64)) t)) (*.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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 k k) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)) k) k) (*.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) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 k (neg.f64 (*.f64 k (fma.f64 k (*.f64 k (fma.f64 l #s(literal 151/7560 binary64) (*.f64 l #s(literal -7/720 binary64)))) (*.f64 l #s(literal 7/120 binary64))))) (*.f64 l #s(literal -1/6 binary64))) l) (*.f64 k k))) (*.f64 k t)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (/.f64 l t) #s(literal -2/45 binary64) (*.f64 (/.f64 l t) #s(literal -1/72 binary64))) (*.f64 l (/.f64 #s(literal -1/6 binary64) t))) (/.f64 l t)) (*.f64 (*.f64 k k) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (* 2 l) (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k))))) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 l l) t) #s(literal -1/72 binary64) (/.f64 (*.f64 #s(literal -2/45 binary64) (*.f64 l l)) t)) (*.f64 (*.f64 k k) (*.f64 #s(literal 2 binary64) (*.f64 k k))) (*.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 (fma.f64 (*.f64 k k) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 31/3024 binary64)) (/.f64 (*.f64 (*.f64 l l) #s(literal 7/120 binary64)) t)))) (*.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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 31/3024 binary64)) (*.f64 (*.f64 k k) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))) (*.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) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.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 #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 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (/ (* l (/ 1 (* (sin k) (tan k)))) (* k t)) k) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (fma.f64 (/.f64 l t) #s(literal 151/7560 binary64) (*.f64 (/.f64 l t) #s(literal -7/720 binary64))) (neg.f64 (*.f64 k k)) (*.f64 (/.f64 l t) #s(literal -7/120 binary64))) (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l 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 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.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) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k (*.f64 k k)))) (pow.f64 (/.f64 t l) #s(literal -1 binary64)))))
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* l (cos k)) (fma.f64 (*.f64 k k) (*.f64 l #s(literal -1/2 binary64)) l)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* l (cos k)) (fma.f64 (*.f64 k k) (*.f64 l (fma.f64 (*.f64 k k) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) l)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 (*.f64 k 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)))) (*.f64 t (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) #s(approx (/ (* (tan k) (/ (* k k) (* t t))) l) (/.f64 (*.f64 k (*.f64 k k)) (*.f64 (*.f64 l t) t)))))
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 k (*.f64 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)))) (*.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 l (cos.f64 k)) (*.f64 #s(approx (+ (* (cos (+ k k)) -1/2) 1/2) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 k (*.f64 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)))) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* l (cos k)) (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (*.f64 l (fma.f64 (*.f64 k k) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 l #s(literal -1/2 binary64))) l)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #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) #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 l (*.f64 (*.f64 k (*.f64 k t)) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 l #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #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)))))
#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) (exp.f64 (*.f64 (log.f64 (*.f64 k (/.f64 (*.f64 k (*.f64 k (*.f64 k 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 l (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (/.f64 (*.f64 k (*.f64 k t)) l)))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 l (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (/.f64 (*.f64 k (*.f64 k t)) l)))))
Calls

6 calls:

36.0ms
(*.f64 l l)
20.0ms
l
20.0ms
t
18.0ms
(*.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)))
16.0ms
k
Results
AccuracySegmentsBranch
91.6%1t
91.6%1l
91.6%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))))
91.6%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)))
91.6%1(*.f64 l l)
91.6%1k
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes147.0ms (0.9%)

Memory
0.9MiB live, 113.8MiB allocated
Counts
58 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 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 (*.f64 k (*.f64 (*.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 l (*.f64 k (*.f64 k (*.f64 k (*.f64 k t))))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #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 (*.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 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (*.f64 k 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) l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 (*.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 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 k (*.f64 k (*.f64 k t)))) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 k (/.f64 (*.f64 k (*.f64 k (*.f64 k t))) 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t)))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) k) (*.f64 k (*.f64 k (*.f64 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)) 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 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k t)) (*.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 (*.f64 l #s(literal 2 binary64))) (*.f64 k t)) (*.f64 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 #s(literal 2 binary64) l) (/.f64 (/.f64 (/.f64 l k) k) (*.f64 k (*.f64 k t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (/.f64 l 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 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l 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 #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l 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 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 #s(literal 2 binary64) (*.f64 l 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) (fma.f64 (*.f64 k 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) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 l (*.f64 (*.f64 k k) #s(literal -1/6 binary64)) l) (*.f64 k k))) (*.f64 k t)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 (fma.f64 k (*.f64 k (*.f64 l (/.f64 #s(literal -1/6 binary64) t))) (/.f64 l 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) #s(approx (/ (/ (* l (/ 1 (* (sin k) (tan k)))) (* k t)) k) (/.f64 (fma.f64 k (*.f64 k (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l 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 (fma.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) t) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) 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 #s(approx (/ (* l (/ 1 (* (sin k) (tan k)))) (* k t)) (/.f64 (fma.f64 k (*.f64 k (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l 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 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 l #s(literal -1/6 binary64) (*.f64 (*.f64 l (*.f64 k k)) #s(literal -7/120 binary64))) l) (*.f64 k k))) (*.f64 k t)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 k k) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -7/60 binary64)) t)) (*.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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 k k) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)) k) k) (*.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) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 k (neg.f64 (*.f64 k (fma.f64 k (*.f64 k (fma.f64 l #s(literal 151/7560 binary64) (*.f64 l #s(literal -7/720 binary64)))) (*.f64 l #s(literal 7/120 binary64))))) (*.f64 l #s(literal -1/6 binary64))) l) (*.f64 k k))) (*.f64 k t)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (/.f64 l t) #s(literal -2/45 binary64) (*.f64 (/.f64 l t) #s(literal -1/72 binary64))) (*.f64 l (/.f64 #s(literal -1/6 binary64) t))) (/.f64 l t)) (*.f64 (*.f64 k k) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (* 2 l) (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k))))) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 l l) t) #s(literal -1/72 binary64) (/.f64 (*.f64 #s(literal -2/45 binary64) (*.f64 l l)) t)) (*.f64 (*.f64 k k) (*.f64 #s(literal 2 binary64) (*.f64 k k))) (*.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 (fma.f64 (*.f64 k k) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 31/3024 binary64)) (/.f64 (*.f64 (*.f64 l l) #s(literal 7/120 binary64)) t)))) (*.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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 31/3024 binary64)) (*.f64 (*.f64 k k) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))) (*.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) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.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 #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 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (/ (* l (/ 1 (* (sin k) (tan k)))) (* k t)) k) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (fma.f64 (/.f64 l t) #s(literal 151/7560 binary64) (*.f64 (/.f64 l t) #s(literal -7/720 binary64))) (neg.f64 (*.f64 k k)) (*.f64 (/.f64 l t) #s(literal -7/120 binary64))) (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l 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 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.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) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k (*.f64 k k)))) (pow.f64 (/.f64 t l) #s(literal -1 binary64)))))
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* l (cos k)) (fma.f64 (*.f64 k k) (*.f64 l #s(literal -1/2 binary64)) l)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* l (cos k)) (fma.f64 (*.f64 k k) (*.f64 l (fma.f64 (*.f64 k k) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) l)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 (*.f64 k 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)))) (*.f64 t (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) #s(approx (/ (* (tan k) (/ (* k k) (* t t))) l) (/.f64 (*.f64 k (*.f64 k k)) (*.f64 (*.f64 l t) t)))))
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 k (*.f64 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)))) (*.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 l (cos.f64 k)) (*.f64 #s(approx (+ (* (cos (+ k k)) -1/2) 1/2) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 k (*.f64 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)))) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* l (cos k)) (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (*.f64 l (fma.f64 (*.f64 k k) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 l #s(literal -1/2 binary64))) l)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #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) #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 l (*.f64 (*.f64 k (*.f64 k t)) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 l #s(literal 2 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #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)))))
#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) (exp.f64 (*.f64 (log.f64 (*.f64 k (/.f64 (*.f64 k (*.f64 k (*.f64 k t))) 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 (*.f64 l #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l k)) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 k (*.f64 k t)) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 l #s(literal 2 binary64))))
Calls

6 calls:

43.0ms
(*.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)))
42.0ms
k
17.0ms
t
15.0ms
l
14.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
92.5%2k
88.9%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))))
88.9%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)))
92.0%2l
91.2%2(*.f64 l l)
91.0%2t
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes151.0ms (1%)

Memory
-17.5MiB live, 122.4MiB allocated
Counts
55 → 2
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 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 (*.f64 k (*.f64 (*.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 l (*.f64 k (*.f64 k (*.f64 k (*.f64 k t))))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #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 (*.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 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (*.f64 k 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) l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 (*.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 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 k (*.f64 k (*.f64 k t)))) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 k (/.f64 (*.f64 k (*.f64 k (*.f64 k t))) 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t)))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) k) (*.f64 k (*.f64 k (*.f64 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)) 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 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k t)) (*.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 (*.f64 l #s(literal 2 binary64))) (*.f64 k t)) (*.f64 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 #s(literal 2 binary64) l) (/.f64 (/.f64 (/.f64 l k) k) (*.f64 k (*.f64 k t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (/.f64 l 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 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l 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 #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l 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 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 #s(literal 2 binary64) (*.f64 l 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) (fma.f64 (*.f64 k 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) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 l (*.f64 (*.f64 k k) #s(literal -1/6 binary64)) l) (*.f64 k k))) (*.f64 k t)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 (fma.f64 k (*.f64 k (*.f64 l (/.f64 #s(literal -1/6 binary64) t))) (/.f64 l 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) #s(approx (/ (/ (* l (/ 1 (* (sin k) (tan k)))) (* k t)) k) (/.f64 (fma.f64 k (*.f64 k (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l 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 (fma.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) t) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) 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 #s(approx (/ (* l (/ 1 (* (sin k) (tan k)))) (* k t)) (/.f64 (fma.f64 k (*.f64 k (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l 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 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 l #s(literal -1/6 binary64) (*.f64 (*.f64 l (*.f64 k k)) #s(literal -7/120 binary64))) l) (*.f64 k k))) (*.f64 k t)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 k k) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -7/60 binary64)) t)) (*.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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 k k) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)) k) k) (*.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) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 k (neg.f64 (*.f64 k (fma.f64 k (*.f64 k (fma.f64 l #s(literal 151/7560 binary64) (*.f64 l #s(literal -7/720 binary64)))) (*.f64 l #s(literal 7/120 binary64))))) (*.f64 l #s(literal -1/6 binary64))) l) (*.f64 k k))) (*.f64 k t)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (/.f64 l t) #s(literal -2/45 binary64) (*.f64 (/.f64 l t) #s(literal -1/72 binary64))) (*.f64 l (/.f64 #s(literal -1/6 binary64) t))) (/.f64 l t)) (*.f64 (*.f64 k k) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (* 2 l) (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k))))) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 l l) t) #s(literal -1/72 binary64) (/.f64 (*.f64 #s(literal -2/45 binary64) (*.f64 l l)) t)) (*.f64 (*.f64 k k) (*.f64 #s(literal 2 binary64) (*.f64 k k))) (*.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 (fma.f64 (*.f64 k k) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 31/3024 binary64)) (/.f64 (*.f64 (*.f64 l l) #s(literal 7/120 binary64)) t)))) (*.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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 31/3024 binary64)) (*.f64 (*.f64 k k) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))) (*.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) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.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 #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 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (/ (* l (/ 1 (* (sin k) (tan k)))) (* k t)) k) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (fma.f64 (/.f64 l t) #s(literal 151/7560 binary64) (*.f64 (/.f64 l t) #s(literal -7/720 binary64))) (neg.f64 (*.f64 k k)) (*.f64 (/.f64 l t) #s(literal -7/120 binary64))) (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l 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 (*.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.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) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 k (*.f64 k k)))) (pow.f64 (/.f64 t l) #s(literal -1 binary64)))))
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* l (cos k)) (fma.f64 (*.f64 k k) (*.f64 l #s(literal -1/2 binary64)) l)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* l (cos k)) (fma.f64 (*.f64 k k) (*.f64 l (fma.f64 (*.f64 k k) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) l)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 (*.f64 k 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)))) (*.f64 t (*.f64 k k))))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 k) (/.f64 (*.f64 t (*.f64 t t)) l)) #s(approx (/ (* (tan k) (/ (* k k) (* t t))) l) (/.f64 (*.f64 k (*.f64 k k)) (*.f64 (*.f64 l t) t)))))
(/.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 #s(approx (+ 1 (pow (/ k t) 2)) (/.f64 (*.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 k (*.f64 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)))) (*.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 l (cos.f64 k)) (*.f64 #s(approx (+ (* (cos (+ k k)) -1/2) 1/2) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 k (*.f64 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)))) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(approx (* l (cos k)) (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (*.f64 l (fma.f64 (*.f64 k k) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 l #s(literal -1/2 binary64))) l)) (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k (*.f64 k t)))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #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) #s(approx (* l (* l (cos k))) (*.f64 l l))) (*.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 #s(literal 2 binary64) l) (/.f64 (*.f64 l (cos.f64 k)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.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 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l k)) k))
Calls

6 calls:

52.0ms
l
31.0ms
(/.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))))
21.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
15.0ms
t
15.0ms
k
Results
AccuracySegmentsBranch
76.6%1(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
76.6%1(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
78.3%2t
76.6%1(*.f64 l l)
76.6%1l
76.6%1k
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes36.0ms (0.2%)

Memory
31.9MiB live, 66.6MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 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 (*.f64 k (*.f64 (*.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 l (*.f64 k (*.f64 k (*.f64 k (*.f64 k t))))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #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 (*.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 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (*.f64 k 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) l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 (*.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 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 k (*.f64 k (*.f64 k t)))) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 k (/.f64 (*.f64 k (*.f64 k (*.f64 k t))) 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t)))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) k) (*.f64 k (*.f64 k (*.f64 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)) 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 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k t)) (*.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 (*.f64 l #s(literal 2 binary64))) (*.f64 k t)) (*.f64 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 #s(literal 2 binary64) l) (/.f64 (/.f64 (/.f64 l k) k) (*.f64 k (*.f64 k t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (/.f64 l 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 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l 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 #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l 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 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 #s(literal 2 binary64) (*.f64 l 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) (fma.f64 (*.f64 k 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) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 l (*.f64 (*.f64 k k) #s(literal -1/6 binary64)) l) (*.f64 k k))) (*.f64 k t)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 (fma.f64 k (*.f64 k (*.f64 l (/.f64 #s(literal -1/6 binary64) t))) (/.f64 l 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) #s(approx (/ (/ (* l (/ 1 (* (sin k) (tan k)))) (* k t)) k) (/.f64 (fma.f64 k (*.f64 k (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l 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 (fma.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -1/3 binary64)) t) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) 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 #s(approx (/ (* l (/ 1 (* (sin k) (tan k)))) (* k t)) (/.f64 (fma.f64 k (*.f64 k (/.f64 (*.f64 l #s(literal -1/6 binary64)) t)) (/.f64 l 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 (*.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 l #s(literal -1/6 binary64) (*.f64 (*.f64 l (*.f64 k k)) #s(literal -7/120 binary64))) l) (*.f64 k k))) (*.f64 k t)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 k k) (*.f64 (*.f64 k k) (/.f64 (*.f64 (*.f64 l l) #s(literal -7/60 binary64)) t)) (*.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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 k k) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64)) k) k) (*.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) l) (/.f64 (/.f64 #s(approx (* l (/ 1 (* (sin k) (tan k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 k (neg.f64 (*.f64 k (fma.f64 k (*.f64 k (fma.f64 l #s(literal 151/7560 binary64) (*.f64 l #s(literal -7/720 binary64)))) (*.f64 l #s(literal 7/120 binary64))))) (*.f64 l #s(literal -1/6 binary64))) l) (*.f64 k k))) (*.f64 k t)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 (fma.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (fma.f64 (/.f64 l t) #s(literal -2/45 binary64) (*.f64 (/.f64 l t) #s(literal -1/72 binary64))) (*.f64 l (/.f64 #s(literal -1/6 binary64) t))) (/.f64 l t)) (*.f64 (*.f64 k k) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (* (* 2 l) (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k))))) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 l l) t) #s(literal -1/72 binary64) (/.f64 (*.f64 #s(literal -2/45 binary64) (*.f64 l l)) t)) (*.f64 (*.f64 k k) (*.f64 #s(literal 2 binary64) (*.f64 k k))) (*.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 (fma.f64 (*.f64 k k) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 k k) (fma.f64 (*.f64 k k) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 31/3024 binary64)) (/.f64 (*.f64 (*.f64 l l) #s(literal 7/120 binary64)) t)))) (*.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 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (fma.f64 (*.f64 (*.f64 k k) (*.f64 k k)) (fma.f64 (*.f64 (/.f64 (*.f64 l l) t) #s(literal 31/3024 binary64)) (*.f64 (*.f64 k k) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 l l) t) #s(literal -7/60 binary64))) (*.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))))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l k)) k))
Calls

3 calls:

12.0ms
(*.f64 l l)
11.0ms
l
11.0ms
t
Results
AccuracySegmentsBranch
76.6%1l
76.6%1(*.f64 l l)
76.6%1t
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes105.0ms (0.7%)

Memory
-8.6MiB live, 75.0MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 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 (*.f64 k (*.f64 (*.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 l (*.f64 k (*.f64 k (*.f64 k (*.f64 k t))))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #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 (*.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 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (*.f64 k 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) l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 (*.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 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 k (*.f64 k (*.f64 k t)))) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 k (/.f64 (*.f64 k (*.f64 k (*.f64 k t))) 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t)))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) k) (*.f64 k (*.f64 k (*.f64 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)) 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 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k t)) (*.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 (*.f64 l #s(literal 2 binary64))) (*.f64 k t)) (*.f64 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 #s(literal 2 binary64) l) (/.f64 (/.f64 (/.f64 l k) k) (*.f64 k (*.f64 k t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 (/.f64 l 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 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k t)) (/.f64 l 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 #s(literal 2 binary64) l) (/.f64 (/.f64 (/.f64 l k) k) (*.f64 k (*.f64 k t)))))
Calls

6 calls:

40.0ms
(*.f64 l l)
38.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
7.0ms
l
6.0ms
t
6.0ms
k
Results
AccuracySegmentsBranch
76.0%1k
76.0%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))))
76.0%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)))
76.0%1t
76.0%1l
76.0%1(*.f64 l l)
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes79.0ms (0.5%)

Memory
-20.2MiB live, 94.4MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 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 (*.f64 k (*.f64 (*.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 l (*.f64 k (*.f64 k (*.f64 k (*.f64 k t))))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #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 (*.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 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (*.f64 k 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) l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 (*.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 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 k (*.f64 k (*.f64 k t)))) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) l) (*.f64 k (/.f64 (*.f64 k (*.f64 k (*.f64 k t))) 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 #s(literal 2 binary64) (*.f64 k (*.f64 k t)))) (*.f64 k k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) k) (*.f64 k (*.f64 k (*.f64 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)) 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 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 k t)) (*.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 (*.f64 l #s(literal 2 binary64))) (*.f64 k t)) (*.f64 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)))))
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 k (*.f64 k (*.f64 k t)))) (/.f64 l k)))
Calls

6 calls:

41.0ms
l
13.0ms
k
7.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
6.0ms
t
5.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
75.3%1k
75.3%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))))
75.3%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)))
75.3%1t
75.3%1l
75.3%1(*.f64 l l)
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes22.0ms (0.1%)

Memory
15.5MiB live, 53.7MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 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 (*.f64 k (*.f64 (*.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 l (*.f64 k (*.f64 k (*.f64 k (*.f64 k t))))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 #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 (*.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 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (*.f64 k 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) l) (*.f64 l (/.f64 #s(literal 1 binary64) (*.f64 k (*.f64 (*.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 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)))
Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 k (*.f64 k (*.f64 k (*.f64 k t))))) (*.f64 #s(literal 2 binary64) l)))
Calls

6 calls:

5.0ms
(/.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))))
4.0ms
t
4.0ms
l
3.0ms
k
3.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
72.6%1k
72.6%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))))
72.6%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)))
72.6%1t
72.6%1l
72.6%1(*.f64 l l)
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes11.0ms (0.1%)

Memory
-3.5MiB live, 35.1MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 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 (*.f64 k (*.f64 (*.f64 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 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 k (*.f64 (*.f64 k (*.f64 k k)) t)))))
Calls

6 calls:

3.0ms
l
2.0ms
k
2.0ms
t
1.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
1.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
71.5%1t
71.5%1l
71.5%1k
71.5%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))))
71.5%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)))
71.5%1(*.f64 l l)
Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes8.0ms (0.1%)

Memory
25.7MiB live, 25.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

1.0ms
k
1.0ms
l
1.0ms
(*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
1.0ms
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
1.0ms
t
Results
AccuracySegmentsBranch
70.7%1t
70.7%1k
70.7%1l
70.7%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))))
70.7%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)))
70.7%1(*.f64 l l)
Compiler

Compiled 72 to 50 computations (30.6% saved)

bsearch45.0ms (0.3%)

Memory
-4.7MiB live, 109.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
40.0ms
4.639675843691775e-110
5.717791973385069e-103
Samples
14.0ms37×2valid
10.0ms34×3valid
6.0ms55×0valid
3.0ms18×1valid
Compiler

Compiled 409 to 259 computations (36.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 7.0ms (25.7% of total)
adjust: 5.0ms (18.4% of total)
ival-div: 4.0ms (14.7% of total)
ival-pow2: 3.0ms (11% of total)
ival-sub: 2.0ms (7.4% of total)
ival-tan: 2.0ms (7.4% of total)
ival-add: 2.0ms (7.4% of total)
ival-pow: 2.0ms (7.4% of total)
ival-sin: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Memory
-12.7MiB live, 60.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
2.0709524647773137e-141
4.7598357750984945e-141
Samples
8.0ms31×2valid
5.0ms18×3valid
4.0ms12×1valid
2.0ms19×0valid
Compiler

Compiled 241 to 155 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
adjust: 5.0ms (32% of total)
ival-div: 3.0ms (19.2% of total)
ival-pow2: 2.0ms (12.8% of total)
ival-mult: 2.0ms (12.8% of total)
ival-sub: 1.0ms (6.4% of total)
ival-add: 1.0ms (6.4% of total)
ival-pow: 1.0ms (6.4% of total)
ival-sin: 1.0ms (6.4% of total)
ival-assert: 0.0ms (0% of total)
ival-tan: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch43.0ms (0.3%)

Memory
15.2MiB live, 67.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
40.0ms
1.5639026238055597e-79
9.169319938559695e-77
Samples
16.0ms17×3valid
9.0ms35×2valid
6.0ms57×0valid
3.0ms19×1valid
Compiler

Compiled 367 to 233 computations (36.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-pow: 13.0ms (43.9% of total)
ival-div: 4.0ms (13.5% of total)
adjust: 4.0ms (13.5% of total)
ival-mult: 3.0ms (10.1% of total)
ival-pow2: 2.0ms (6.8% of total)
ival-sub: 1.0ms (3.4% of total)
ival-tan: 1.0ms (3.4% of total)
ival-add: 1.0ms (3.4% of total)
ival-sin: 1.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch33.0ms (0.2%)

Memory
2.2MiB live, 74.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
4.748239292265411e-22
3.4218287074782637e-20
Samples
13.0ms69×0valid
8.0ms31×2valid
2.0ms1valid
1.0ms3valid
Compiler

Compiled 339 to 200 computations (41% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-pow2: 4.0ms (20.3% of total)
ival-div: 3.0ms (15.2% of total)
ival-mult: 3.0ms (15.2% of total)
ival-sin: 3.0ms (15.2% of total)
adjust: 2.0ms (10.2% of total)
ival-tan: 2.0ms (10.2% of total)
ival-sub: 1.0ms (5.1% of total)
ival-add: 1.0ms (5.1% of total)
ival-pow: 1.0ms (5.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Memory
-3.5MiB live, 32.9MiB allocated
Algorithm
egg-herbie
Rules
56×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107671
1140671
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 k #s(literal 3873374817130363/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l 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 (*.f64 k (*.f64 (sin.f64 k) (tan.f64 k)))) t) k))))
(if (<=.f64 k #s(literal 5148598245097957/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l 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 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t))) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 l (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (/.f64 (*.f64 k (*.f64 k t)) l)))))
(if (<=.f64 k #s(literal 4562960586989249/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l k)) k)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 k (*.f64 k t)) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 l #s(literal 2 binary64)))))
(if (<=.f64 t #s(literal 5104235503814077/10633823966279326983230456482242756608 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 (*.f64 l (cos.f64 k)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.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 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l 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 #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l 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 k) k) (*.f64 k (*.f64 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 k (*.f64 k (*.f64 k t)))) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 k (*.f64 k (*.f64 k (*.f64 k t))))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 k (*.f64 (*.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) l) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))
Outputs
(if (<=.f64 k #s(literal 3873374817130363/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l 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 (*.f64 k (*.f64 (sin.f64 k) (tan.f64 k)))) t) k))))
(if (<=.f64 k #s(literal 3873374817130363/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 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) l) (*.f64 k (*.f64 k t))) (/.f64 l 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 (*.f64 k (*.f64 (sin.f64 k) (tan.f64 k)))) t) k))))
(if (<=.f64 k #s(literal 5148598245097957/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l 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 (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (*.f64 k t))) k))))
(if (<=.f64 k #s(literal 5148598245097957/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288 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) l) (*.f64 k (*.f64 k t))) (/.f64 l 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 (*.f64 (*.f64 k t) (*.f64 (sin.f64 k) (tan.f64 k)))) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 l (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 k) (tan.f64 k)) (/.f64 (*.f64 k (*.f64 k t)) l)))))
(if (<=.f64 k #s(literal 4562960586989249/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (*.f64 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l k)) k)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 (*.f64 k (*.f64 k t)) (*.f64 (sin.f64 k) (tan.f64 k)))) (*.f64 l #s(literal 2 binary64)))))
(if (<=.f64 k #s(literal 4562960586989249/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 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) l) (*.f64 k (*.f64 k t))) (/.f64 l 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 k (*.f64 k t)) (*.f64 (sin.f64 k) (tan.f64 k)))))))
(if (<=.f64 t #s(literal 5104235503814077/10633823966279326983230456482242756608 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 (*.f64 l (cos.f64 k)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.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 (/.f64 (*.f64 l #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l k)) k)))
(if (<=.f64 t #s(literal 5104235503814077/10633823966279326983230456482242756608 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 (*.f64 l (cos.f64 k)) (*.f64 #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.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 (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k (*.f64 k t))) (/.f64 l 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 #s(literal 2 binary64)) (*.f64 k (*.f64 k t))) (/.f64 l 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 (*.f64 k t))) (/.f64 l 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 k) k) (*.f64 k (*.f64 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 k (*.f64 k (*.f64 k t)))) (/.f64 l k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l k) (/.f64 (*.f64 #s(literal 2 binary64) l) (*.f64 k (*.f64 k (*.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 l (*.f64 k (*.f64 k (*.f64 k (*.f64 k t))))) (*.f64 #s(literal 2 binary64) l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 k (*.f64 k (*.f64 k (*.f64 k t)))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 #s(literal 2 binary64) l) (/.f64 l (*.f64 k (*.f64 (*.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) l) (/.f64 l (*.f64 k (*.f64 t (*.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) #s(approx (/ (* l (cos k)) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t (* k k)))) (/.f64 l (*.f64 t (*.f64 (*.f64 k k) (*.f64 k k)))))))

soundness1.1s (7.2%)

Memory
-8.2MiB live, 1 076.0MiB allocated
Rules
11 610×lower-fma.f64
11 610×lower-fma.f32
8 352×lower-fma.f64
8 352×lower-fma.f32
6 458×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064462
0106434
1350402
22434396
08705396
075580
0113557
1424493
22886483
08146483
01779728
15349648
218739392
371449392
080769180
01102370
13582366
215282296
349032296
085372278
056421
086399
1307339
22057335
08133335
Stop Event
fuel
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 1 311 to 678 computations (48.3% saved)

preprocess132.0ms (0.8%)

Memory
-2.7MiB live, 236.7MiB allocated
Remove

(negabs t)

(abs l)

Compiler

Compiled 2 240 to 1 052 computations (53% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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